EPA-600/2-75-023

August 1975        Environmental Protection Technology Series
                                ABSORPTION
   OF SULFUR DIOXIDE  IN SPRAY COLUMN
             AND  TURBULENT  CONTACTING
                                 ABSORBERS
                               U.S. Environmental Protection Agency
                               Office of Research md Development
                                    Washington, D. C. 20450

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                                      EPA-600/2-75-023
                  ABSORPTION
OF  SULFUR DIOXIDE IN SPRAY COLUMN
       AND  TURBULENT CONTACTING
                  ABSORBERS
                         by

                  C. Y. Wen and L. S . Fan

              Department of Chemical Engineering
                  West Virginia University
               Morgantown, West Virginia 26506
                   Grant No. R-800781.
                   ROAP No. 21ACY-041
                Program Element No. 1AB013
            EPA Project Officer: Robert H. Borgwardt

           Industrial Environmental Research Laboratory
            . Office, of Energy, Minerals, and Industry
           Research Triangle Park, North Carolina 27711
                     Prepared for

           U. S. ENVIRONMENTAL PROTECTION AGENCY
              Office of Research and Development
                  Washington, D. C. 20460

                     August 1975

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                                                          11

                        EPA REVIEW NOTICE
This report has been reviewed by the National Environmental Research
Center - Research Triangle Park, Office of Research and Development,
EPA, and approved for publication.  Approval does not signify that the
contents necessarily reflect the views and policies of the Environmental
Protection Agency, nor does mention of trade names or commercial
products constitute endorsement or recommendation for use.
                   RESEARCH REPORTING SERIES

Research reports of the Office of Research and Development, U.S. Environ-
mental Protection Agency, have been grouped into series. These broad
categories were established to facilitate further development and applica-
tion of environmental technology.  Elimination of traditional grouping was
consciously planned to foster technology transfer and maximum interface
in related fields.  These series are:

          1.  ENVIRONMENTAL HEALTH EFFECTS RESEARCH

          2.  ENVIRONMENTAL PROTECTION TECHNOLOGY

          3.  ECOLOGICAL RESEARCH

          4.  ENVIRONMENTAL MONITORING

          5.  SOCIOECONOMIC ENVIRONMENTAL STUDIES

          6.  SCIENTIFIC AND TECHNICAL ASSESSMENT REPORTS
          9.  MISCELLANEOUS

This report has been assigned to the ENVIRONMENTAL PROTECTION
TECHNOLOGY series. This series describes research performed to
develop and demonstrate instrumentation, equipment and methodology
to repair or prevent environmental degradation from point and non-
point sources of pollution.  This work provides the new or improved
technology required for the control and treatment of pollution sources
to meet environmental quality standards.
 This document is available to the public for sale through the National
 Technical Information Service, Springfield, Virginia 22161.

                 Publication No. EPA-600/2-75-023

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                                                               Ill
                         Table of Contents

                                                              Page



List of Figures	    v

List of Tables	viii

Chapter

       1.   Introduction  	    1

           1.1  Description of Scrubber-Holding Tank
                Recycle System Using Limestone/Lime
                Slurries 	    2

           1.2  Scope of Investigation 	    2

       2.   Literature Review 	    6

           2.1  General Review of Gas-Liquid Contactors  .   .    6

           2.2  Review of Turbulent Contacting Absorbers .   .    6

           2.3  Review of the Chemistry of SC>2 Scrubbing
                Using Limestone/Lime Slurries  	   21

                2.3.1  Chemical Reaction in S02
                       Absorption	   21

                2.3.2  Oxidation and Solid Precipitation .   .   23

       3.   Mathematical Model for SC>2 Absorption in
           Spray and TCA Scrubbers	   25

           3.1  Introduction	   25

           3.2  Mathematical Models of Spray and TCA
                Scrubbers	   25

                3.2.1  Scrubber Model	   27

                3.2.2  Mass Transfer Coefficients	   34

                3.2.3  Effect of Magnesium on SO- Scrubbing
                       Efficiency	   54

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                                                                   IV
                   Table  of Contents  (Continued)

                                                              Page

           3.3  Simulation of SC>2  Scrubbing With
                Limestone and Lime Slurries	58

       4.   Mechanism of S02 Scrubbing With
           Limestone Slurries 	   65

           4.1  Introduction	65

           4.2  Reaction  Mechanism  	   66

       5.   Analysis of pH for Lime Slurry at  the
           Outlet of the  Scrubber	76

           5.1  Introduction	76

           5.2  Liquid Phase Material Balance for the
                Scrubber	   77

       6.   Conclusion and Discussion	86

Nomenclature  	   90

Bibliography  	   94

Appendices

       A.   Numerical Example of the Simulation of
           EPA/RTP TCA Scrubber Using Lime  Slurry
           as the Scrubbing Medium	99

       B.   Some Comments  on the Concentration of
           Reactant, Cg,  Calculated Via Equilibrium
           Computer Program  	  104

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                                                                       V
                         List of Figures

Figure                                                        Page

  1.1  Configuration of Scrubber-Holding Tank
       Recycle System Using Limestone/Lime Slurries
       as the Scrubbing Medium 	    3

  3.1  Schematic of TVA Shawnee Three-Bed TCA	   28

  5.2  Schematic of TVA Shawnee Spray Tower  	   29

  3.3  Schematic of the EPA/RTP Research TCA Scrubber  ...   30

  3.4  Ratio of the Mass Transfer Resistances for
       Spray Devices, R ,  as a Function of the pH of
       the Scrubbing Slurry at the Inlet of the
       Scrubber	   37

  3.5  An Idealized Stage of a Turbulent Contacting
       Absorber	   42

  3.6  Typical Operating Data for the TVA Shawnee
       TCA Showing the Dependence of the S0_ Removal
       Efficiency on the Inlet S00 Concentration 	   46

  3.7  The Ratio of the Gas Film to the Liquid Film
       Mass Transfer Resistance as a Function of the
       Inlet SO- Partial Pressure for the TVA Shawnee
       TCA .  .  7	   48

  3.8  The Pre-Exponential Function, As, in the
       Expression for R, the Ratio of Resistances,
       as a Function of the pH of the Inlet Slurry
       for the TVA Shawnee TCA Without Spheres and
       Spray Column.  Low Magnesium Concentration
       (Mg < 350 ppm)	   50

  3.9  The Pre-Exponential Function, Ap, in the
       Expression for R, the Ratio of Resistances,
       as a Function of the pH of the Inlet Slurry
       for the Packed Section of TVA TCA and EPA TCA.
       Low Magnesium Concentration (Mg < 350 ppm)	   53

  3.10 The-Effect of Magnesium in the Scrubbing
       Slurry on the Ratio of the Gas to Liquid
       Mass Transfer Resistances in the Spray
       Section	   55

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                                                                        VI
                    List of Figures (Continued)

Figure                                                         Pa8e

  3.11  The Effect of Magnesium in the Scrubbing Slurry
        on the Ratio of the Gas to Liquid Mass Transfer
        Resistances in the Packed Section ..........   56
  3.12  Comparison of the Predicted and Observed S02
        Removal Efficiencies for Spray-Type Devices
        Using Limestone Slurry as the Scrubbing
        Medium  .......................   60

  3.13  Comparison of the Predicted and Observed S02
        Removal Efficiencies for TCA Scrubbers
        Using Limestone Slurry as Scrubbing Medium  .....   61

  3.14  Comparison of the Predicted and Observed S02
        Removal Efficiencies for TCA Scrubber Using
        Lime Slurry as the Scrubbing Medium .........   62

  4.1   The Overall Ratio of the Mass Transfer
        Resistances as a Function of the Arithmetic
        Average of the S0~ Partial Pressure in the
        Bulk Gas Phase Plotted as Suggested by
        Equation (4-6) .  Data from the TVA Shawnee
        TCA.  Low Magnesium Concentration in the
        Limestone Slurry   ..................   68

  4.2   The Overall Ratio of Mass Transfer Resistance
        as a Function  of the Arithmetic Average of
        the S02 Partial Pressure in the Bulk Gas
        Phase Plotted  as Suggested by Equation  (4-6) .
        Data from the  TVA Shawnee TCA.  High Magnesium
        Concentration  in the Limestone Slurry  ........    70

  4.3   Idealization of the Concentration Profiles  of
        Species Important  in the Transfer of S02
        Across the Gas-Liquid  Interface and the Chemical
        Reaction in the Liquid Phase   ............    73

  4.4   The Overall Ratio of Mass Transfer Resistances
        as a Function  of the Arithmetic Average of  the
        S02 Partial Pressure in  the  Bulk Gas Phase
        Plotted as Suggested by  Equation  (4-6) .   Data
        from the TVA Shawnee Spray Column.   Low Magne-
        sium Concentration  in  the  Limestone  Slurry   .....    74

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                                                                   VI 1
                   List of Figures (Continued)

                                                              Page

Figure

  5.1  Comparison of the Predicted and Observed
       Values of n for Lime Slurry at the  Inlet
       and Outlet of EPA/RTP TCA Scrubber	81

  5.2  Comparison of the Predicted and Observed
       Outlet Slurry pH for the Simulation of
       EPA/RTP TCA Scrubber Using Lime Slurry
       as the Scrubbing Medium	84

  5.3  Comparison of the Predicted and Observed
       S02 Removal Efficiencies for the Simulation
       of EPA/RTP TCA Scrubber Using Lime  Slurry
       as the Scrubbing Medium	86

  A.I  Relationship Between n and pH for Lime
       Scrubbing System for the Example Given
       in Appendix B	102

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                                                                         Vlll
                          List of Tables

Table

  2.1   Classification DJ Gas-Liquid Contactors 	   7

  2.2   Characteristics of Gas-Liquid Contactors  	   8

  2.3   Data on Sulfur Dioxide Reduction Using Gas-Liquid
        Contactors	12

  3.1   Range of Data for the Spray Column and TCA
        Operating Without Packing Spheres Used in
        Constructing Figure 3.4 	  38

  3.2   Range of Data for the EPA/RTP Research TCA Scrubber
        Used in the Estimation of the Gas Side Mass
        Transfer Coefficient for the Packed Section of
        the TCA Scrubber	44

  3.3   Range of Data for the TVA Shawnee TCA and EPA
        In-House TCA Used in Determining A  in Figure
        3.9	?	52

  3.4   Range of Scrubber Operating Data Used in
        Calculating the Effect of Magnesium on the
        Pre-Exponential Factor, A 	  57

  3.5   Summary of Equations Necessary for Simulating
        the Performance of the TVA Shawnee TCA and
        Spray Column and the EPA In-House TCA	59

  3.6   Range of Data Used in Constructing Figure 3.14.
        Data is for the EPA In-House TCA Using Lime
        Slurries as the Scrubbing Medium  	   63

  4.1   Comparison Between the Calculated Concentration
        of the Species Which is Hypothesized to Instanta-
        neously and Irreversibly React With Absorbed
        S02 as H_SO  in Limestone Slurries and Selected
        Species Concentration Predicted from Equilibrium  ...   71

  5.1   Range of Data Used in Constructing Figures 5.1,  5.2
        and 5.3.  Data is for the EPA In-House TCA Using
        Lime Slurries as the Scrubbing Medium	   84

  A. 1   Operating Conditions and Reference for the
        Example Given in Appendix B.  Data is for the
        EPA In-House TCA Using Lime Slurries as the
        Scrubbing Medium 	 104

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                             Chapter 1




                           Introduction






     The presence of sulfur dioxide in flue gases occurs in




many common processes such as the combustion of heavy




oil and coal, smelting operations, sulfuric acid manufacture




and metallurgical processes.  Because of the current concern over




impending energy shortages fuels with high sulfur content will be




increasingly used as important sources of energy in the future.




As a result, the environmental aspects of the burning of high




sulfur fuel and its associated SCL emission problems are being




given considerable attention by governments throughtout the




world.




     Due to the EPA regulations on sulfur dioxide emissions




associated with stack gas, much effort has gone into studying the




removal of sulfur dioxide from these gases.  Several processes for




the removal of sulfur dioxide from stack gases have been proposed




and studied in both small and large scale pilot-plant operations.




One of these processes is the wet scrubbing process which utilizes




recycled limestone or lime slurries as scrubbing liquid.  It is




this process upon which the attention of this study is focused




     In this chapter, a general description of the wet scrubbing




processes which utilize limestone/lime slurries as the  scrubbing medium




is given and the scope of the study is defined.

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1.1  Description of Scrubber-Holding Tank  Recycle  System Using
     Limestone/Lime Slurries

     A simplified flow sheet for a wet scrubber-holding tank recycle

system is given in Figure 1.1.   The absorption  of  sulfur dioxide is

carried out in the scrubber where intimate contact between the

upward flowing gas  and downward flowing slurry is maintained.  The

holding tank plays an important role in the recycle system by pro-

viding sufficient holding time  for the scrubber effluent so that the

precipitation of calcium sulfite and calcium sulfate  which are

produced by the reaction of sulfur dioxide and  oxygen with limestone

or lime slurries will take place.  These precipitants are then

purged from the system through the clarifier.  It  is in the make-

up tank that fresh limestone/lime slurries are  provided for the

slurry recycle system.

     Two of the most promising scrubbers for carrying out the sulfur

dioxide scrubbing with limestone/lime slurries  appear  to be the

turbulent contacting absorber  (TCA) and spray tower.  Several large

scale scrubber-holding tank recycle systems utilizing these

scrubbers have been built and a number of research projects on wet

scrubber systems have been sponsored by the EPA to test the

performance and reliability of these scrubbers.


1.2  Scope of  Investigation

     In this study, a mathematical model is developed which describes

the absorption of  sulfur dioxide by limestone or  lime slurries  in

a  scrubber.  Parameters appearing  in this model are  evaluated from

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                  GAS OUT
GAS IN
                          SCRUBBER
                                                     LIMESTONE/LIME
                                                       SLURRIES
                                  HOLDING

                                     TANK
                                                       MAKE-UP  TANK
                                                                                            CLARIFIER
                                                                                    SOLID
Figure 1.1  Configuration of Scrubber-Holding  Tank  Recycle  System  Using  Limestone/Lime
            Slurries as the Scrubbing Medium.

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experimental data obtained from the large scale turbulent contacting




absorber located at the TVA Shawnee power station and the EPA in-




house turbulent contacting absorber and spray column at  Research




Triangle Park, North Carolina.   Correlations are developed for the




gas film mass transfer coefficients and the overall  coefficients in




the liquid film based on the hydrodynamic and chemical characteristics




of the system.



     The scrubbing of sulfur dioxide from flue gas is simulated




utilizing the correlations developed in this study for the gas film




mass transfer coefficient and the ratio of mass transfer resistances.




The results are compared with the experimentally observed sulfur




dioxide removal efficiencies for widely differing size TCA scrubbers




and spray column scrubbers.  It is demonstrated that the mathematical




model developed here can be used in the design and scale-up of the




process of absorbing S02 into limestone or lime slurries in spray



column and TCA scrubbers.




     In light of the mathematical model and correlations developed




in this study the complex mechanism of SCL absorption into the




scrubbing slurry is analyzed and the key liquid phase reactions are



identified.




     The rate of C02 transfer between the gas and liquid phases in




the scrubber effluent is also studied.  Since the kinetics of




precipitation and dissolution of the calcium salts found in wet




scrubber processes are uncertain at this stage, the differential




material balances for the  liquid phase in the scrubber cannot be

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solved.  However, calculations based on assuming chemical equilibrium




in the liquid phase are shown to approximate the liquid  phase analysis




reasonably accurately.

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                             Chapter  2^




                        Literature Review






2.1  General Review of Gas-Liquid Contactors




     Gas-liquid contactors can be classified  according to the geometry




of dispersed fluid, the relative direction of flow of two phases, the




type of operation, and the force utilized.  A detailed description




of such classification has been shown in Table 2.1.   In Table 2.2,




the various types of gas-liquid contactors commonly utilized in the




chemical industries are presented.  Explanations for each type of




gas-liquid contactor are based on its hydrodynamic characteristics




and mass transfer behavior.  For flue gas  desulfurization systems,




various different types of gas-liquid contactors are being used.




Presently, a number of pilot plants are either being planned or under




construction.  Summaries of their operations  are provided by Deyitt




and ZadaL   ,  1974; and Ando'- •*, 1974.  Other references relating




to the application of gas-liquid contactors on the desulfurization




processes are  given in Table 2.3.  It should be noted that Table




2.3 is provided according  to the operational  characteristics of



these contactors.






2.2  Review of Turbulent Contacting Absorbers




     The turbulent contacting absorber  (TCA)} first described




  in 1959     ,  is  a scrubber primarily intended to remove particulates




from a dust laden gas.  TCA is a novel  type  of gas-liquid contacting




device which consists of non-flooding packings made of  low density

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                          Table 2.1
                Classification of gas-liquid

                            [2, 44, 45, 62]
                 contactors.
    Geometry of
 dispersed phase
    Liquid drop, Gas bubble,
    Liquid film, Liquid jet.
Relative direction
  of flow  of
   two phases
Cocurrent flow, Countercurrent
flow, Crosscurrent flow
Type of operation
Batch system,  Continuous system
Force utilized
Gravitational force, Centrifugal
force

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Characteristics of gas-liquid contactors.
                                       Table 2.2
                                         [2, 7, 22, 37, 44, 45, 46, 53, 61, 62, 65, 68]

Type

of

Equipment
Wetted Wall
tower


Bubble
tower


Agitated
vessel with
sparger
Packed
tower



Wooden grid
packed
tower


Flow Mechanism



Dispersed
phase
(liquid)



gas



gas


gas
or
liquid


liquid






Geometry of
dispersed
phase
(film)



bubble



bubble


film




film
or
drop




Relative
flow
direction
cocurrent
or
count er-
current
cocurrent
or
counter-
current



cocurrent
or
counter-
current

counter-
current
or
cross-
current


Liquid
surface
renewal
slight



slight



slight


can be
obtained
with
specific
packings
excel-
lent






Flow
ratio
variable



variable



variable


variable




variable
can be
quite
low

Power Consumption

Phase in
which
power is
supplied
gas



gas



gas


gas




gas





Power
Consumption
effect on
efficiency
slight



slight



slight


slight




slight




Mass Transfer


Phase in which
resistance
predominates
gas or liquid
phase con-
trolling

liquid phase
controlling





gas or liquid
phase con-
trolling


liquid phase
controlling



                                                                                                       oo

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Table 2.2 (Continued)
Type
of
Equipment
Bubble
cap
tower



Perforated
plate
tower



Perforated
plate
tower
without
downcomer
Rotational
current
tower

Flow Mechanism
Dispersed
phase
gas





gas





gas




gas



Geometry of
dispersed
phase
bubble





bubble





bubble




bubble



Relative
flow
direction
count er-
current
(cross-
current
on a
tray)
count er-
current
(cross-
current
on a
tray)
count er-
current



counter-
current
(cocurrent
on a tray)
.iquid
surface
renewal
sxcel-
lent




sxcel-
Lent




excel-
lent



excel-
lent


Flow
ratio
variable
can be
quite
low


variable
can be
quite
low


variable
can be
quite
low

variable
can be
quite
low
Power Consumption
Phase in
which
power is
supplied
gas





gas





gas




gas



Power
Consumption
effect on
efficiency
slight





slight





slight




slight



Mass Transfer
Phase in which
resistance
predominates
liquid phase
controlling




liquid phase
controlling




liquid phase
controlling



liquid phase
controlling



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Table 2.2 (Continued)
Type
of
Equipment
Spray
tower

Centrifugal
spray
scrubber


Cyclone
scrubber
Venturi
scrubber
Jet
scrubber
Centrifugal
contactor

Flow Mechanism
Dispersed
phase
liquid

liquid


liquid
liquid
liquid
liquid

Geometry of
Dispersed
phase
drop

drop


drop
drop
or
bubble
drop
drop
film
and jet

Relative
flow
direction
counter-
current
or
cocurrent
count er-
current
or
cross-
current
cocurrent
cocurrent
cocurrent
counter-
current
or
cocurrent

Liquid
surface
renewal
excel-
lent

good


slight
slight
good
excel-
lent

Flow
ratio
variable

high


high
high
high
variable

Power Consumption
Phase in
which
power is
supplied
liquid

gas


liquid
gas
or
liquid
liquid
gas
(or
equip-
ment
itself)
Power
Consumption
effect on
Efficiency
significant

significant


significant
significant
significant
significant

Mass Transfer
Phase in which
resistance
predominates
gas or liquid
phase
controlling

gas or liquid
phase
controlling


gas phase
controlling
gas or liquid
phase
controlling
gas or liquid
phase
controlling
gas or liquid
phase
controlling


-------
Table 2.2 (Continued)
Type
of
Equipment
Turbulent
contacting
absorber
Hydro-
Filter
scrubber

Flow Mechanism

Dispersed
Phase
liquid
(gas)
gas
(in
turbu-
lent
layer)
liquid
(other
portion)

Geometry of
dispersed
Phase
film
drop
(bubble)
bubble
drop


Relative
flow
direction
count er-
current
counter-
current
and
cocurrent


Liquid
surface
renewal
excel-
lent
fair


Flow
ratio
variable
variable

Power Consumption
Phase in
wh;Lch
power is
supplied
liquid
liquid

Power
Consumption
effect on
efficiency
significant
significant

Mass Transfer

Phase in which
resistance
predominates
gas phase
controlling
gas or liquid
phase
controlling


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                          Table 2.3




Data on sulfur dioxide reduction using gas-liquid contactors.
Type
of
contactor
Packed
tower

-
Wooden
grid packed
tower
Wooden
grid packed
tower
• •• i . •'
Wooden
grid packed
tower
Wooden
grid packed
tower
Wooden
grid packed
tower
Removal
process
Ammoniacal
liquor
process

Ammoniacal
liquor
process
\mmoniacal
liquor
process

Lime
process

Lime
arocess

Soda
process

SO vol %
Inlet
0.3



0.15



0.077


0.128
i
0.144

0.08

0.1
?
0.2
Outlet
0.06



0.018
(
0.038

0.017


0.01
i
0.04

0.006

0.05
i
0.1
Gas
flow
(kg/m hr)
2,100



4,750
i
10,000

4,200


5,000
i
10,500

11,000

4,400
i
13,500
Liquid
flow
(kg/m2hr)
4,000
i
6,700

2,800
i
5,500

55,800


4,800
»
13,600

32,000


3,000

Liquid
Gas
ratio
1.6
(
2.7

0.5



11.6


0.5
i
1.5

3.2

0.24
>
0.74
Pressure
loss
(mm aq)
<25



<25







<25


76


<25

Absorption
80



75
'
80

78


70
'
92

93


50

NOG
3.3



1.6
' •
2.3

3.4


30
i
110

2.4

0.75
i
0.95
(kgmole/
m hr atm)
95
i
250

100
i
350

680






24

143
i
325
Reference
[2]



[2]



[2]



[2]


[2]


[45]

Remarks
2" Raschig
ring
20 moles NH3/
100 moles H20



15.5 moles NH3/
100 moles H00
2

CaCO 10%

slurries



0.5N NaOH
solu.

                                                                                          N>

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Table 2.3 (Continued)
Type
of
contactor
Perforated
plate
tower
Spray
tower

Spray
tower
Cyclone
scrubber

Venturi
scrubber

Venturi
scrubber

Venturi
scrubber

Removal
process
Ammoniacal
liquor
process
Ammoniacal
S02 vol %
Inlet

0.3


liquor |
process
Lime
process
Soda
process

Ammoniaca!
liquor
process
Ammoniacal
liquor
process
Lime
process


0.3
0.08
i
0.17
0.1
i
0.17
1.4
i
1.6
0.13
i
0.14
Outlet

0.05




0.03
0.01
(
0.03
0.01
)
0.02
0.13
i
0.3
0.02
i
0.08
Gas
flow
2
(kg/m hr)
7,900
i
9,400
1,300
i
2,600
1,460
3,000
i
10,000
40
t
i/u
sec
40
i
\ Sll
DU
sec
, _ m
f\(\
ccir*
j c \*
Liquid
flow
(kg/m2hr)
2,500
i
3,200
1,700


7,600












Liquid
gas
ratio
0.26
t
0.37
1.3


5.5
0.26
i
1.52

0.4

0.9
;
2.2
0.4
i
2.1
Pressure
loss
(mm aq)
200
(
260





<50

145
(
380
300
i
500
330
i
620
Absorption
%
84





90
47
t
94
82
i
94
75
i
92
36
i
86
NOG
1.3
(
2.7



2.3
0.64
(
3.4
1.8
i
3.5
1.9
i
2.6
0.5
i
2.0
KOGa
(kgmole/
m hr atm)
220
t
260
15
>
35
11
240
i
750
1,400
i
4,300
550
i
700
500
)
2,200
Reference

[2]

[46]


[53]

[44]





[68]

[21
L ^* J

Remarks

6 stages




Ca(OH)2
6% slurries
0.6N Na»SO,
Z 6
C f\ 1 1 1
i>U 1U .






CaC03 10%

slurries

-------
Table 2.3 (Continued)
Type
of
contactor
Venturi
scrubber


Rotational

current
tower

Packed
tower

TCA
scrubber
Hydro -
filter
scrubber

Venturi
and after
scrubber
Removal
process
Soda
process


Ammonia

-water
Oxygen
-water
Lime-
stone
slurry
Na_CO_
2 3
solution
Na.CO_
£ j
solution

Na0CO_
2 3
Solution
S02 vol %
Inlet

1.5







0.2
i
0.23
0.09
i
0.12

0.12

0.06
i
0.12
Outlet

0.15







0.04
(
0.16
0.001
i
0.012
0.0012
i
0.023

0.005
i
0.041
Gas
flow
2
(kg/m hr)
40
I
1 Sll
oU
sec





1,995.8
i
2,620.8
7,459
i
14,918
4,787
(
7,196

1,794*
i
4,971
Liquid
flow
(kg/tAr)









7,308
(
11,232
48,060
!
101,196
Bottom
0-33,969
Top
0~12,071
7,962*
i
24,840
Liquid
gas
ratio
0.26
i
0.74

C.2

i
27.8

2.8
(
5.6
3.2
)
13.6
Bottom
0-7.09
Top
0-2.52
1.60
i
13.8
Pressure
loss
(mm aq)
300
i
500






2.54
i
50.8
53.34
(
317.5
114
i
312

61
i
330
Absorption
0,
'o

90







45
i
97
90
i
99
81
i
99

66
i
92
NOG

2.3


0.39

i
1.79

0.6
i
3.5
2.3
i
4.6
1.7
i
4.6

1.1
(
2.5
KOGa
(kgmole/
m hr atm)
520
i
650

621

i
1,732

55
i
425
104
J
417
301
i
1,228

16
i
101
Reference

[68]


TAI i
ol 1
L J



[6]

[29]
[38]
[29]
[38]

[29]
[38]
Remarks

Na2C03 solu.







1/2" intalox
packing

3 stages
5" packing/
stage
3/4" glass
packing

*only con-
sider that in
after scrubber

-------
Table 2.3 (Continued)
Type
of
contactor
TCA
scrubber



•
TCA
scrubber

Hydro-
filter
scrubber



Venturi
and after
scrubber



Venturi
and after
scrubber
Removal
process
Lime-
stone/
Lime-
stone
-MgO
slurries
Lime
slurry

Lime-
stone/
Lime-
stone
MgO
slurries
Lime-
stone/
Lime-
stone
-MgO
slurries
Lime
slurry
SO vol %
Inlet
0.19
(
0.31



0.24
i
0.28
0.18
i
0.36



0.22
,
0.34



0.15
0.35
Outlet
0.019
>
0.093



0.017
i
0.112
0.032
f
0.288



0.026
i
0.26



0.009
0.095
Gas
flow
(kg/m hr)
5,816
i
13,658




13,709

3,812
i
9,149



2,509*
i
6,490



5,408*
Liquid
flow
2
(kg/m hr)
49,428
>
119,520



113,400
;
136,800
Bottom
0~34,248
Top
0-11,509


0*
i
23,888



47,776*
Liquid
Gas
ratio
3.6
i
20.55



8.27
!
9.98
Bottom
0-8.98
Top
0-3.02


0
i
9.52



8.83
Pressure
loss
(mm aq)
45.7
i
254



152
(
381
167
i
381



15.2
i
330



84
96.5
Absorption
0.
'0
70
i
99



60
i
93
20
i
82



24
i
88



73
i
94
NOG
1.2
)
4.6



0.9
i
2.7
0.2
i
1.7



0.3
i
2.2



1.3
2.8
KOG3
(kgmole/
m hr atnf
42
i
382



75
i
225
28
i
577



6.1
t
115



57
122
Reference
[10]
;
[22]



[10]
i
[22]
[29]
i
[38]



[29]
i
[38]



[29]
[38]
Remarks
2~3 stages
10" packing/
stage



2-3 stages
10" packing/
stage
3/4" glass
packing




*only con-
sider that
in after
scrubber


*only con-
sider that
in after
scrubber

-------
Table 2.3 (Continued)
Type
* / r^**
of
contactor
Weir
scrubber
Counter-
current

tray
absorber


Removal
process
Lime
slurry
Lime-
stone

slurry



SCL vol %

Inlet
0.02
t
0.3
0.079
;

0.242


Outlet
0.002
0.03
0.0011
i

0.1


Gas
VJCL «J
flow
2
(kg/m hr)
30,000
SCFM
5,581
i

15,859



Liquid
flow-
(kg/in hr)
2,400
gpm
36,534
i

109,589



Liquid
gas
ratio
0.08
gal/
SCF
2.3
)

19.64



Pressure
loss
(mm aq)
25.4

25.4
i

254



Absorption
%
90

58
i

99



N
NOG
2.3

0.9
i

4.8

\f JJ
OG
\J \J
(kgmole/
3
m hr atm)


59

8Q 1
o •? x




Reference
[66]

[60]
L v v J






Remarks
Horizontal
Module
4 stages
2~3 stages





-------
                                                                        17
spheres placed between retaining grids.  Due to the counter-current



gas and liquid flows, the spheres are forced upward in a random,



turbulent motion, promoting intimate mixing between gas and  liquid.



The effect of the turbulent action is two fold.  First, gas  and



liquid are brought together for a thorough interfacial contact.



Second, the moving spheres are continuously cleaned by the tumbling



action which effectively prevents solids build-up and thus eliminat-



ing channeling, plugging and fouling.  ihe use of TCA permits much



greater gas and liquid velocities than are possible in conventional



scrubbers.  Thus, a smaller tower may be employed for a given



operation.



     In recent years a number of studies relating to hydrodynamic,


                                                               [491
mass and heat transfer in TCA have become available.  (Kulbach1   ,
1961; Douglas et al, 1963; Douglas    , 1964; Gel'perin et al
1965;     , 1966; Blyakher et al .    , 1967; Levsh et al.[50^, 1967,
    , 1968; Gel'perin et al, 1968; Chen and Douglas   \ 1968,



      1969; Balabekov et al.'-3-', 1969; Khanna'-47-' , 1971; Barile and
Meyer'-5-', 1971; Borgwardt '•1°^ , 1972; O'neill et al.^57^, 1972; Tichy



et al.[631, 1972; Tichy and Douglasl64], 1973; Epstein t291, 1973;
Barile et al.-, 1974; McMichael et al.-, 1975; Kito et al



1975).  However, the information on operational characteristics are



still fragmentary and the data reported are, in many instances,




contraditory.


     In studying hydrodynamic phenomena of TCA, Gel'perin et al .



(1966) reported that liquid hold-ups, bed expansions, flow behavior

-------
                                                                        18
and pressure drop are significantly affected by the liquid and gas



flow rates.  Contrary to the usual practice of TCA grid arrangement



which provides large free area to allow large flow rate, in their



study, the free area of grids are rather small.  Consequently the



pressure drop data which include large pressure drop across the



grids are not of practical interest.  Levsh et al.     , (1967)



presented a correlation for the low density disk packing and found



that pressure drop increases linearly with the gas flow rate.


         F81
Blyakher   ,  (1967) studied the pressure drop and separated the



effect of total pressure drop into components of contributions.



They are contributions due to the dry grid, the dry packing of the



bed, the liquid hold-up on the grid and the liquid hold-up of the



packing.  Similar analysis for pressure drop was later presented by



Gel'perin et  al.'-41-',  (1968).



     Liquid hold-up, bed expansion and minimum fluidization velocity


                                                        F231
in TCA were measured and correlated by Chen and Douglas    ,  (1968).



The liquid hold-up was found to be  independent of gas flow rate.



However, the  effect of both liquid  flow rate and packing diameter



appear to be  similar to that reported  for  the  conventional fixed bed



absorbers.  The minimum fluidization velocity  was observed to vary



with packing  diameter and  liquid  flow  rate.  In addition to these



variables the bed expansion correlation is also a function of gas


                            [241
flow rate   Chen and Douglas1  J,  (1969) studied the liquid mixing



behavior for TCA.  Liquid mixing  data  in terms of Peclet number was



correlated as a function of the Peclet number  in fixed  bed,  the ratio

-------
                                                                        19
of packing diameter to column diameter and  (u-u  ,)/umf .  Experimental




study for similar hydrodynamic parameters was also carried out by




Khanna'-47J(1971).  in his investigation, wider liquid  and gas flow




rates than that  reported by Chen and Douglas"-23' 24-",  (1968, 1969) were




examined.  In addition, the gas-liquid interfacial area composed of




liquid drops, liquid film and gas bubble was considered and correlated




in terms of hydrodynamic properties.




     C'neill et  al.^  ^, (1972) classified the mode of gas-liquid




contacting operation in a tower containing fluidizing packings into




two types:  type 1, fluidization in the absence of incipient flooding




and type 2, fluidization due to incipient flooding.  TCA scrubber




utilizes very low density packings, hence, is classified as type 1.




In this mode of  operation,  the gas flow rate is increased at a




constant liquid  flow rate until the upward force of liquid flow




balances the weight of packing plus the liquid hold up which is




equal to the total pressure drop.   The gas velocity at this point is




identifying below the flooding velocity.




     Static pressure within the expanded bed in TCA was measured by




Tichy et al.      , (1972).   They reported that the static pressure was




linearly proportional to the height of the bed.  Using the pressure




drop as the criterion, Tichy and DouglasL   , (1973)  later classified




the TCA into three hydrodynamic regimes.   These are static bed,




semi-mobile bed and fully mobile bed.   In fully mobile bed,  it is




divided into three regions,  i.e.,  constant liquid hold-up region,




increasing liquid hold-up region and flooding region.

-------
                                                                        20
                                                                ,  [27]
     For the mass and heat transfer studies in TCA, Douglas et al.



(1965) investigated the absorption of C02 and S02 from dust-laden  gas



by alkaline solution.  The condensation of steam from the gas mixture



containing steam, air and H_S emitted from pulp digesters was observed



to significantly increase the mass transfer coefficient over that  in



packed tower.  Subsequently, the gas absorption data of NH^ by boric


                                     F281
acid solution was reported by Douglas1   , (1964).  The experimenta-



tion was conducted for a dehumidification and cooling of hot air



saturated with steam.  It was found that the height of overall mass



transfer unit for the NH, absorption was approximately 1/2 to 1/3 of



that obtained in a packed bed.  Furthermore, significant increase in



mass transfer was observed for the dehumidification and cooling system.



TCA used as a cooling tower for heated  power-plant cooling water was



developed and analyzed by Barile and Meyer    ,  (1971) and Barile et


    f4l
al.    ,  (1974).  They revealed that a 20°F cooling range can be



easily achieved  in a one foot packing bed.



     The absorption  of S02 by alkaline  solutions  and slurries in TCA



has recently been studied in a small scale scrubber  (Borgwardt "•      ^)


                                    F29~38l
and a  large scale scrubber  (Epstein1      J).  A  significant improve-



ment  in S02 removal  efficiency was observed  for   TCA compared with



that  using conventional packed tower and venturi  scrubber.  The



extensive data reported from these units were analyzed.  Meanwhile,  a



mathematical model was presented to describe the  S09 absorption



process using limestone/lime slurries.   (McMichael et  al.     ,  1975).



      Kito et al.     ,  (1975) measured the  gas-liquid interfacial area

-------
                                                                    21
and gas side mass transfer coefficient is a TCA with stagnant liquid.

However, the liquid side mass transfer coefficient for TCA has so

far not been investigated.


2.3  Review of the Chemistry of SO  Scrubbing Using Limestone/Lime
     Slurries

2.3.1  Chemical Reaction in SO,, Absorption

     Perhaps, the most difficult problem in S0_ scrubbing by limestone/

lime slurries is associated with the understanding of the chemical

reactions in the liquid phase. In addition to the presence of a number

of solid constituents numerous ionic and neutral species are also

present in the liquid phase.  Examples of the major components present

are HS03 , S03=, CaS03, HS04 , MgS03> HS04 ,  ^SO^ S04=, Ca++, CaHC03+

HC03~, MgHC03+, C03=, H2C03, CaOH+, OH", H+,  Mg++, CaC03> etc.  An

attempt is made here to determine the key ionic or neutral reactions

associated with the S02 absorption in the overall scrubbing analysis.

Several reaction mechanisms have been proposed.  However, considerable

additional information is needed to determine the key mechanism.

Boll'-  , (1970) found from his mathematical model study that the

chemical reaction was approximately of the first order with respect to

both the partial pressure of S02 in equilibrium with the bulk liquid

and the surface area of the limestone.  In view of the com-

plicated equilibrium phenomena involving  multiple phases and chemical

reactions, Potts et al.^  ^, (1971) presented schematically the

interrelationship between gas, liquid and solid for the system

-------
                                                                       22
containing CaO, S02, S03> C02 and H20.  The complex processes of
chemical and diffusional steps, including gas diffusion and solid
dissolution, were explained by Slack et alJ59-', (1972).  Experimental
performance of SO- absorption in limestone slurry in a laminar jet
absorber was studied by Bjerle et al.   , (1972).  It was shown that
the controlling reaction mechanism in the pH range between 8 to 9
was the irreversible and instantaneous reaction between total S02
and HCO ~   In addition, it was observed that the SO  absorption
       O                                            ^
rates were practically equal for different scrubbing solutions
including 0.1 M HCO   with pH of 8.3 and 0.1 M NaOH.  However,
Vivian1-  •", (1973) conducted an experiment in a short wet wall
column revealing that the chemical reaction was governed by the
irreversible and instantaneous reaction between SO- and the hydroxyl
ion forming bisulfite and sulfite ions.  The liquid employed in his
experiment was lime  slurry with pH ranging from 12 to 13.  Deducing
from the mathematical model analysis, McMichael et al.    *,  (1975)
recently concluded  that  the absorbed  SO- in form of H-SO  reacts
instantaneously and irreversibly with  OH , HCO ~  CaHCO + and MgHCO +
                                            o         3           3
ions as it diffuses  into the liquid phase.  This view was shown to
be, in part, consistent  with previous investigators  (Bjerle, et al.    ,
(1972); Vivian1-   J,  (1973)) and can partially explain the SO-
scrubbing data using limestone slurries.  However, more studies are
necessary to clarify this conclusion.

-------
                                                                          23
2-3.2  Oxidation and Solid Precipitation in the Slurries


     One of the most important factors in optimizing the performance


of S02 scrubbing systems using limestone/lime slurries is control of


the slurry pH  (Borgwardt L10~221 t Epstein t29~38l )   Differences in pH


affect the operation of a limestone/lime scrubber in two ways


(Cheremisinoff and Fellman^25-', (1974)):  (1) Operating at a low pH


decreases the solubility of CaSO , therefore, promotes the formation


of calcium sulfate dihydrate, gypsum, precipitation.  (2) Operating


at a high pH decreases the solubility of CaSO , therefore, promotes


the formation of calcium sulfite precipitation.  Apparently, there


exists an optimum pH at which the precipitation of both sulfate and


sulfite becomes minimum.  However, it should be noted that the solid


precipitation produced by calcium sulfite are soft and delicate and


easily altered mechanically, while the precipitation formed by


gypsum is characterized by hard and stubborn scale.   The scale


seriously hinders the continuous operation of the tower by plugging


the surface of the grid.  The source of gypsum is the oxidation of


calcium sulfite by dissolved oxygen.  This reaction occurs in an

                                                    [221
aqueous solution and is favored at low pH (BorgwardtL   , (1974)).


     Only recently it was realized that subsaturation of calcium


sulfate dihydrate in the scrubbing liquid could be achieved in a


closed system. Although this finding was first reported by ICI  (Imperial


Chemical Industries) in 1935.  The results of Id's experience were

                                                        [221
recently confirmed in pilot tests conducted by Borgwardt1  J,  (1974).


Operation with the scrubbing liquid unsaturated with respect to


dissolved calcium sulfate dihydrate presents an opportunity to reduce

-------
                                                                         24
gypsum scaling.  The subsaturation mode is achieved by the precipi-



tation of calcium sulfate occluded by the precipitant of calcium



sulfite.  A solid solution formed by this mode is being identified.


          F92l
(Borgwardt1*"  ', (1974)).  It is also found that the quantity of



calcium sulfate that can be occluded is directly related to the



sulfate activity in the scrubbing liquid and the sulfite precipita-



tion rate.  Experimental data also show that O£  ion has the effect



of suppressing the sulfate activity while Mg   ion could raise its



activity.  Fly ash was found to have no significant effect on the



operations of SO  scrubbing using limestone/lime slurries.

-------
                                                                         25
                             Chapter 3




  Mathematical Model for SO  Absorption in Spray and TCA Scrubbers







3.1  Introduction




     Among the wet processes using limestone slurries in scrubbing




SO- from flue gases, two of the most promising scrubbers for




carrying out the limestone scrubbing appear to be the turbulent




contacting absorber (TCA) and the spray column.  Several large




scale scrubber-holding tank recycle systems have been built and




sponsored by the EPA to test the performance and reliability of




these scrubbers.




     In this chapter experimental data from the large scale TCA




scrubber and spray column located at the TVA Shawnee power station




and the EPA TCA scrubber at Research Triangle Park,  North Carolina,




are analyzed to obtain equations and correlations which can be




used to design and scale-up spray column and TCA scrubbers which




utilize limestone slurries to scrub SO- from flue gases.




     In subsequent sections a mathematical model is  developed which




describes the absorption of S0_ by limestone slurries in a scrubber;




parameters appearing in this model are evaluated from experimental




data and correlated in terms of the operating parameters; and the




experimentally observed S0_ removal efficiency is compared to the




efficiency computed from the model.






3.2  Mathematical Models of Spray and TCA Scrubbers




     In the analysis and design of contacting devices used for the

-------
                                                                  26
scrubbing of S02 from flue gas with limestone slurries the mass




transfer coefficients which describe the S02 fluxes in the gas




and liquid phases should be known.  The gas film mass transfer




coefficients for physical absorption are relatively easily obtained




from experimental data; on the other hand, the liquid film coeffi-




cient for physical absorption is difficult to determine due to




chemical reactions (such as dissociation) which will occur upon




the absorption of a gas molecule into a liquid phase.  In the




present case, where the mechanism of the absorption of SO  into




limestone slurry is not well understood, it does not appear possible,




at the present time, to determine the liquid side mass transfer




coefficient  for physical absorption for large scale scrubbers from




experimental data on scrubbing SCL from flue gases with limestone




slurries.




     In this section a mathematical model for the spray column and TCA




scrubbers is developed.  Gas  side mass transfer coefficients which have




been previously reported in the  literature  or obtained from experi-




mental data  in this study  are presented for each column.  The  liquid




film resistance to the transfer  of SO- into limestone slurries,




determined from experimental  data, is correlated in terms of the




ratio of the gas and  liquid film resistances.  This ratio of the




resistances  appears to be  only a function of the magnesium concentra-




tion, pH of  the slurry,  SO- partial pressure in the  gas phase  and




type of scrubber within  the accuracy  of  the experimental  data.

-------
                                                                       27
3.2.1  Scrubber Model




     Scale drawings of the scrubbers to be considered in this study




are given in Figures 3.1, 3.2 and 3.3.  In the TVA Shawnee TCA




scrubber, as shown in Figure 3.1, the scrubbing slurry is sprayed




from a single arrangement of nozzles at the top of the column and




falls through a series of grids and areas filled with "ping pong"




balls.  Actually the TCA has also  been operated without the spherical




packing pieces and in this situation the column is refered to as




the "TCA without packing spheres".  Flue gas containing SCL in




concentrations up to 4500 ppm passes counter-currently to the




limestone slurry.  The spray column with four spray headers shown




in Figure 3.2 is slightly more complicated than the TCA without




spheres in that the scrubbing slurry is sprayed at four levels.




However, as will be shown later,  this situation is easily handled




and the column can be described mathematically in terms of the




mass transfer coefficients for the TCA without packing spheres.




In Figure 3.3 a scale drawing of the EPA/RTP TCA scrubber is given.




     The TVA Shawnee TCA and spray column treat flue gas at a rate




equivalent to a 50 MW power station and have cross-sections which




are square (5 ft. edge) and circular (8 ft.  dia.), respectively.




The EPA/RTP is approximately 9 inches in diameter.




     For the TCA operating with packing spheres, the column is




divided into packed and unpacked sections; and mass transfer coeffi-




cients are used to describe the respective sections.




     The molar flux of S02 across the gas-liquid interface of a packed




or unpacked section of a wet scrubber can be written in terms of the

-------
                                                            28
                           GAS  OUT
         CHEVRON
INLET  KOCH
TRAY WASH
LIQUOR
\\^^\\
w|-
,r
\
STEAM
SPARGE
TAINING — <
?IDS
1 M b
1 IN *
V V/ V 1
<
I
Li ^ r- r-r-i i ICTMT
L TRAY WASh
A A A
~°~o~o~o~
°°oo0
0 00
_^ 	
\po°o
o\o oo
O O O p.
ooo°*
°0°0°0§
\, /

^ LIQUOR
INLET
SLURRY
- K/I r^ m i c~ P A r^ k" i M r*,
\v\ {j t3 1 Lt r A Lx r\ 1 1 N O
SPHERES
200 c m
APPROX. SCALE
                        EFFLUENT   SLURRY
     Figure 3.1  Schematic of TVA Shawnee Three-Bed TCA (Epstein'-37^).

-------
       CHEVRON
       DEMI STEP
      GAS  IN
                      GAS OUT
                       A   A  A
                       A  A  A
                       A   A  A
                       \/  \/  V
                              X
^
                                                29
     DEMISTER  WASH

     DEMISTER  WASH
                                 NLET  SLURRY
      EFFLUENT
      SLURRY

      200 cm
      >       t
      APPROX. SCALE
                 EFFLUENT  SLURRY
1-iKure 3.2 Schematic of TVA Shawnee Spray Tower (Epstein *  )

-------
                                                    30
                  GAS OUT
     GAS  IN
                        ( TO DEMISTER )
A
oo°"
oog
00°
00
°00
^o
o
oo
00
"o"o"
OOo
080
00
OQO
88°
08°
°2*
o'oo
8|
oo
o°o
So
_p 	
L A
•\














^




                               INLET SLURRY
                               MOBILE PACKING

                                    SPHERES
                               RETAINING

                                 GRID
     Y
EFFLUENT  SLURRY
                                   50 cm
                                  APPROX. SCALE
Figure 3.3  Schematic of the EPA/RTP Research TCA Scrubber (Borgwardt

-------
                                                                         31
gas or  liquid  side  resistance  as






      S02    g   S02     S02     L    Ai     A}




where k°    is  the liquid film  mass  transfer  coefficient for physical



            absorption,  (cm/sec),



      k     is  the gas  side mass transfer  coefficient  for physical
        o
                               2
            absorption,  (gmol/cm atm sec),



      N<,_   is  moles of S0? absorbed per unit  time  per unit  interfacial



            area,  (gmol/cm sec),



      , takes into account the  reaction  of the



diffusing H-SO  with components found in the  liquid phase.



     The concentration of H2SO  at  the gas-liquid  interface,  CAi, can



be related  to the partial pressure  of S09  at  the interface,  Pcr,*, by
                                        "                     OvJ A


Henry's law




        P^" — HP                                             f^-7T
      nr*.  ~ flVj. •                                           IO —^J
      S02     Ai



                                            3

where H is  the Henry's  law constant, (atm  cm  /gmol).



This equation holds for  sufficiently dilute solutions.

-------
                                                                       32
     The Henry's law constant, H, as a function of temperature has



been given by VivianL   , (1973) as
     In H = 17.360 -                                      (3-3)




where T is the liquid temperature in degrees Kelvin.



     An expression for the interfacial concentration of ^SO^,



can be obtained by substituting Equation  (3-2) into (3-1).





                     kL

     p  i   kgPSO? + H~ * PSO*

     P    ~                   -                            (3-4)
                     k°
               k   +    L  ,
                g    „-  +



where Pcn*  is  the  partial pressure  of SO- which could be maintained  in
       oU~                               <£


            equilibrium with  the  bulk liquid phase,  (atm) .



Substitution of this equation  into  Equation  (3-1) gives
  .   Nso2a  (*'   ""so.,  -  V                      (3-5>



     The  rate of SO- absorption  in a differential  height  of the  scrubber ,


 dz,  can be written as





     -G    ^2     1      H  ~*            *

                                (P
      P     d         a   W°      SO_ '   SO                  -
       1             g      L        c.      f.

                                      *

      In  Equation (3-6)  both § and P    are functions of position in



 the  column and both depend on the mechanism of SCL absorption  into



 recycled limestone slurries.   For a calcium carbonate,  calcium sulfite,



 carbon dioxide, sulfur dioxide and water system at equilibrium and a



 pH greater than 4.7, the equilibrium SO- partial pressure of the



 aqueous  system will usually be much less than the S0_ partial  pressure

-------
                                                                       33
                                       *                       *
 found  in  the  flue gas  (i.e.,  P   »P    for pH>4.7).   Thus P    can
                               oU_   oU_                      oU_


 be  ignored  relative to P    in Equation  (3-6)  to give

                         b(J
                           2




      -G   dPs°2      1       H
      P     dz    ~     a    $k°l   PSCL                        (3"7)
      T             g    T  L        2



      Equation  (3-7)  can  be integrated  over  the  height of the column



section  (from  Z  to  Z  )  to give

               1      H   ~
where Kra =  (r — + TjT and K,,a are the "average" enhancement factor  and  the  "average*
             u


                overall mass transfer coefficient, respectively.



 and  AZ = Z? - Z-.



     Large values of the enhancement factor, <(>, correspond  to the gas



film being the dominating resistance to the transfer  of S0_;  and



small values of the enhancement factor indicate that  the  liquid film



resistance is important.  If the gas and liquid film  mass transfer



coefficients for physical absorption can be calculated, it  is



possible to separate the liquid film mass transfer coefficient, k a,
                                                                  lj


into a chemical reaction term  (i.e., the enhancement  factor,  ^,)and

-------
                                                                        34
the liquid film mass transfer coefficient for physical absorption, k°a.



     However, for the Shawnee and EPA scrubbers being analyzed in this



study, it does not appear possible to calculate the liquid film mass



transfer coefficients for physical absorption from the data reported.



Thus, the separation of the liquid film mass transfer coefficient into



chemical reaction and mass transfer effects cannot be made at this



time.  It is obvious that such a separation is desirable since it



may result in a simplification of the data and lead to a general



mathematical model for various scrubbers.



     The second equation of Equation (3-9) can be arranged to give
     R = rjr- = 	2	                                  (3-10)
         Hk a  ,   -—                                  v    '
           g    kga-KGa
The overall coefficient, K_a, can be calculated from experimental



data using the  first  equation of Equation  (3-9).  The gas film



mass transfer coefficient, k a, can be calculated by methods to be
                            o


discussed below.



     The left hand  side of Equation  (3-10)  (or the definition of R)



can be interpreted  as the ratio of the gas  film resistance to mass



transfer and the  liquid film resistance.  The larger this ratio the



more the SO  transfer in the column  is controlled by the gas film.



As will be shown  below the ratio of resistances appears to be an



effective method  of correlating liquid film resistances.





3.2.2  Mass Transfer  Coefficients



     The gas side mass transfer coefficient for physical absorption  in

-------
                                                                         35
the Shawnee TCA operating without packing spheres has been reported by
Epstein    •* as
     kSa = 0.00134 G°'8 L°'4                               (3-11)
where a is the interfacial area available to mass transfer per unit


                                 2   3
        volume of the column, (cm /cm ),


                                            2
      G is the molar gas flow rate, (gmol/cm sec),


                                                        2
 and  L is the mass flow rate of the liquid phase, (g/cm sec).



This correlation is based on experiments on SO- absorption into sodium



carbonate solutions which had pH's in the range from 6.75 to 9.5.



At these high pH's the transfer of S0_ into these solutions can be



assumed to be gas film controlled. (Epstein    ,  1973)



     The gas film mass transfer coefficient for the Shawnee TCA



operating without packing spheres can also be applied to the Shawnee


                      [381
spray column.  Epstein1  J has reported data for a limestone deple-



tion run in the Shawnee spray column in which the initial pH of the



scrubbing slurry was 7.30.  The Shawnee spray column with 4 spray



headers can be divided into 4 sections.   The top section of the



column has a liquid flow rate of 1/4 L,  the next a liquid flow rate



of 1/2 L and so on until in the bottom and fourth section the liquid



flow rate is equal to L.  Assuming the same liquid flow rate


                   0 4
dependence (i.e., L "  ) in the Shawnee spray column as in the Shawnee



TCA without spheres, Equation (3-9)  can  be written as

-------
                                                                        36
                           4   .  .4
                = k a(G,L) Z  (i)  ^.                     (3-12)
                   fir      .     4    i
                          i= 1


where Z  is the length of the i— section and m and C^ are constants.


Using Epstein's limestone data at a pH of 7.30 and the above equation,


the gas film coefficient for the Shawnee spray column is calculated


to be k a = 1.65 x 10"  gmole/cm atm sec at a gas flow rate of
       6
                    2                                              2
G = 0.00548 gmole/cm sec and a total liquid rate of L = 0.652 g /cm sec.


The gas film coefficient calculated using Epstein's correlation


(Equation 3-11)) would give k a = 1.75 x 10   gmole/cm atm sec at the
                             O

same flow conditions.  It can be seen that Epstein's correlation for


the gas film coefficient in the Shawnee TCA operating without packing


spheres can predict the gas film coefficient for the Shawnee spray


very accurately; and in the absence  of more data it is assumed that


the gas film coefficient for both the Shawnee spray column 'and the


TCA without packing spheres can be given by Epstein's correlation


(Equation 3-11)).


     The ratio  of  the mass  transfer  resistance of the gas film  to


that of the liquid film can be calculated for the Shawnee TCA


without packing spheres and the  Shawnee spray column with 4  spray


headers from the data of  Epstein    *   •".  The values of R obtained


for these scrubbers are shown  in Figure 3.4 as a function of the


inlet pH.  The  range of operating  conditions  for the data shown in


Figure 3.4 are  given in Table  3.1.

-------
                                                      37
  i/)
 or
1.0

0.9

0.8

0.7


0.6


0.5
     0.4
     0.3
     0.2 -
                 i
             Rff'ERENCES AND RANGES OF
             DATA GIVEN IN TABLE 3.1
                          TVA SHAWNEE DATA
                           • SPRAY COLUMN -  "
                             4 HEADERS
                           A TCA WITHOUT
                             PACKING SPHERES
                           • TCA WITHOUT
                             PACKING  SPHERES!
                             . WITH   A p
                             CORRECTION
       5.0
                    6.0
7.0
                             PH
Figure 3.4  Ratio of the Mass Transfer Resistances for Spray Devices,  Rs
         as a function of the pH of the Scrubbing Slurry at the Inlet
         of the Scrubber.

-------
                                      Table 3.1

Range of Data for the Shawnee Spray Column and TCA Operating Without Packing
                    Spheres Used in Constructing Figure 3.4
Equipment
and References
Spray Column
4 spray
headers [38]
TCA without
Packing
spheres "• *
pH
5.30
to
7.30
5.85
to
6.4
G
,gmole ^
1 2 J
cm sec

0.00548

0.00687
to
0.01378
L
( g 1
( 2 >
cm sec

0.652

0.886
to
2.86
Inlet
Slurry
Temperature
i
97 to 113


58 to 119

Inlet
Pso2
(ppm)
1750
to
3187
1850
tp
3300
Mg
Concentration
An /•• u n^ in slurry
AP (in. H20) (ppm)
not less
reported than
350
1.0 less
to than
5.8 350
                                                                                                      00

-------
                                                                        39
     For some of the data used in Figure 3.4 very high pressure  drops



along the length of the column with respect to the pressure drop which



would normally be expected at the same gas and liquid flow rates were



observed.  This high pressure drop was probably due to scaling and



its effect on increasing the liquid hold-up in the scrubber.  Also



at these high pressure drops a higher than normal SCL absorption



efficiency has observed.  It was found that the high pressure drop



data could be made to agree with the normal pressure drop data in



Figure 3.4 if the gas film mass transfer coefficient was given by




     kSa - 0.00134 G°'8 L0'4' (f£-)°'4                    (3-13)

                                N




where AP is the pressure drop without scaling of the column,



         (in. H20),



 and  AP is the observed pressure drop, (in.H-O).



This equation is exactly the same as Epstein's correlation (Equation



(3-11)) for the gas film coefficient for the spray column except  it



includes the pressure drop correction.



     The pressure drop without scaling, AP , can be correlatedL   J



in terms of the gas and liquid flow rates as




     APXT = 0.481 L°'6 G1'17 ZT                                (3-14)
       N                     l



where Z  is the total height of the spray section, (cm).



     The ratio of mass transfer resistances, R, was correlated in terms

-------
                                                                        40
of inlet slurry pH for several reasons:


     1) The inlet slurry pH was readily available.


     2) The amount of SO  absorbed per liter of slurry is relatively


small and the slurry residence time fairly short and therefore,  the


average condition of the slurry in the scrubber could be reflected


in its initial pH.


     3) The inlet pH was used because this pH is more easily determined


in a recycle system than the pH of the outlet slurry from the scrubber.


In a recycle system with fairly large holding tank residence times the


liquid phase will approach equilibrium and under this condition the


composition of the liquid is fixed at a given pH, temperature and


partial pressure of C0_ above the holding tank.  Many species in


limestone slurries are insensitive to the C0_ partial pressure and


very sensitive to the pH.


     The effect of SO- partial pressure on the scrubbing efficiency


of limestone slurry has been recognized by Gleason^  ••,  (1971] and

              [541
Nannen et al.     ,  (1974).  These authors have noted that as the


partial pressure of S02 in the flue gas decreases the S0» transfer


becomes more gas film controlled.  In accordance with this observa-


tion the ratio of the mass transfer resistance of the gas film to


that of the  liquid film should increase with a decrease  in S0_ partial


pressure in the flue gas.  For the spray type devices discussed above,


the dependence of R on the S0_ partial pressure  could not be


distinguished above the scatter of the data; nor could a dependence


of R on the hydrodynamics be  established for the spray devices.


     The scatter  in the data  in Figure 3.4  could be due  in part to the

-------
                                                                       41
fact that the raw data used to calculate the ratio of resistances, R,




was reported in ranges and the average of the reported ranges was used




to calculate the value of R.




     In Figure 3.4 it can be seen that the extrapolation of the




straight line through the data points to a value of R /(R +1) equal




to one given a pH of 7.2 as the pH above which the S0_ absorption




is gas film controlled.  This is in agreement with the assumption




that the S0_ absorption was gas film controlled at a pH of 7.3 in the




case of the limestone depletion run for the Shawnee spray column.




     For the TCA operation with packing spheres the column must be




divided into two sections:  one corresponding to the section filled




with packing spheres, and another where there are no packing spheres




and the column behaves much like a spray device.  This situation is




illustrated in Figure 3.5.  The reason for this separation is that




the packed and spray sections will have significantly different




contacting mechanisms and consequently different mass transfer




coefficients.  Also this separation is desirable so that columns




with different packing heights can be compared.




     An actual TCA scrubber can be made up of several stages such as




the one shown in Figure 3.5.   In the development to follow it will be




assumed that the overall gas side mass transfer coefficients for the




spray sections and the packed sections are constant regardless of the




position of the section in the column and that the height of the




packed section in the fluidized state can be characterized by the




height of the packed section without gas flow.  Chen and Douglas'-  \

-------
                                               42
  EXPANDED
  PACKING!
  HEIGHT  l
                  GRID
                    \
                       LIQUOR
                      I FLOW
                  PACK: KG
                  SPHERES
                  GRID
                      I
                                   ^HEIGHT  OF
                                    SPRAY  SECTION
=UN-EXPANDED
 HEIGHT  OF  PACKED
" SECTION
                GAS FLOW
Figure 3.5 An Idealized Stage of a Turbulent Contacting Absorber.

-------
                                                                        43
 (1968) have reported bed expansion for TCA scrubbers; however, their

 data was taken for gas velocities substantially lower than the gas

 velocities of interest in this study.

     The integrated mass balance on SO  in the TCA scrubber can be

 written as
            in
     r      SQ      P        s
     PI ln TUT = V ZP + V zs                         (3
            so2
      _ P  _ s
where K~a, K~a are the overall gas side mass transfer coefficients in
       u
               the packed and spray sections of the TCA, respectively,

               (gmol/cm atm sec),

 and Z  and Z  are total height of the packed and spray sections of the

               TCA scrubber, respectively,  (cm) .

In terms of the ratio of the mass transfer resistance of the gas film

to that of the liquid film, Equation (3-15) can be written as



           P in
            S0           R          s    Rs
                              Zp * kg. (      Zs          (3-16)
This follows from Equation (3-10) .

     Equation (3-16) will be applied to the data reported by Borgwardt

(see Table 3.2 for references).   These data were obtained from a

relatively small TCA scrubber which is shown in Figure 3.3  Only data

where the pH of the inlet scrubbing slurry is greater than or equal

to 6.6 were considered.  At this pH the transfer of S02 in the packed

section is assumed to be gas film controlled.  Examination of Figure

-------
                                         Table 3.2

Range of Data for the EPA/RTP Research TCA Scrubber Used in the estimation of the Gas Side
            Mass Transfer Coefficient for the Packed Section of the TCA Scrubber.

Equipment
and References
EPA/RTP Research

TCA Scrubber

pH
6.6
to
6.8
G
, gmole .,
( 2 J
cm sec
0.00577
to
0.01355
L
( g 1
( 2 J
cm sec
1.373
to
3.150

Z
P
(cm)

50.8

Inlet
"so,
(ppm)
~2520



Mg
Concentration
(ppm)
less
than
350

-------
                                                                    45
3.4 shows that this is not the case for the spray section at a pH of


6.6, however, the value of the liquid film mass transfer coefficient


in the packed section will be much higher than in the spray section;


and thus, the ratio of resistances in the packed section will, in all


likelihood, be significantly larger than in the spray section.


     Under the above assumption Equation (3-16) becomes



           pin
            SO                   R
                   P  Z  + ksa CT^~) Z                   (3-17)
     PT    p°«t    g   P    g

            S0
              2
Thus using Borgwardt's data for pH - 6.6, the gas film mass transfer


coefficient for physical absorption, k a, can be computed from
                                      o

Equation (3-17) .   This coefficient as a function of the gas and


liquid flow rates is given by



     kPa = 0.0352 G L0'35                                 (3-18)
      o

The "range of data from which this coefficient was obtained is given


in Table 3.2.   It was assumed in the above calculation that the gas


film mass transfer coefficient for the Shawnee spray column given


by Epstein (Equation (3-11)) was applicable to the spray section


of Borgwardt's TCA column.


     Epstein has  made several reliability runs for the Shawnee TCA


scrubber.  In these long term tests the pH of the scrubbing slurry,


temperature and the liquid and gas flow rates are held almost constant.


However, the inlet partial pressure of SO- varied.  As can be seen


in the example of Epstein's data given in Figure 3.6, a decrease


in the partial pressure of S0_ causes a corresponding increase in

-------
                                                                            46
Ld
Q-
     IE
     UJ
     CC
90
S5
e o
75
7 0
     E
     Q.
  O,
y o
-7 V/>
     O
     O
         3500
         3000
         2500
         2000
         1 5OO
               O  2O  4O  60  80 1OO120140 160 1 &0 200220 24O

                             TE ST  TIME ,  HOURS
  Figure 3.6  Typical  Operating Data for the TVA Shawnee TCA Showing
                                         Remove
                                         (Epst«
               the  Dependence of -the S02 Removal Efficiency on the
               Inlet SO? Concentration.   (Epstein^  J Run 525-2A).

-------
                                                                          47
the S02 absorption efficiency.  These data can be utilized to  determine


the dependency of the ratio of resistances on the SCL partial  pressure.


The ratio of the resistances is computed for the overall TCA column


with the spray and packed sections un-segregated using Equations


(3-9) and (3-10).  The value of the gas film mass transfer coefficient


for physical absorption, k a, used in Equation (3-10) to calculate
                          &

the overall ratio was calculated from the following relationship:



     overall       Z        Z
     k a     = ka ^ + k a -=?-                            (3-19)
      g         g  Z     g  Z
       s       P
where k a and k a were evaluated from Equations (3-11) and (3-18)
       o       &

                  respectively.


     The results of these calculations are shown in Figure 3.7.  Here


R, the overall ratio of resistances for the Shawnee TCA, is shown as


a function of the inlet S0_ partial pressure.  It can be seen in


this figure that the ratio of the resistances can be expressed as



     R = A(pH) e"33°PS02                                  (3-20)



Equation (3-20) shows that the overall ratio of resistances is the


product of a pH function and a function of the S02 partial pressure.


The exponential term in Equation (3-20) follows from Figure 3.7 and


the pre- exponential pH function has been assumed; although, it is


not apparent in Figure 3.7 that the function A is a function of pH.


This relationship will be shown below.


     In what is to follow it will be assumed that the ratio of the


mass transfer resistances of the gas film to that of the liquid film


has the form of Equation (3-20) for both the spray and packed

-------
                                                                48
ICE
1.0-

0.9

0.8

0.7


 06


 0.5
   0.4
    03
      1.5
                                                   IN
            CD
                        n
          SHAWNEE TCA DATA( 31.32)
            6 = 0.0094  gmd/cn£sec
            L = 2.835  9 /cm2sec
            INLET PH OF  SLURRY
               o  5.60    •   5.75
               A  5.65    A   5.80
               n  5.70   •   5.85
                 I
                         I
I
                       2.5
         3.5
4.5
                                 , atm
     Figure 3.7  The Ratio of the Gas  Film to the Liquid Film Mass  Transfer
               Resistance as a Function of the Inlet S02 Partial  Pressure
               for the TVA Shawnee TCA.

-------
                                                                         49
sections of the TCA.  For the Shawnee TCA operating without packing


spheres and the spray column with four spray headers the pH function,


A, is shown as a function of pH in Figure 3.8.


     A new value of the gas film mass transfer coefficient for physical

                                               p
absorption for the packed section of the TCA, k a, can be calculated
                                               o

based on the A function for the spray section given in Figure 3.8.


The following equation can be used to calculate the gas film

                                     p
coefficient for the packed section, k a
                                     g

             -! »^
           P

     f- m ^- = k> Z.. + k>  	±	  Z_           (3-21)
      T
so2
out
SO.
2

- V a 7 + VSa
— KdZj ^K.3
g P g


1
330Pso7
2
1+ A (pH)
i_— ^ ^
7
Zs


Again Borgwardt's data (see Table 3.2 for references) for the scrubbing


of SCL with limestone slurries having a pH greater than or equal to

                                                               p
6.6 can be used in conjunction with Equation (3-21) to obtain k a.
                                                               o

This coefficient can be expressed as a'function of the liquid and


gas flow rate as:



     kPa = 0.00220 G'47 I/51                              (3-22)
      g


Since a new value of the gas film mass transfer coefficient has been


found, the functional dependence of the ratio of resistances on the


SO  partial pressure should be re-evaluated in a manner similar to


that used to obtain the data in Figure 3.7.  However, if R is

                               p
recomputed using the value of k a given by Equation (3-22) the slope
                               o

of the line through the plot of log R versus SO  partial pressure is

-------
  2.0
   1.6
   1.2
I/)
  0,8
  0.4
    0
                                                  TVA SHAWNEE  DATA
                                                  •  SPRAY COLUMN -
                                                     4 HEADERS  (  3a )
                                                  A  TCA WITHOUT
                                                     PACKING  SPHERES
                                                     (  37)
                                                                              . PH + 7.«92)-0.15
NOTE » As CAN BE  EXTRAPOLATED
      LINEARLY FROM PH = 6.G  TO
     As =0 AT PH=7.2  ;
      SEE TABLE 3.1 FOR DATA RANGES
                                    I
     5.1
    5.3
5.5
5.7
 5.9
PH
6.1
6.3
6.5
6.7
       Figure 3.8  The Pre-Exponenti al  Function, As,  in the lixpression  for R,  the Ratio of Resistance, as a
                 Function of the pi I  of the Inlet Slurry for  the TVA Shawnee  TCA Without Spheres and Spray
                 Column.  Low Magnesium Concentration (Mg <  350 ppm).

-------
                                                                       51
approximately the same as that given in Figure 3.7 where R was computed

          p
based on k a given by Equation (3-18).  The magnitude of the two
          &

values of R are slightly different however.


     The pre-exponential pH function, A, for the packed section of


the TCA scrubber can be determined from the data reported by


Borgwardt and Epstein (references are given in Table 3.3) using the


following equation:
                                                          (3-23)
p in
G , S°2
PT ln pout -
S°2
kPa
330pso2
i , e
1 A
L P J
z +
p
r ksa
g
330Pso2
e
' A
s _
The gas film mass transfer coefficients for the packed section, k a,
                                                                 &

and the spray section, k a, of the TCA can be determined by Equations
                        £»

(3-22) and (3-11) respectively.  Other quantities appearing in


Equation (3-23) are evaluated from the experimental data.


     The pre-exponential function for the packed section, A , is


shown in Figure 3.9.  Although there is a substantial degree of


scatter, the trend of A  as a function of the slurry pH can be seen.


Apparently, within the scatter of the data the function A  is not


dependent on the gas and liquid flow rates.  The scatter in Figure


3.9 is probably due in part to using the average value of data,


which is reported in ranges,  as well as to the normal experimental


error associated with data taken from large scale equipment where


operating conditions and purity of reagents cannot be carefully


controlled.  Also in the recycle scrubber-holding tank systems small


impurities introduced into the system, such as chlorine, which

-------
                                              Table 3.3

Range of Data for the TVA Shawnee TCA and EPA In-House TCA Used in Determining Ap   in Figure  3.9,
                           fgmple -,    ,  g   .   Inlet Slurry   Inlet PSO     Total Height of
  Equipment                 rm2c^p       2       Temperature     (atml   2    Packing Spheres
and References       pH                cm sec       (°F)         x 103             (cm)
TVA Shawnee TCA
[29,30,31]
Epstein 32,36,37]
EPA In-House TCA

Borgwardtt12'13'18]
5.2
to
6.3
6.6
to
6.8
0.00692
to
0.01256
0.00577
to
0.01355
1.382
to
2.835
1.373
to
3.15
78
to
127

110

1.775
to
4.4


2.52
38.1


50.8
to
76.2
                                                                                                            en

-------
a.
1.2

0.8
0.4
0.0
c
1 1 '
RANGE OF DATA AND OPERATING
CONDITION GIVEN IN TABLE 3.3
• TVA SHAWNEE TCA
A EPA IN-HOUSE TCA
• * t*e*** f
i i i
).1. 5.3 5.5 5.7

1 I I I
^ 1 Isl
-330D
Ap=-0. 51 7PH+3.41 :FOR PHi6.0
A-l _
Ap=0.308 ; FOR PH<6.0
• ^ •
5.9 6.1 6.3 6.5 6.7
PH
 Figure  3.9   The  Pre-Exponential  Function,  Ap,  in  the  Expression  for R,  the Ratio of Resistances, as
             a  Function  of the  pH of the  Inlet  Slurry  for the  Packed Section of TVA TCA and EPA TCA.
             Low  Magnesium Concentration  (Mg  <  350 ppm).
                                                                                                            (si

-------
                                                                         54
originates from the coal and is absorbed in the scrubber, have a



tendency to build to very high concentration levels thus making a



complete analysis of the scrubbing system extremely difficult.





3.2.3  Effect of Magnesium on S02 Scrubbing Efficiency




     The addition of magnesium oxide to the scrubbing slurry has two



major benefits to the operation of limestone wet scrubbers:  1) the



addition of magnesium can allow the scrubbing system to operate in



the unsaturated mode which prevents calcium sulfate scale formation


               [221
(see Borgwardt    ) and 2) the addition of magnesium improves



scrubbing efficiency of the system.



     Since the composition of the slurry effects the scrubbing



efficiency of the scrubber only through the pre-exponential terms,



A  and A  , in the expression for R  and R   (see Equation  (3-20)),



it was assumed that the effect of magnesium in the slurry on the



scrubbing efficiency could be associated with a change in the pre-



exponential factors, A  and A .  Thus correction factors, A  and A  ,



which would take into account the effect of magnesium on the pre-



exponential functions, A  and A  , respectively, were defined as




          A.  (without magnesium present)


      i    A^  (with magnesium present)C3-24)




where i = s or p for the  spray and packed  section, respectively.



These correction factors  to the  pre-exponential term for  spray  and



packed section are given  in Figures 3.10 and 3.11, respectively.



The value of the pre-exponential factors without magnesium, A  and
                                                              o


A  , used  in Equation  (3-24) were calculated using  the solid lines

-------
1.0
1
1 I I I 1 1 | 1 1
i I i I i i I | I I i i i i i



x
I I I 1 1 1 I 1

1 \
- RS = ( AP/AS) expc-sso PSO,) ^iv4 -
--

As = SO.lMg ' ;FOR
As = 1.0 > FOR Mg<:3
Mg2350 X,
50 ^s
A EPA/RTP TCA WITHOUT PACKING SPHERES
( SEE TABLE 3.4 FOR DATA RANGES AND REFERENCES)
	 CZD TVA SHAWNEE DATA? SPRAY COLUMN- 4 HEADERS AND
- TCA WITHOUT PACKING SPHERES ( SEE TABLE 3.1 FOR
DATA RANGES AND REFERENCES)
—
I


I I I I 1 1 I 1 1
10

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
102 103
—
< :
\r. "
A A ^XA"^
A_
1 1 1 1 1 1 1 1
1C
0.1 —
                                                 Mg ,   ppm
             Figure 3.10  The Effect of Magnesium in the Scrubbing Slurry on tho Ratio of the Gas to Liquid Mass
                         Transfer  Resistances in the Spray  Section.

-------
                                                                  56
             I     i   |  i  i  i  i i
                            I    I    I  I  I  I I I
                           A   •
   0.5
 a.
3600
           Ap = 1.0 ; FOR  Mg-c3600
   • TVA SHAWNEE TCA


   A E PA /RTF TCA

   ( SEE TABLE 3.3 AND 3.4 FOR  DATA
    RANGE  AND  REFERENCES  )
             J	I   I   I  I I  II

                            J	i	I  ' I I  M
1O
        2
                              10
                              M
                                             104
                          ppm
     Figure 3.11  The effect of the Magnesium in the Scrubbing Slurry on the
                Ratio of the Gas to Liquid Mass Transfer Resistances in the
                Packed Section.

-------
                                            Table 5.4
Range of Scrubber Operating Data Used in Calculating the Effect of Magnesium on the
                                 Pre-Exponential Factor, A.

Equipment
and References
EPA/RTP Research
TCA Operating
without Packing
c . [15,16,20]
Spheres1 ' J
TVA Shawnee
TCA[33,34,35]
EPA/RTP Research
Tin 11 i e. IT

PH
5.3

to
6.4
5.6
to

6.1
G
,-gmole A
1 2 J
cm sec
0.0094

to
0.0107
0.0094
to

0.0107
L
C g )
cm sec
1.535

to
3.320
2.835
to

3.320
Inlet
Slurry
Temperature


125

116
to

126
Inlet
(ppm)
2520

to
2880
1900
to

3100
Height
of
Packing
(cm)


none

38.1
to

76.2

Magnesium
Concentration
(ppm)
470

to
16,700
450
to

15,000
 TCA

-------
                                                                        58
through the data points of Figures 3.8 and 3.9 respectively.   Examina-




tion of Figures 3.10 and 3.11 reveals that the interphase transfer




of SO  from the gas to the scrubbing slurries becomes gas film con-




trolled at high magnesium concentration.






3.3  Simulation of SO- Scrubbing With Limestone and Lime Slurries





     Table 3.5 summarizes the correlations which can be used to




simulate the performance of the TCA and spray column in scrubbing




SO- from flue gases with limestone slurries.   Based on these




correlations and the model presented in this  study the SO- removal




efficiencies of the TVA Shawnee TCA and spray column and the EPA/




RTP TCA column can be computed fairly accurately and in most cases




within 5% accuracy.  A comparison of the calculated and observed




S0_ removal efficiencies is shown in Figures  3.12 and 3.13 for the




spray and TCA devices, respectively, for limestone scrubbing of



SO  from flue gases.




     Figure 3.14 shows a comparison of the calculated and observed




S02 removal efficiencies for S0_ scrubbing with lime slurries.




In the case of  lime slurries the pH variation across the scrubber




is substantial ranging, for example, from 8.0 at the inlet to 4.8




at the outlet.  With this  large change in pH it is not reasonable




to assume that the inlet slurry pH characterizes the slurry composi-




tion.  However, it has been found that the lime scrubbing system




can be simulated fairly accurately by the model developed in this




study if the characteristic  slurry pH is calculated based on the




log mean hydrogen ion  concentration:

-------
                                                                    59
                             Table 3.5

Summary of Equations Necessary for Simulating the Performance of the
       TVA Shawnee TCA and Spray Column and the EPA In-House TCA
        Spray Section
                                               Packed Section
ka = 0.00134
 o
                   L°'4    (3-11)
      As  -330 P in
               P
 P              47  fl
k a = 0.00220 G    L
 g
      A     _    in
R  .
                           (3-22)
A  given by solid line in
   Figure 3.8 or by Equation
                                      A  given by solid line in
                                       P Figure 3.9 or by Equations
A -  = exp(-l.35 pH+7.82)-0.15
A  given by solid line in
 S Figure 3.10 or by Equations

            -0.6682
A  =50.1 Mg
                  ';  for  Mg>350
A  = 1.0; for Mg<350
A "  =-0.517 pH+3.41;  for pH>6.0

A ~l = 0.308; for pH<6.0

A  given by solid line in
 P Figure 3.11 or by Equations

A  =.2.2 x 107 Mg"2'065; for Mg>3600

A  = 1.0; for Mg<3600
                                          = kgaVa+RP}
P in
G . S°2.
P_, nout
T P
so2

K!5 Z + ife Zn (3-15)
b S bp



-------
  90
  80
 _
UJ
cr


060
CO
h-
z
UJ
U5
U  «
Q_
Q
  40
y
<30
       T
     DATA FOR  LIMESTONE SCRUBBING
     • TV A SHAWNEE  SPRAY COLUMN -
       4  HEADERS ( 38 )
     A TVA  SHAWNEE TCA  WITHOUT
       PACKING  SPHERES ( 37 )

     • EPA/RTP  TCA WITHOUT
       PACKING  SPHERES
       ( 1 5,1 6 . 20 )
  20
    2
                                   5 % ERROR
        1
         1
1
0
30      40      50      60     70
  OBSERVED  PERCENT SO2  REMOVAL
        80
       Figure 3.12 Comparison of the Predicted and Observed S02 Removal
                Efficiencies for Spray-Type Devices Using Limestone Slurry
                as the Scrubbing Medium.
90

-------
                                                               61
  100
LLl
cr

 CM

o
   90
   80
z:
UJ
u

S70
Q_
Q
LLJ
u
O
   60
   50
   40
     40
           DATA FOR LIMESTONE  SCRUBBING

           ( SEE TABLES 3.3 AND 3.4 FOR RANGE

             OF DATA AND  REFERENCES  )



           • TVA  SHAWNEE TCA


           A EPA/ RTF  TCA
                                  r
                                 5% ERROR
                                   1
1
1
               50      6O       70       80       90

                OBSERVED  PERCENT  5O2  REMOVAL
                  100
    Figure 3.13 Comparison of the Predicted and Observed S02 Removal

              Efficiencies for TCA Scrubbers Using Limestone Slurry

              as the Scrubbing Medium.

-------
                                                             62
             DATA  FOR LIME SCRUBBING
             {SEE  TABLE 3.6  FOR RANGE
               OF DATA AND REFERENCES)
              A EPA/ RTF  TCA
                                 5 °/o  ERROR
         40
80
100
                OBSERVED  PERCENT  SO,REMOVAL
Figure 3.14  Comparison of the Predicted and Observed SC>2 Removal
           Efficiencies for TCA Scrubber Using Lime Slurry as the
           Scrubbing Medium.

-------
                                            Table 3.6

Range of Data Used in Constructing Figure  3.14.  Data is for the EPA  In-House TCA Using  Lime
                              Slurries as the Scrubbing Medium
  Equipment
and References
    PH
inlet outlet
   G
,gmole ,
I   2   J
 cm sec
L   2    J
cm sec
   Inlet
  Slurry
Temperature
Inlet
Pso2
(ppm)
                                  Height
                                    of
                                  Packing
                                   (cm)
  Magnesium
Concentration
in  Liquid
  (ppm)
EPA In-House TCA 5.7   4.4
Borgwardt
                 to    to    0.0136

          [19,21] 9.5   6.0
3.15

to

3.8
                                      125
                                                 2430    50.8
              to

              2800
         to

        76.2
   12

   to

 1150
                                                                                                           ON

-------
                                                                      64
                          pH    - pH.
     PH . 0.5,2 * log10 —    -  _                {3.24)
                        10   ln - 10   OUt
     A procedure may be developed by which the pH of the outlet
slurry frora the scrubber nay be calculated from knowledge of the
inlet conditions of the scrubber.  Then,  the model developed in this
study for limestone systems may possibly be used to predict the
scrubbing efficiency of lime systems.  A development of this
procedure is presented in Chapter 5.
     As shown in Figures 5. 12,  5.15 and 3.14, the correlations
summarired in Table 5.5 are capable of predicting fairly accurately
the scrubbing efficiency of S00 scrubbers using limestone slurries
as well as lime slurries.  These correlations can also provide
some insight into the mechanism of S0_ scrubbing.

-------
                                                                           65
                               Chapter 4




                    Mechanism of S02 Absorption In




                           Limestone Slurries






4.1 Introduction




     Considerable discussion of the overall mechanism of 502 absorption




into limestone slurries has appeared in the literature and has been




recently reviewed by Nannen et al.f54!(1974).  Most of the studies




reviewed by these authors were concerned with the overall reaction




by which S02 reacts with limestone (CaC03) to form CaSOs and CaS04-




More detailed studies of the absorption of S02 into alkaline solutions




have been carried out by Bjerle et alt7!(1972) and Viviant65J(1973).




     Bjerle et alt7! experimentally studied the absorption of SO2 into




calcium carbonate slurried with pH's in the range of 8 to 9 in a




laminar jet absorber and found that the S02 absorption in calcium




carbonate slurry was greater than in water due to the instantaneous




reaction between absorbed S02 and the HC03~ ion.  Furthermore Bjerle




et al.I7J observed that the S02 absorption rate into a slurry with a




pH of 8.3 and having HC03" ion concentration of 0.1 Molar was equal to




the S02 absorption rate into a 0.1 Molar NaOH solution.  Vivianf65!




studied the absorption of SO2 into lime slurries with pH's in the range




from 12 ro 13 in a short wetted wall column.  He concluded that the




SO2 absorption was enhanced by the instantaneous reaction between




absorbed SO2 and the hydroxyl ion.  Based on the observations of Bjerle




et all7! and Vivianf65! it can be hypothesized that there would be a




point at which both hydroxyl and bicarbonate ions could have the same

-------
                                                                            66
relative importance in the absorption S02 into a slurry.


4.2 Reaction Mechanism


     By analyzing the correlations presented in the preceding   chapter


possible mechanism for S02 absorption into limestone slurries,  which


is consistant with the observations of Bjerle et al.  J and Vivian1-


be identified. In this development, absorbed S02 as H2S03 is assumed


to react instantaneously and irreversibly with some unknown species


which has concentration of Cg in the bulk liquid phase.


      H2S03 + YB ->• Products                             (4-1)


For this case, the enhancement factor, ((>, for S02 absorption in the


liquid film can be written as (see Hatta^  * (1932)) .
                                                        (4-2)
             YDACAi
where DA and Dg are the molecular diffusivities of H2S03  and  the  unknown


                species B in the liquid phase, respectively,  (cm  /sec) ,


and           y is the stoichiometric factor.


Assuming the diffusivities are equal and the stoichiometric factor is


one, Equation (4-2) becomes



     <  = 1 + ^L_                                        (4-3)
             CAi
Substituting this equation into Equation  (3-10) gives
          o

         k.a        -r-
          L    r,  .  ^R
         Hkga      cAi  J


where the bar over the  concentration  indicates  an  average  concentration.

-------
                                                                        67
     An expression for the concentration at the gas-liquid interface

can be obtained by substituting Equation (4-3) into Equation  (3-1)

and utilizing Henry's law given by Equation (3-2):
where Ps02 ^s an average gas phase SC^ partial pressure.

     Substituting Equation  (4-5) into Equation (4-4) and subsequent

rearrangement gives
     R+l ~ k£a + Hkga    (k[a + Hgg0

Equation (4-6) shows that an estimate of the average concentration

of the unknown species, Cg, can be calculated from the slope of

a linear plot of 1/(R+1) versus I/PSQ->-  In the discussion to follow

the average gas phase SC^ partial pressure was chosen as the arithmetic

average.

     In Figure 4.1 the data reported for the Figure 3.7 for the TVA

Shawnee TCA scrubber has been re-plotted in manner suggested by

Equation (4-6).  The liquid film mass transfer coefficient for physical
            o
absorption kLa calculated from the intercept in Figure 4.1 is 0.0403

sec'1 and the concentration of the unknown species, CB, calculated

from the slope is 0.00053 gmol/liter.

     As shown previously the presence of magnesium in the scrubbing

slurry has a significant effect on the S02 scrubbing efficiency (i.e.,

an increase in magnesium in the limestone slurry increases S02 scrubbing

efficiency above that for limestone alone with both slurries having the

-------
    0.75
    0.70
 in
 in
 cu

 'c
 o
 CD


•i—
•o

 A


I
    0.65
   0.60
   0.55
300
                                                n
OO     Total Mg  <  350 ppm


       5.60 < pH < 5.85



          030
                                               \   \  I   I  I  I   i  I   I  I   I  I  I   I  r

                                                     Operating Conditions and
                                                  references given  in Table 4.1
                                                                            Least  Squares  Fit  of Data
     j  i A  i  i   i
500
                                 700
                                                                                 900
                                             (Fso2'~'>

   Figure 4.1  The Overall Ratio of the Mass Transfer Resistances as a  Function  of the  Arithmetic

               Average of the S02 Partial Pressure in the Bulk Gas Phase Plotted as  Suggested by

               Equation (4-6).  Data from the TVA Shawnee TCA.  Low Magnesium  Concentration  in the
               Limestone Slurry.
1100
                                                                                                               00

-------
                                                                         69
same pH.)  The high magnesium concentration data from the TVA Shawnec


TCA used in the construction of Figure 3.11 is presented in terms of


Equation (4-6) in Figure 4.2.  Calculating the liquid film mass transfer


coefficient in the absence of chemical reaction, kLa, from the intercept


of Figure 4.2 gives a value of 0.0400 sec"1.  It can be seen that the

                       o
agreement between the kLa calculated from the two sets of data (high


and low magnesium concentration) given in Figures 4.1 and 4.2 is


amazing.  The concentration of the unknown species, Cg,  for the high


magnesium case is found (from the slope given in Figure 4.2) to be


0.00145 gmol/liter.


     It is of interest to compare the calculated concentrations of


the unknown specie, Cg, to the selected concentrations predicted from


equilibrium.  The equilibrium calculations for limestone slurries


are based on Radian Corporation  Equilibrium Program and have been


described in detail by Nelson^  •'(1974).   In order to utilize the


equilibrium assumption the CC>2 partial pressure in equilibrium with


slurry and the pH must be specified.


     In the absence of experimental data the C02 partial pressure


in equilibrium with the slurry is assumed to be equal to the flue


gas partial pressure of about 0.12 atm.   The specified pH was chosen


as the inlet slurry pH to the scrubber.


     Table 4.1 gives a comparison of the  calculated value of the


concentration of the unknown species, CB, (i.e.,  concentration of the


species which reacts instantaneously with F^SOj)  and the equilibrium


concentration of the bicarbonate ion.  The agreement between the


two for the case of low magnesium is excellent.  For the high magnesium

-------
            1.0
            0.8
            0.6
            0.4
            0.2
            0.0
               600
4000 < Total Mg < 4500 ppm

5.8 < pH < 6.00
                 700
                                                                       Operating Conditions and
                                                                  references given in Table 4.1
800
900
                                                    atm
                                                       "1
Figure 4.2  The Overall Ratio of Mass Transfer Resistances as a Function of the Arithmetic Average
            of the SC>2 Partial Pressure in the Bulk Gas Phase Plotted as Suggested by Equation (4-6)
            Data from the TVA Shawnee TCA.   High Magnesium Concentration in the Limestone Slurry.

-------
                                              Table 4.1
Comparison Between the Calculated Concentration of the Species Which is Hypothesized to Instantaneously
and Irreversibly React with Absorbed S02 as H2SC>3 in Limestone Slurries and Selected Species Concentra-
                                  tion Predicted from Equilibrium.
      Scrubber Type
TVA Shawnee
TVA Shawnee
TVA Shawnee

l/l
Derating
Condition

Quantities
Calculated
Equation (4-6)
rt
6 O 8)
•H +J .H
f-l «) rH
rH (3 i— 1
•H <0 O
3 o i
o4 c S>
w o ^
u
and References
L(g/cm sec)
2
G(gmol/cm sec)
Total Mg
pH inlet
Figure Number
k°a (sec )
Ju
C (gmole/liter)

CHC03" +
CCaHC03
CMgHCO
CT = EC.
TrA
Epstetnt31'32'
2.835
0.0094
< 350
5.60 to 5.85
4.1
0.0403
0.000532

0.000530
0.000028
0.000015
0.000573
TCA [331
Epstein
2.835
0.0094
4000 to 4500
5.80 to 6.00
4.2
0.0400
0.001450

0.001160
0.000084
0.000258
0.001502
Spray Column
Epstein!-38]
0.652
0.00548
< 350
5.20 to 5.4
4.4
0.00544
0.000140

0.000220
0.000009
0.000005
0.000234

0.652
0.00548
< 350
5.60 to 5.8
4.4
0.00544
0.000430

0.000530
0.000028
0.000014
0.000573

0.652
0.00548
< 350
6.20 to 6.40
4.4
0.00544
0.00188

0.002000
0.000075
0.000043
0.002118

-------
                                                                   72
case value of Cg is considerably higher than the equilibrium bicar-




bonate ion concentration.  However, if the value of Cg is compared




to the sum of the bicarbonate and magnesium bicarbonate ion con-




centrations, good agreement is obtained.  The calcium bicarbonate




ion would be expected to be chemically similar to the magnesium




bicarbonate ion.  Therefore, the concentration Cg is hypothesized




to consist of the sum of four concentrations: (See Appendix B for comments)





      CT = COH- + CHC03- + CMgHCO$ + GCaHC03+         (4~7)



As can be seen from Table 4.1 the agreement between this total concen-




tration, Cy, and the calculated value of Cg is very good.  As defined




by Equation (4-7), C-p is also consistant with the observations of




Bjerle et al.'- •" and Vivian^   .  An idealization of the concentra-




tion profiles in the vicinity of the gas-liquid interface is given




in Figure 4.3.  The parallel, instantaneous irreversible reactions




occurring in the liquid phase would have the form:




     H2S03 + OH"     -»•  H20 + HS03~




     H2S03 + HC03~   ->  H2C03 + HS03"




     H2S03 + MgHC03+ -»•  H2C03 + MgHS03+




     H2S03 + CaHC03+ ->•  H2C03 + CaHS03+




     The data from the TVA Shawnee spray column used in constructing




Figure 3.4 has been re-plotted in Figure 4.4 in the manner suggested




by Equation (4-6).  A comparison between the concentration, Cg,




calculated from this figure and the equilibrium total concentration,




C~, is given in Table 4.1; and it can be seen that two concentrations




are in fair agreement.  One source of error in the agreement could




be that the liquid is sprayed into the spray column at four levels

-------
           OJ
           in
           in
          Q.
           S_
           
           C
           o»
           u
           c
           o
          CJ
                 GASEOUS  PHASE
BULK GAS  I
 PHASE
                                   GAS-LIQUID INTERFACE
                         LIQUID PHASE
BULK LIQUID
   PHASE
                                         'HCO.
                                         CMgHC03+

                                         CCaHC03+
                   Distance Normal to the Gas-Liquid  Interface
Figure 4.3  Idealization of the Concentration Profiles of Species
            Important in the Transfer of S02 Across the  Gas-Liquid
            Interface and the Chemical Reaction in the Liquid Phase.

-------
                                                                       74
0.80

0.75
0.70
0.65
in
in
Q}
c.
c
in
^—
o>
| 0.60
i
cz.
+
0.55

0.50
0.45
/
MM r i i i i | 14 i i i i i i i i i i i i i i i i i _
I " A~A~~ A—— — _^_ -
1 ^\ '-
^^"^a a
— °^n^ri -
D D^"^\^-
— -
-
- \ Least Squares Fit of Data Points
~~ \ ~
— \ -
_ \ Total Mg < 350 ppn
_ \ o o Inlet pH Range
Xntt00 A 5.2 - 5.4 I
— O\ D 5.6 - 5.8 ~
— O\ -
0§^° 0 6.2 - 6.4
: \ :
0 \
0 0 \
	 Operating conditions and _
_ references given in Table 4.1
i i i i 1 i I I I 1 I I i i i 1 I I I 1 I I 1 I 1 I I 1 I
200 300 400 500 600 700 80
                           (PA)"1,  atnf1

Figure 4.4  The Overall  Ratio of Mass Transfer Resistances as a Function
            of the Arithmetic Average of the S02 Partial  Pressure in the
            Bulk Gas Phase Plotted as Suggested by Equation (4-6).   Data
            from the TVA Shawnee Spray Column.  Low Magnesium Concentra-
            tion in the Limestone Slurry.

-------
                                                                        75
rather than all the liquid at the top of the column.   Since both of



the mass transfer coefficients, k°a and k a, will vary with liquid



rate at the various stages of the scrubber, the slopes and inter-



cepts of Figure 4.4 are not strictly correct.



     Another source of disagreement between the concentrations CD
                                                                D


and C  given in Table 4.1 is the assumption of the pH and CO-



partial pressure of the slurry used in the equilibrium calculation



as described above.  The use of the inlet slurry pH and the flue



gas C0_ partial pressure gives only rough estimates of these quan-



tities since the concentration C_ can be viewed as an average
                                D


concentration and it is not known at which position in the scrubber



this concentration applies.

-------
                                                                     76
                             Chapter 5




   Analysis of pH for Lime  Slurry at the  Outlet  of the  Scrubber






5.1  Introduction




     It has been shown in Chapter 3 that  the  mathematical  model,  which




was developed to describe the absorption  of S02  by limestone slurries,




can be used to simulate the lime slurry scrubber fairly accurately if




a characteristic slurry pH  corresponding  to the  log mean hydrogen ion




concentration across the scrubber is utilized in the limestone correla-




tions.   Hence, in order to  be able to estimate the S02  scrubbing




efficiency in the lime system using the correlations developed for




limestone slurries,  both the inlet and  outlet pH of the scrubbing




slurry in the lime system must be known.




     The purpose of this chapter is to  develop a procedure by which




the pH of the outlet slurry from the lime scrubber and  the SC>2 removal




efficiency of the lime scrubber can be  calculated directly from




knowledge of the inlet condition of the slurry to the scrubber and




scrubber operating conditions.  This procedure will make use of the




model developed for the limestone system.




     For the TCA scrubber,  heat transfer  is known to occur very




rapidly (Barile and Meyer^, 1971; Barile et al.t4!, 1974); and




the heat capacity of the liquid phase is  much greater than that of




the gas.  Therefore, the system can be assumed to operate isothermally.




That is the variation in the liquid and gas temperature throughout the




system can be ignored for all practical purposes when the heat of




reaction generated in the system is negligibly small.  Thus, in

-------
                                                                      77
what  is to  follow,  only  the mass balances  in  the  scrubber are  consid-



ered .





5.2   Liquid  Phase Material Balance  for the Scrubber



      The conservation  of sulfur, carbon and calcium in the  liquid  in



the scrubber can be written as:



Sulfur

              i         i         i         i

                                                   = A.        (5-1)
Carbon

              t          i         i           i

     Mm  +  L [Cl •  +  L S   .    L  [Cl    - L S      = A        (5-2)
      •~U2         m      c,in      L  out      c,out    c


Calcium



     L[Ca].   + L Sr   .  -  L' [Ca]      l/S_      = Ar          (5-3)
       L  Jin     Ca,in     L  Jout      Ca,out    Ca            J


where:



     MCQ   is the absorption rate of SC>2 in the scrubber, mgmole/sec,



     M^Q   is the absorption rate of C02 in the scrubber, mgmole/sec,



     [k]•  is the total liquid phase concentration of species k in



           the i—- stream of the scrubber, mgmole/liter,



     S,  .  is  the total concentration of species k as solid in the
      k, i


           i— stream of the scrubber, mgmole/liter,



     A^    is  the accumulation of species k as solid  within the



           scrubber,  mgmole/sec,



 and L     is the liquid flow rate, liter/sec.



when:



     i=in,out  the subscript refers to the inlet and  the outlet stream



               of the scrubber, respectively,



 and k=S,C,Ca  the symbol k refers  to sulfur,  carbon  and calcium,



               respectively.

-------
                                                                       78
     The above equations apply to the steady state operation of the
scrubber system, that is, steady state with respect to the liquid
concentrations.  A rate of scale formation is taken into account
through the use of the accumulation terms, A^.
     Steady liquid concentrations may be inconsistent with the
steady build up of solids in the scrubber system.  For example, it
i? known that the accumulation of scale in the scrubber can cause
an increase in the SC>2 removal which in turn can affect the liquid
compositions.  However, this process normally takes place slowly
and it can be assumed that Equations (5-1) through (5-3) can be
applied at each small interval of time.  This is equivalent to a
quasi-steady state assumption.
     Subtracting Equation (5-3) from the sum of Equations (5-1) and (5-2)
gives
     MS02 + Mco2 = L' Cnout - nin)                             (5-4)
where:
     Vat = tslout + [Clout - tCalout
     nin  = [S]in -  [C]in - [Ca]in
Here the fact that the solid calcium salts have a one to one correspond-
ence of calcium to sulfur or carbon has been used to eliminate the
solid concentrations appearing in Equations  (5-1) through (5-3).  It
can be noted that Equation  (5-4) does not contain any solid composi-
tions.
     In some cases,  solid magnesium salts may also be present  in
the scrubbing slurry.  However, experimental evidence shows that the

-------
                                                                          79
amount  of  solid  magnesium  salts  are  usually  insignificant  in compari-

son with the  amount  of solid  calcium salts in the scrubbing liquid.

Therefore,  consideration of the  magnesium material balance in the

scrubber appears unnecessary.

     A  further simplification of Equation (5-4) is possible if it

is noted that the C07  absorption rate, M™ , can be ignored for

lime slurries.   This follows  from the fact that the magnitude of
the C02 absorption  rate, MCQ  , evaluated from Equation (5-4) is

usually less than 10% of the  S02 absorption rate, MSQ  (Borgwardt I19'21 J ,

1974).  Consequently, Equation (5-4) for the lime system approximately

reduces to
             i
     MS02 = L  (TW - nin)                                    C5'5}

     In utilizing Equation  (5-5) to calculate the scrubbing efficiency

and effluent slurry pH of the lime scrubber, this equation must be

solved simultaneously along with the expressions developed in Chapter

3 for computing the scrubbing efficiency and the rate of S02 absorp-

tion, Mso •  By the methods discussed in Chapter 3, the rate of S02

absorption, MSQ_, in the lime scrubber is determined if the inlet

and outlet slurry pH, inlet S02 partial pressure and operating and

scrubber parameters are specified.  In the operation of a scrubber,

which has no recycle loops, only the inlet slurry pH, inlet S02

partial pressure and operating and scrubber parameters may be

specified.  Therefore, the S02 absorption rate can be calculated

a priori if the outlet slurry pH from the scrubber can be found.

Mathematically this may be expressed as

-------
                                                                         80
          = MQO ^PH  J                                        (5~6)
        7    i>0-> r OUt
     Equations (5-5) and (5-6) give the relationships between the

quantities Mso^, PHout'  r'in and nout '   Therefore> in order to simulate
the scrubber, two more relationships must be established or the
specification of two variables is necessary.  A fortunate circumstance
occurs which makes the establishment of two additional relationships
a simple matter.  The value of n can be related to the pH through
chemical equilibrium.  Thus,
      in
 and nout = E(pHout)                                          (5-8)
In these equations the symbol E is an operator which relates n to
pH through chemical equilibrium.  It remains to be shown that the
value of n calculated by chemical equilibrium using the experimental
pH can closely approximate the experimental value of n-  This is
done in Figure 5.1.  It can be seen from this figure that the agree-
ment between the calculated value of n(or ~cai) and the experimental
value of r, (or r\e xp) for the slurry at the inlet and outlet of the
scrubber is fairly good.  The equilibrium relationship between n and
pH was calculated using the equilibrium program developed by Radian
Corporation.  This calculation has been described in detail by
Nel sent56!, (1974).
     To summarize, the lime scrubber can be simulated by the follow-
ing sequence of steps:
     1) Inlet conditions and operational and scrubber parameters are
        set.

-------
                                                                                  81
   50
   30
   10
O)
+j


OJ

o

en
E


O!
ZJ
O
re
o
rn
          Data for Lime'Scrubbing
           (see Table 4.1  for Operating
            Data and References)
   1.0

   0.8
                for the inlet Slurry of the Scrubber
                for the Outlet Slurry of the  Scrubber, ,
                         I
                                      j	i
                                                                            I	i
      0.8  1.0
                         3         5      7     10

                      n, experimental, mgmole/liter
30
50
          f-'i^ure 5.1   Comparison of the  Predicted and Observed Values of n for
                      Lime  Slurry  at  the Inlet and Outlet of EPA/RTP TCA Scrubber.

-------
                                                                 82
     2) The value of n-   is computed through chemical equilibrium




        Equation (5-7)  from pH.   which is specified.




     3) Relationships (5-5),  (5-6)  and (5-8) are solved simultaneously.




Utilizing the above sequence of steps, the lime scrubber data of




Borgwardt (see Table 5.1  for references)  has been simulated.   (see




Appendix A for example  of simulation).  The results of this simulation




are summarized in Figures 5.2 and 5.3.  In Figure 5.2, a comparison




between the observed and  calculated outlet slurry pH from the scrubber




is given; and in Figure 5.3 the observed and calculated SCL removal




efficiencies are compared.   It can  be seen that the agreement of the




calculated and observed outlet pH or SCL removal efficiency is good.




Thus, through simple material balances and the observations that n




can be related to pH of the lime slurry through chemical equilibrium




and that CCL absorption rate for lime scrubber system is negligible




compared to the S0_ absorption rate, a procedure has been developed




by which the SCL scrubbing efficiency and outlet slurry pH of a




scrubber utilizing lime slurry can be calculated from correlations




developed for the limestone scrubbing system.

-------
                                         Table 5.1

Range of Data Used in Constructing Figures 5.1, 5.2 and 5.3.  Data  is  for  the  EPA In-House TCA
                        Using Lime Slurries as the Scrubbing Medium
Equipment
and References
G
!• gmole
inlet outlet
L-
f g 1
1 2 J
cm sec
Inlet
Slurry
Temperature
Inlet
Pso2
(ppm)
Height
of
Packing
(cm)
Magnesium
Concentration
in Liquid
(ppm)
EPA In-House TCA  5.7   4.5             3.15

Borgwardt'-19-'     to    to   0.0136      to

                  9.5   6.0             3.8
                                                    125
2430

 to

2800
50.8

 to

76.2
  12

  to

1150
                                                                                                         00
                                                                                                         OJ

-------
                                                                        84
     7.0


     6.8

     6.6


     6.4


 •o   6.2
 o>

 2   6.0
 3
 <_>
 "•O   CO
 O   3 -O
   r.

  2  5.6
  4-5
  3
  C
     5.4

     5.2


     5.0


     4.8


     4.6
         I     I    I     I     I     I
       Data  for Lime  Scrubbing
       (see  Table  5.1  for Operating
        Data and References)
         A  EPA/RTP  Research TCA
                                  5% Error
, -   /   I	I    I    I     I	I     I	I	I	I     I	I
44	1	1	1	1	1	1	1	1	1	1	
   4.4  4.6  4.8 5.9  5.2 5.4  5.6  5.8  6.0  6.2   6.4   6.6  6.8 7.
                        (pHL...,.!,^, experimental
                           o * £. O • *   %/ •'_  _ , —  _-_  _ , .

                             (pH)outlet> experimental


Figure 5.2  Comparison of the Predicted and Observed Outlet Slurry
            pH for the Simulation of EPA/RTP TCA Scrubber Using
            Lime Slurry as the Scrubbing Medium.
                                                                        0

-------
                                                                          85
    •o
    0)
    o

    (T3
    (J
    O)

    u
 CU


 03

 O

 CU


 CM
O
CO
        100
        90
        80
        70
        60
        50
        40
                  T
T
T
            Data for Lime Scrubbing
            (see Table 5.1 for Operating
             Data and References)

              A  EPA/RTP Research TCA
                                        5%  Error
         40      50        60        70      80         90

                       S09 removal  efficiency,  experimental
                                                                     100
Figure 5.3  Comparison of the Predicted and Observed SO- Removal
            Efficiency for the Simulation of EPA/RTP TCA Scrubber
            Using Lime Slurry as the Scrubbing Medium.

-------
                                                                        86
                             Chapter 6




                    Conclusions and Discussion






      In  this  study a mathematical model which can simulate both large




 and  small  scale TCA scrubbers used for the scrubbing of S02 from flue




 gases by limestone, limestone-magnesium oxide and lime slurries has




 been proposed.  The parameters which appear in this model have been




 evaluated  from experimental data.  The gas film mass transfer coeffi-




 cients for the spray and packed sections of the TCA were obtained from




 the  literature and calculated from experimental data, respectively.




 The  liquid film resistances for both the spray and packed section




 were calculated from experimental data and correlated in terms of the




 ratio of the  mass transfer resistance in the gas film to that in the




 liquid film as a function of inlet pH, magnesium concentration of the




 scrubbing  slurry and inlet partial pressure of SC>2 in the flue gas.




 Within the accuracy of the experimental data, the ratio of the mass




 transfer resistances appears to be independent of the gas and liquid




 flow rates.   The temperature dependence of the ratio of resistances




 was  not  determined since the experimental data were available only




 in a narrow range of temperature.




      For the  data analyzed the chloride concentration in scrubbing




 liquid ranged from essentially zero to 10,000 parts per million.




 There did  not appear to be any relationship between chloride concentra-




tion and S02  scrubbing efficiency except through the influence of



 chloride on the slurry pH.

-------
                                                                        87
     Although many  assumptions were made in the analysis of the lime-




stone scrubbers  and scatter  of the data can be seen in the derived




correlations, these assumptions  appear to have given rise to a satis-




factory method of simulating the performance of both small and large




scale TCA and spray column scrubbers in removing S02 from flue gases




using limestone, limestone-magnesium oxide or lime slurries as the




scrubbing medium.   In most cases the calculated SC>2 removal efficiency




was within 5% of the experimentally observed efficiency.




     The scatter in the data in  the figures presented in this study




arise from several  sources.   Probably the most important of these is




that many of the data are taken  from large scale units where the




operating conditions and purity  of reagents are difficult to control.




Also a substantial  number of the data were reported as averages over




long periods of operation or reported in ranges and the averages over




these ranges were utilized in the analysis.




     The liquid film mass transfer resistance was correlated in terms




of the ratio of the gas to liquid film resistance because it did not




appear possible to  separate  the  liquid film mass transfer coefficient




into the enhancement factor  and  the liquid film mass transfer coeffi-




cient for physical absorption.  A possible mechanism for  862 absorp-




tion into limestone slurries has been proposed in this study in which




the absorbed SC>2 as ^803 reacts instantaneously and irreversibly in




parallel with OH", CaHC03+, MgHC03+,  and HC03" ions.  The physical




liquid mass transfer coefficient can be calculated, as shown in this




study, by this mechanism.   However, sufficient data are not presently




available to make this approach practical.

-------
                                                                         88
     The discussion of the mechanism of SC>2 absorption into limestone




magnesium oxide slurries has revealed:




     1} that the absorbed SC>2 as H2S03  could possibly react instantan-




eously and irreversibly with OH~, HC03~, CaHC03+ and MgHCC^"1" in




parallel reactions.




     2) a method by which the liquid phase mass transfer coefficient




for physical absorption can be calculated.




     The mechanism of S02 absorption reported here, with refinement,




could be used to model the S02 scrubbing efficiency of scrubbers using




limestone-magnesium oxide slurries.  However, one complicating factor




is that the physical liquid film mass transfer coefficient must be




known at gas and liquid flow rates encountered in actual scrubbing




operations.  However, with all the data analyzed in this study only




one value of k?a for one pair of gas and liquid rates could be




obtained for the TCA scrubber.




     For a scrubber which utilizes lime slurries as the scrubbing




medium, the S02 removal efficiency is shown to be a function of the




log mean hydrogen  concentration across the scrubber.  Therefore,




efficiency of the  lime scrubber cannot be calculated simply from




knowledge of the inlet condition as in the case of the limestone




scrubber.  A simple procedure has been developed in this study by




which the lime  system can be simulated with only the inlet conditions




being specified.   This procedure utilizes the  limestone correlations




and is based on the observations that the C02  absorption rate in the




lime scrubber  system  is  very small and  that the value of n can be

-------
                                                                        89
related to pH of the lime slurry through equilibrium.   The procedure




has been shown to give reasonable estimates of the S02 scrubbing




efficiency for the TCA scrubber utilizing lime slurries.

-------
Nomenclature
                                                                     90
A


Ak

Ap, As



CA


CM

CM

CB
D,
H

 Mi
Specific interfacial area available to
mass transfer

Pre-exponential factor in the expression
for R defined by Equation (3-20)

Accumulation of species k as solid
within the scrubber

Pre-exponential factor in the expression
for R for the packed and spray sections,
respectively

H2S03 concentration in the bulk liquid
phase

Interfacial H2S03 concentration

Average interfacial ^SO  concentration
Concentration of species which react
instantaneously and irreversibly with
H2S03

Sum of the OH~, CaHCC^*, MgHC03+ and
HC03~ ions

Molecular diffusivity of specie B in
the liquid phase

An operator, defined by Equations
(5-7) and (5-8)

Molar gas flow rate based on corss-
sectional area of the scrubber

Molar gas flow rate based on the free
projected area of the grid

Henry's law constant

Total liquid phase concentration of
species k in the i"* stream of the
scrubber

Gas film mass transfer coefficient for
physical absorption
era *•


Diraensionless


mgmole/sec



Dimensionless


gmol/cm^

gmol/cm^

gmol/cnr



gmol/cm


gmol/cm^


cm /sec
                                                         gmol/cm2sec


                                                         gmol/cm^sec
atm cm /gmol
                                                         mgmole/liter
                                                         gmol/cm atm sec

-------
Nomenclature (continued)
                                                                         91
k°
kL

kga
Kga
,5
kga

overall
kpa
M
'S02
AP
AP
  N
 Liquid  film mass  transfer  coefficient
 for physical  absorption

 Average overall gas  side mass transfer
 coefficient

 Overall gas side  mass  transfer coeffi-
 cient for the packed section of the TCA

 Gas side mass transfer coefficient for
 the packed section

 Overall gas side  mass  transfer coeffi-
 cient for the spray  section of the TCA

 Gas side mass transfer coefficient for
 the spray section

 Gas film mass transfer coefficient
 defined by Equation  (3-19)

 Liquid  flow rate  based on cross-
 sectional area of the scrubber

 Liquid  flow rate

 Absorption rate of C02 in the
 scrubber

Absorption rate of S02 in the
 scrubber

Molar flux of S02

 Pressure drop over the length of the
 scrubber

Pressure drop without scaling

Partial pressure of S02 in the bulk gas
phase

Average partial pressure of S02 in the
bulk gas phase

 Interfacial partial pressure of S02
 cm/sec


 gmol/cm atm  sec


 gmol/cm atm  sec


 gmol/cm^atm  sec


 gmol/cm atm  sec


 gmol/cm atm  sec


 gmol/cm atm  sec


 g/cm sec

 liter/sec


mgmole/sec


mgmole/sec

gmol/cm sec


 in H20

 in H20


atm


 atm

 atm

-------
Nomenclature (continued)
                                                                         92
 S02


 OUt
 S02
 S0



PT

R


R
u
"mf
U
 BN
z

AZ

ZT
Inlet partial pressure of S02 in the
bulk gas phase

Outlet partial pressure of S02 in the
bulk gas phase

Partial pressure of S02 which could be
maintained in equilibrium with the
bulk liquid phase

Total pressure

Ratio of the gas to liquid film mass
transfer resistances

Average ratio of mass transfer
resistances in TCA

The value of R in the packed and
spray sections, respectively

Total concentration of species k
as solid in the i^S- stream of the
scrubber

Liquid temperature

Gas mass velocity based on cross-
sectional area of the scrubber

Gas mass velocity u at the minimum
fluidization condition

Linear velocity at the bottom of
the scrubber with scale present

Linear velocity at the bottom of
the scrubber without scale present

Height measured from gas inlet

Difference between height Z2 and Zj

Total height of the transfer region

Height of the  i— position
atm


atm



atm

atm


Dimensionless


Dimensionless


Dimensionless



mgmole/liter
g/cm sec

    2
g/cm sec


cm/sec


cm/sec

cm

cm

cm

cm

-------
                                                                       93
            Height of the packed section in the TCA

            Height of the spray section in the TCA
Greek Symbols
*

Y
  > A
Enhancement factor for mass transfer in
the liquid film due to chemical reaction

Average enhancement factor

Stoichiometric factor

Magnesium correction factor for As and A

          i - [Ca]i
                                             cm

                                             cm
Dimensionless

Dimensionless

Dimensionless

Dimensionless

mgmole/liter

-------
                                                                      94
Bibliography


 1.  Ando,  J.,  paper presented in Symposium on Flue  Gas  Desulfuriza-
     tion,  Atlanta,  Georgia,  (1974).

 2.  Atsukawa,  M.,  Sangyo Kankyo Kogaku (Japan),  44, 23  (1965).

 3.  Balabekov, 0.  S.,  Tarat  Romankov,  E.  Ya., and Mikhalev,  M.  F.,
     Trans. Zhur.  Prikladnoi  Khim.,  4^, (7), 1540, (1969).

 4.  Barile, R. G.,  Dengler,  J.  L. and  Hertwig, T. A., A.I.Ch.E.
     Symposium Series,  70, (138), 154,  (1974).

 5.  Barile, R. G.,  and Meyer, D. W., Chem. Eng.  Progr.  Symp. Ser.,
     67_, (119), 134, (1971).

 6.  Berkowitz, J.  B.,  Evaluation of Problems Related to Scaling in
     Limestone Wet Scrubbing, report prepared by ADL for the EPA,
     April, (1973).

 7.  Bjerle, I., Bengtsson,  S. and Farnkviet, K. Chem. Eng.  Sci., 27,
     1853  (1972).

 8.  Blyakher,  I.  G., Zhivaikin, L.  Ya   and Yurovskaya,  N.  A., Inter-
     national Chem.  Eng., 7_ (3), 485,  (1967).

 9.  Boll,  R. H.,  paper presented at Lime/Limestone Wet  Scrubbing
     Symposium, Pensadola, Florida,  (March 16-20, 1970).

10.  Borgwardt, R.,  Limestone Scrubbing of SO? at EPA Pilot Plant,
     Report No. 1, (August,  1972).

11.  Borgwardt, R.,  ibid., Report No. 2 (September,  1972).

12.  Borgwardt, R.,  ibid., Report No. 3 (October, 1972).

13.  Borgwardt, R.,  ibid., Report No. 4 (November, 1972).

14.  Borgwardt, R.,  ibid., Report No. 6 (January, 1973).

15.  Borgwardt, R.,  ibid., Report No.  7 (February, 1973).

16.  Borgwardt, R., ibid., Report No.  11  (June, 1973).

17.  Borgwardt, R., ibid., Report No.  12  (July, 1973).

18.  Borgwardt, R., ibid., Report No.  14  (January, 1974).

19.  Borgwardt, R., ibid., Report No.  15  (February, 1974).

-------
                                                                        95
Bibliography  (Continued)


20.  Borgwardt,  R.,  ibid.,  Report No.  16  (June, 1974).

21.  Borgwardt,  R.,  ibid.,  Report No.  17  (July, 1974).

22.  Borgwardt,  R.,  paper presented at the EPA Flue Gas Desulfurization
     Symposium,  Atlanta, Georgia  (November 4-7, 1974).

23.  Chen, B. H. and Douglas, W. J. M.,Can. J. Chem. Eng., 46, 245,
     (1968).                                               —

24.  Chen, B. H., and Douglas, W. J. M., Can. J. Chem. Eng., 47, 113,
     (1969).

25.  Cheremisinoff,  P. N.,  and Fellman, R. T.,Power Eng., 54, (October,
     1974) .

26.  Devitt, T.  W.,  and Zada, F. K., paper presented in Symposium on
     Flue Gas Desulfurization, Atlanta, Georgia, (1974).

27.  Douglas, H. R., Snider, I. W. A. and Tomlinson, II,  G. H.,
     Chem. Eng.  Prog., 59_,  (12), 85, (1963).

28.  Douglas, W. J.  M., Chem. Eng. Prog., 60_, (7),  66, (1964).

29.  Epstein, M., EPA Alkali Scrubbing Test Facility at the TVA
     Shawnee Power Plant, Bechtel progress report prepared for the
     EPA for July 1, 1973 to August 1, 1973 (August 31, 1973).

30.  Epstein, M., ibid., progress report for October 1, 1973 to
     November 1, 1973 (November 30, 1975).

31.  Epstein, M., ibid., progress report for December 1,  1974 to
     January 1,  1974 (January 31, 1974).

32.  Epstein, M., ibid., progress report for January 1, 1974 to
     February 1, 1974 (February 28, 1974).

33.  Epstein, M., ibid., progress report for May 1, 1974  to June
     1, 1974 (June 30, 1974).

34.  Epstein, M., ibid., progress report for June 1, 1974 to July
     1, 1974 (July 31, 1974).

35.  Epstein, M., ibid., progress report for July 1, 1974 to
     August 1, 1974  (August 31,  1974).

-------
                                                                      96
Bibliography (Continued)
36.  Epstein, M.,  EPA Alkali  Scrubbing Test Facility:   Limestone Wet
     Scrubbing Test Results,  report prepared by Bechtel for the EPA
     (January, 1974).

37.  Epstein, M.,  EPA Alkali  Scrubbing Test Facility:   Sodium Carbonate
     and Limestone Test Results,  report prepared by Bechtel for the EPA
     (August, 1973).

38.  Epstein, M.,  Sybert,  L.,  Wang, S.  C.,  Leivo,  C.  C.,  Princiotta,
     F- T., paper  presented at the 66th Annual  Meeting of the
     A.I.Ch.E., Philadelphia,  Pennsylvania, (November, 1973).

39.  Gel'perin, N. I., Savchenko, V. I., Ksenzenko, B. I., Grishko,
     V. Z., and Dianov, E.  A., Khimicheskoe Promyshlennost, 11,
     (1965).

40.  Gel'perin, N. I., Grisko, V. Z.,  Savchenko, V. I., and
     Shchedro, V.  M.,  Chem. Petrol. Eng., (1),  36, (1966).

41.  Gel'perin, N. I., Savchenko, V. I., and Grisko,  V. Z., Teor.
     Osn,  Khim. Tekhnol.,  2^  (1), 76,  (1968).

42.  Gleason, R. J.,  paper presented at the Second International
     Lime/Limestone Wet Scrubbing Symposium, New Orleans, Louisiana
     (November 8-12,  1971).

43.  Hatta, S., Techol. Reports Tohoku Imp. Univ., 10, 119 (1932).

44.  Johnstone, H. F., and Silox, H. E., Ind. Eng. Chem., 39, 808,
     (1947).

45.  Johnstone, H. F., and Single, A.  D., Ind.Eng. Chem., 29, 288,
     (1937).

46.  Johnstone, H. F., and Williams, G. C., Ind. Eng.  Chem., 31,
     993,   (1939).

47.  Khanna, R. T., Ph.D.  Thesis, McGill Univ., Canada,  (1971).

48.  Kito, M., Shimada, M., Sakai, T.  Sugiyama, S., and Wen, C. Y.,
     paper to be presented at Engineering Foundation Conferences,
     California,  (June, 1975).

49.  Kulbach, A. W.j Chem. Eng. Progr. Symp. 'Ser., 57_, No. 35,  (1961).

50.  Levsh, I. P.  Krainev, N. I., and Niyazov,  M. I., Uzb. Khim. Zh.,
     5_, 72, (1967).

-------
                                                                        97
 Bibliography (Continued)
 51.   Levsh,  I.  P.  Krainev, N. I., and Niyazov,  M.  I.   International
      Chem.  Eng.,  8_,  (4), 610, (1968).

 52.   McMichael,  W. J.,  Fan, L.  S. and Wen,  C. Y.,  paper presented
      at  A.I.Ch.E. Meeting, Houston,  Texas,  (March  16-20,  1975).

 53.   Nakagawa,  S., Seisan to Gijutsu (Japan), 5_, 33,  (1964).

 54.   Nannen,  L.  W.,  R.  E.  West  and F. Kreith, J. Air.  Poll. Control
      Association, 24,  29 (1974).

 55.   "New Floating Bed  Scrubber Won't Plug", Chem. Eng.,  66, 106,
      (December  14, 1959).

 56.   Nelson,  R.  D.,  Jr., M.S. Thesis, West Virginia University,
      Morgantown, West Virginia  (1974).

 57.   O'neill, B. K., Nicklin, D.  J.,  Morgan, N. J., and Leung, L. S.,
      Canadian J. Chem.  Eng.,  50,  595, (1972).

 58.   Potts, J. M., Slack,  A.  V.,  and  Hatfield, J. D., paper presented
      at  Second International  Lime/Limestone Wet Scrubbing Symposium,
      New Orleans, LA,  (November 8-12,  1971).

 59.   Slack, A. V., Falkenberry, H. L., and Harrington, R.  E.,  J. Air
      Poll. Control Association, 2.2, 159, (1972).

 60.   Strom, S. S., and Downs, W., paper presented at A.I.Ch.E.  Meeting,
      Philadelphia, Pennsylvania,  (November 11-15, 1973).

 61.   Takahashi, T., and  Akagi, Y., Memoirs of the School  of Eng.,
      Okayama Univ., _3, 51,  (1968).

62.  Takahashi, T. and Fan, L. T., Removal of Sulfur Dioxide from
     Waste and Exhaust Gases, Report  12, Institute  for Systems  Design
      and Optimization, Kansas State University,  Manhattan, Kansas,
      (1969) .

63.  Tichy,  J., Wong, A., and Douglas, W. J. M., Can.  J. Chem.  Eng.,
     5£,  215, (1972).

64.  Tichy,  J., and Douglas, W.  J. M., Can.  J. Chem.  Eng., 51,  618
      (1973).

65.  Vivian, J.  E.,  The Absorption of S02 into  Lime Slurries:   An
     Investigation of Absorption Rates^ and.Kinetics,  report prepared
     for  the HEW Dept.,   (September, 1973).

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                                                                       98
Bibliography (Continued)
66.  Weir, Jr., A., paper presented in Symposium on Flue Gas  Desulfuri-
     zation, Atlanta, Georgia, (1974).

67.  Wen, C. Y.,  Wet Scrubber  Study, report prepared by West Virginia
     University for the EPA, Report No. 35 (December, 1973).

68.  Yagisawa, and Hayashi, Ryuan, (Japan), 14, 167,  (1961).

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                                                                     99
                            Appendix A

Numerical Example of the Simulation of EPA/RTP TCA Scrubbers Using
                Lime Slurry as the Scrubbing Medium

     The simulation of the lime scrubber consists of the following

sequence of steps:

     1) Inlet conditions and operation and scrubber parameters are set.

     2) The value of n-  is computed through chemical equilibrium

        Equation  (5-7) from pH.  which is specified.

     3) Relationships  (5-5), (5-6) and (5-8) are solved simultaneously.

     A numerical  example is provided in this Appendix to carry out the

simulation of the EPA/RTP TCA scrubber using lime slurry as the

scrubbing medium.  This simulation follows the sequence of steps given

above.  The inlet conditions and operation and scrubber parameters are

given in Table B.I.  The value of n is computed through chemical

equilibrium computer program (NelsonL   , 1974) by specifying the

following experimental values for parameters:

     Temperature  = 125°F
     Maximum CO-  pressure = 0.12 atm
     Total Sulfate concentration in the liquid phase = 37.25 mgmole/
       liter
     Total Magnesium concentration in the liquid phase = 22.IS
       mgmole/liter
     Total Chloride concentration in the liquid phase =0.0 mgmole/liter

 and  desirable pH.

      The value of n as a function of pH computed from the above

described chemical equilibrium computer program is  shown in Figure

B.I where the inlet conditions for pH and n  are shown.  A series

of trial and error procedures are involved  in  solving

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                                           Table /\. ]

Operating Conditions and Reference for the Example Given in Appendix  B.   Data  for  the  BPA  In-House
                         TCA Using Lime Slurries as the Scrubbing Medium
  Equipment
and References
    PH
inlet outlet
   G
,gmole ,
1   2
cm sec
                                             L
                                             J.
1   2
cm sec
            Inlet
            Slurry
          Temperature
EPA In-House TCA
                                                   Inlet
                         (ppm)
                    Height
                      of
                    Packing
                     (cm)
                  Magnesium
                  Concentration
                  in Liquid
                    (ppm)
  Borgwardt
           [19]
 6.1   4.9   0.0136
3.15
125
2800
                                                76.2
                                                546
                                                                                                           o
                                                                                                           o

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                                                                         101
Equations  (5-5),  (5-6)  and  (5-8)  simultaneously to obtain solutions of




^SO  '  nout  anc*  PHout'   Tnese procedures  in  terms of numerical  solutions



are  shown  in  the  subsequent  development  for this example.



      1) Assume    PHout  (4-9) to  calculate SO.,  removal  efficiency



         (Sb°o) via scrubber model  as  summarized in Table  3.5.

                                     f

      2) Compute the  value for M    /L  (9.52 mgmole/liter)  from the

                               bU2

        S0? removal  efficiency as obtained  from step (1)  and then,



        calculate r.     (35.52 mgmole/liter)  via Equation  (5-5).   Sub-



        sequently, pH     (4.80)  can  be found via  Equation  (5-5).   Sub-



        Figure  B.I.  New value of S0? removal  efficiency  (85.5%)



        can,  therefore, be calculated based on the  new value of



        pH    (4.80).
        v out *•   J


      5) Compare pH     (4. SO)  with the assumed  value of pH    (4.90)



        to check  if  it  meets the  desirable  convergent  criterion.



        The same  check  applies to the SO., removal efficiency.



      4) If both pH    and S0? removal efficiency  meet  the



        desirable convergent criteria, the  calculation is  completed.



        Otherwise, iteration proceeds from  step  (1)  with new



        value (4.80) replaced for pH   .



     These procedures reveal  the  following  results  for this



example:



     pH  .  = 4.80
     f out


S0? removal efficiency  = 85.5%.



where the experimental  observed values for  this  example are:



           =4.90
S0_ removal efficiency = 81%.

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    100

     80



     60




     40
S-

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                                                                         103
The agreement between the simulated and experimental values of pH and



SCL removal efficiency appears fairly good.

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                                                                   104
                           Appendix B

Some Comments on the Concentration of Reactant,  Cg,  Calculated Via
                  Equilibrium Computer Program"


     In order to utilize the equilibrium computer program (Nelson    ,

1974), three major parameters must be specified.   They are slurry pH,

total sulfate concentration in the liquid phase and maximum CCL

partial pressure.  For limestone recycle slurry scrubbing system, an

examination of the experimental data  reveals that the variations of

slurry pH and total sulfate concentration in the liquid phase across

the scrubber are, in general, less than 15% (Borgwardt         ,

1972~1974).  In addition, the maximum CC-  partial pressure for the

slurry in the scrubber appears most likely to be the flue gas CO,,

partial pressure.  Thus, through an equilibrium calculation only a

slight variation of concentration profile for each individual

specie across the scrubber can be expected.

     Examining the concentration of total carbonate in the liquid

phase obtained from the equilibrium calculation and the experimental

observation, it is shown that a reasonable agreement can be achieved.

HCO  which is identified as the major reactant specie contributes

significantly towards the total carbonate concentration in the

liquid phase.  Consequently, it appears that the concentration of

HCO  can be approximated from an equilibrium calculation.

     It is concluded that only a slight variation of concentration

for the total carbonate in the liquid phase across the scrubber exists.

The major reactant specie, HCO,, can be approximated from the equili-

brium calculation.  The use of the inlet slurry condition specified

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                                                                      105
for the equilibrium calculation shown in this study offers convenient



methods in determining the concentrations of reactant species via




equilibrium calculation.   (also see page 40 for reasons for using




inlet slurry pH in the correlation of mass transfer coefficient).

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                                                                          106
                                TECHNICAL REPORT DATA
                          (Please read la&vctions on the reverse before completing)
1. REPORT NO.
EPA-600/2-75-023
                                                      3. RECIPIENT'S ACCESSION-NO.
4. TITLE AND SUBTITLE
Absorption of Sulfur Dioxide in Spray Column and
   Turbulent Contacting Absorbers
                                  5. REPORT DATE
                                  August 1975
                                  6. PERFORMING ORGANIZATION CODE
7. AUTHOR(S)
                                                      8. PERFORMING ORGANIZATION REPORT NO.
C.Y. Wen and L.S. Fan
9. PERFORMING OR9ANIZATION NAME AND ADDRESS
West Virginia University
Department of Chemical Engineering
Morgantown, West Virginia 26506
                                  10. PROGRAM ELEMENT NO.
                                  1AB013; ROAP 21ACY-041
                                  11. CONTRACT/GRANT NO.

                                  Grant R-800781
 12. SPONSORING AGENCY NAME AND ADDRESS
 EPA, Office of Research.and Development
 Industrial Environmental Research Laboratory
 Research Triangle Park, NC  27711
                                  13. TYPE OF REPORT AND PERIOD COVERED
                                  Final; 6/74 - 6/75	
                                  14. SPONSORING AGENCY CODE
 15. SUPPLEMENTARY NOTES
 10 ABSTRACTThe report'gives results of an analysis of experimental data, from both
 small and large scale turbulent contacting absorbers (TCA) and spray columns used
 in the wet scrubbing of SO2 from flue gases, to obtain gas film mass transfer coef-
 ficients and overall coefficients  in the liquid film which includes chemical reaction in
 the liquid film. Recycled limestone, limes tone-magnesium oxide, and lime scrubbing
 slurries were investigated.  Gas film  coefficients for the spray and TCA scrubbers
 were calculated from  data on SO2 scrubbing with sodium carbonate solutions. Overall
 mass transfer resistances in the liquid  phase were correlated for both scrubbers in
 terms of the ratio of the gas film and liquid film mass transfer  resistances. The ratio
 of the resistances was found to be a function of only the scrubber type, inlet SO2 par-
 tial pressure in the gas phase, slurry pH, and magnesium concentration of the scrub-
 bing slurry. Specifically, it was found that the ratio of the gas and liquid film mass
 transfer resistances (or the fraction to  which SO2 removal is gas film controlled)
 increases with increasing slurry pH and magnesium concentration and decreasing SO2
 partial pressure. Correlations for the gas film mass transfer coefficient and the ratio
 of mass transfer  resistances are shown to predict fairly accurately the experimentally
 observed SO2 removal efficiencies.
17.
                             KEY WORDS AND DOCUMENT ANALYSIS
                DESCRIPTORS
                      b.lDENTIFIERS/OPEN ENDED TERMS
                        c.  COSATI Field/Group
 Air Pollution
 Sulfur Dioxide
 Absorption
 Calcium Oxides
 L-imestone
 Magnesium Oxides
 Calcium Carbonates
Sodium Hydroxide
Slurries
Scaling
Flue Gases
Des ulfur ization
Mathematical Models
Air Pollution Control
Stationary Sources
Turbulent Contacting
  Absorbers (TCA)
Spray Towers
13B
07B
11G
11F
21B
07A,  07D
12A
13. DISTRIBUTION STATEMEN1
 Unlimited
                                          19. SECURITY CLASS (This Report)
                                          Unclassified
                                               21. NO. OF PAGES
                                                 114
                      20. SECURITY CLASS (Thispage)
                      Unclassified
                        22. PRICE
EPA Form 2220-1 (9-73)

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