WATER POLLUTION CONTROL RESEARCH SERIES • ORD 17090EHQ 09/70
                   MATHEMATICAL MODEL OF
                RECALCINATION OF  LIME SLUDGE
                WITH FLUIDIZEO BED REACTORS
U.S. DEPARTMENT OP THE INTERIOR • FEDERAL WATER QUALITY ADMINISTRATION

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        WATER POLLUTION CONTROL RESEARCH SERIES
The Water Pollution Control Research Reports describe
the results  and progress in the control and abatement
of pollution in our Nation's waters.  They provide  a
central source of information on the research, develop-
ment, and demonstration activities in the Federal Water
Quality Administration, in the U. S. Department of  the
Interior, through inhouse research and grants and con-
tracts with  Federal,  State, and local agencies, research
institutions,  and industrial organizations.

Inquiries pertaining to Water Pollution Control Research
Reports should be directed to the Head, Project Reports
System, Planning and Resources Office, Office of Research
and Development,  Department of the Interior, Federal  Water
Quality Administration, Room 1108, Washington, D. C.  20242.
      For tale by the Superintendent of Documents, U.S. Government Printing Once
                 Washington, D.C. 20402 - Price 85 cents

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MATHEMATICAL MODEL OF RECALCINATION OF LIME
     SLUDGE WITH FLUIDIZED BED REACTORS
                    by
                G. J. Ducar
                  P. Levin
General American Transportation Corporation
           Niles, Illinois 60648
                  for the

  FEDERAL WATER QUALITY ADMINISTRATION

        DEPARTMENT OF THE  INTERIOR
            Program #17090 EHQ
            Contract #14-12-415
      FWQA Project Officer, R. Smith
Advanced Waste Treatment Research Laboratory
             Cincinnati, Ohio
              September, 1970
                    ! IPPApV
                    (L« •_ I '.. l'I '. 3
                    •')-•;;. of ths Iniubf.
                    ..';j-,
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           FWQA Review Notice
This report has been reviewed by the Federal
Water Quality Administration and approved for
publication.  Approval does not signify that
the contents necessarily reflect the views
and policies of the Federal Water Quality
Administration, nor does mention of trade
names or commercial products constitute
endorsement or recommendation for use.

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                                ACKNOWLEDGMENT






     We wish to express our appreciation to the following people for their




fine cooperation in assembling data for this project:




     Jim Amertnan,  Ann Arbor Municipal Water Plant




     Lee Bingham,  P.  H. Glatfelter Company, Pennsylvania




     John Moran, Phillip Hinkley,  S.  D. Warren Paper Company,  Muskegon,  Michigan




     Jim Kuehl, Kimberly Clark, Neenah, Wisconsin




     Walter McMichael, FWQA, Cincinnati, Ohio

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                         TABLE OF CONTENTS




                                                            PAGE MO.




ACKNOWLEDGMENT                                                  i





ABSTRACT                                                       iv




INTRODUCTION                                                    1




     Origin of Lime Sludges                                     2




DESCRIPTION OF SYSTEMS ANALYZED                                 3




     Terminology                                                3




     System Components and Operation                            3




     Method of Approach                                         8




RESULTS                                                        10




     Data Collected                                            10




     Equations Developed                                       10




     Sizing the Reactor                                        13




     System Electrical Power                                   23




     Lime Loss Rates                                           23




     Ash                                                       25




     Reactor Heat Balance                                      26




     Systems Costs                                             26




          Electrical                                           26




          Fuel                                                 2?




     Operating and Maintenance                                 27




     Makeup Lime and Solids Disposal                           28




     Equipment Capital Costs                                   29




     Installation and Consulting Fees                          29
                               ii

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                    TABLE OF CONTENTS  (CONT'D)




                                                             PAGE NO.





     Total Cost of Maintenance and Operation                    31




COMPUTER PROGRAM                                                32




     Listing of Program                                         32




     Flow Chart                                                 32




     How to Use Program                                         36




          Operation                                             36




          Reactor Sizing Limit                                  36




CONSLUSIOWS AND RECOMMENDATIONS                                 Ul




     Performance of the System                                  Ifl




     Factors to be Considered                                   U2




     Equipment Design                                           ^3




BIBLIOGRAPHY                                                    1+3




TERMINOLOGY                                                     1+6
                               ill

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                                  ABSTRACT






     This report describes the development of a computer program to evaluate




lime sludge recalcination systems.  Data for the program was collected from




a literature survey and field trips to operating installations of pulp mills




and a water softening plant.





     Some of the design relationships were found to have the same correlating




variables for the recalciner as for the fluidized bed incinerators.  Equations




were developed for the least square curves which fitted the data best.  These




equations were used as the basis for the computer program developed to size




some of the major components and to estimate capital,  operating and maintenance




costs for fluidized bed lime recalcination systems.





     The fluidized bed reactor recalcining process has not yet been installed




at any sewage treatment plant.  Therefore, no data on the process was available.




However, the pulp and paper plants and water softening plants presently recalcine




in a manner which would be applicable to tertiary treatment recalcination




requirements.  Therefore the models developed herein represent the recalcination




process as applied to tertiary treatment plants.





     The computer program developed will be used (by FWQA) as a subroutine  for




the executive computer program entitled "Preliminary Design of Wastewater




Treatment Systems."  The executive program will be used to evaluate and optimize




new wastewater treatment systems which are to be funded by FWQA.





     This report was submitted in fulfillment of Contract #14-12-415,  Program




#17090 EHQ, between the Federal Water Quality Administration and General




American Transportation Corporation.
                                     iv

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                               INTRODUCTION






     Lime (calcium hydroxide, Ca(OH)p) is extensively used in "both water and




waste treatment processes. In combination with soda ash, it is used to




reduce the hardness of water.  Present indications are that it can he used




economically to reduce the nitrogen and phosphorus content of wastewater.





     The disposal of lime sludges produced in these water and wastewater




treatment processes is "becoming a serious problem due to the limited capacity




of our environment to absorb such wastes.  These sludges, once considered




innocuous, now are considered as pollutants adversely affecting the environ-




ment.  The requirements for higher degrees of treatment will require increased




quantities of lime at wastewater treatment plants, presenting increased disposal




problems for the increasing volumes of sludges produced.





      The most ideal  solution available for disposal of this sludge is to




convert  it economically into a usable product.  This can readily be accom-




plished by heating it to  about 1600°F and decomposing the sludge to calcium




oxide and rehydrating or  slaking the calcium oxide for recycling to the process.




This processing  is commonly  referred to as recalcining.





      Various types of reactors are available to accomplish this, including




rotary kilns, multiple hearth and fluidized bed incinerators.





      The purpose of  this  program was to develop a mathematical model of a




fluidized bed reactor for recalcining calcium carbonate  sludge.  The model




is  composed of equations  which represent the calcination equipment and




process.  This model should be of assistance to FWPCA in sizing reaction

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vessels and related equipment, the amount of fuel and power required,  and


estimates of the capital, operating, and maintenance costs for fluidized


ted reactors used for lime recalcination.  The necessary equations were


developed from data obtained from the literature and from field surveys of


plants which recalcine calcium carbonate produced in the manufacture of wood


pulp and the lime-soda ash water softening process.   No plants are currently


in operation which recalcirie lime from primary or tertiary treatment processes


in sewage treatment plants.  These systems closely resemble the equipment which


could be used in sewage treatment applications in the near future.


Origin of Lime Sludges


     The addition of lime to raw sewage or secondary effluents is an effective


procedure for reducing phosphorus concentrations.  The residual dissolved


phosphate level declines as a function of the pH to which the wastewater


is treated, with about 0.15 mg/1 P remaining at a pH of 11.  The elevation


to pH 11 also results in conversion of the NH.   to NH,. which can be removed


in an air stripping tower.  The sludge precipitated either in the primary


tank or tertiary plant contains calcium carbonate sludge with both organic


and chemical impurities.


     Similarly, in a typical water softening process, sufficient lime is added

                                                  P
to elevate the pH to 11 and precipitate the Mg(OH)  and CaC0 .


     Subsequent recarbonation of the effluent or softened water at a pH of


11 depresses the pH to approximately pH 9-5, precipitating an essentially


pure (9S$O CaC0_ which can be effectively recalcined.

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                       DESCRIPTION OF SYSTEMS ANALYZED






Terminology





     A schematic of the reactor or combustion chamber,  which is the  heart  of  the




fluidized bed recalcining system,  is shown in Figure 1.   The parameters related




directly to the reactor are shown and the various regions of the reactor are




labeled on Figure 1.  The lower section of the reactor consists of a fluidized




air plenum, an air distribution grid and a pellet cooling section called the




cooler.  The center section of the reactor is the calcining section  containing




the fluidized Ca0 pellet bed.   Above the calcining section is the freeboard.   The




terminology shown on Figure 1 is specifically related to the reactor vessel.   How-




ever, auxiliary equipment was considered on this program.  Therefore additional




terminology was required and this terminology is given in Appendix A.





System Components and Operation





     The system components included in this study are shown in Figure 2.  The




recalcined lime handling system (not shown in Figure 2)  and the components shown




in Figure 2 are included in the capital costs developed on this program.  The




layout shown is the complete fluidized bed recalcining system which  is usually




purchased as a package.  This system was used as the basis for including




equipment in the study because cost data collected included all of the components




shown in Figure 2 plus the lime handling system.  Since it was not possible to




obtain costs for the individual components it was necessary to develop cost




information for the total system.   The costs developed on this program do  not




include land costs for recalcining equipment or ash disposal or land costs for




storage of wasted CaC0~ for a non-recalcining installation.  Slaking lime  loss




rates were not included in this program.

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To Stack
        Calcining
          Zone
           Sludge
            Feed

             Cooler
               Plenum
                                'Fluidizing Air
                          Figure 1    RMCTOR TERMINOLOGY

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              To Stack  (to atmosphere)
                   T               Exhaust Fan
   Water
                                                               Fluidized
                                                                 Beds
                                                              (Pellets)
                                                           Calciner
                                                            Feed( Powder)
Sludge
Cooling Compartment


, Fuel (Gas or Oil)
                                                                                                      Pelletized
                                                                                                     Lime  & Waste
                                                                                                      Handling System
                                                                              Fluidizing Air Blower
                             Figure 2    SCHEMATIC OF RECALCULATION SYSTEM

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Calcining Process Description





     Since no primary or tertiary lime recalcinat ion- sludge combustion




systems were in operation at the time of this report the process was  not




available for analysis.   However,  the pulp and paper and water softening




recalcining processes closely resemble the tertiary and primary recalcining




process which could be used in the future.  The calcium carbonate sludge  is




initially dewatered either by a centrifuge or vacuum filter to a cake with a




solid content of 60 to 65 percent.  This cake is then passed through  a mixer




and cage mill where it is mixed with dried recycle CaC0_ and hot stack gases




containing fine CaC0_ particles.  The stack gases are usually diluted with air




or quenched with water to reduce the gas temperature entering the cage mill  to




a level which will not affect the cage mill.   The mixture is ground and dried




in the cage mill and the particulate matter is carried with the gases to  the




primary cyclone.





     Very fine material CaC0_ passes through the primary cyclone to the




secondary cyclone.  The large particles are either sent to the reactor and




mixed with soda ash for recalcination and particle growth or recycled through




the cage mill (75% are recycled).   The finer particles entering the secondary




cyclone pass through and are collected in the scrubber.  The heavier  particles




entering the secondary cyclone are sent to the feed bin and then to the reactor




for recalcination or particle growth.
     Soda ash is added to the feed stream to promote pelletization of



particles in the reactor.  It is a necessary additive which melts to a sticky




material in the reactor and coats the surface of Ca0 particles causing them to

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stick together.  The cost of soda ash is $33/ton (19^9 price less freight)




and the normal feed rate for pulp and paper plants is approximately 0.5  to




1.0$ by weight of the sludge leaving the devatering device.





     The dried CaC0  sludge is fed into the fluidized Ca0 "bed in the calcining




section of the reactor with fuel to make the endothermic reaction proceed.   The




material remains in the reactor at a temperature of approximately l620°F.  (recal-




cination occurs at approximately 1520°F.) until it is "blown up and out through




the freeboard zone by the fluidizing gases (fine particles)  or it falls  through




a pneumatic level sensitive valve into the cooler zone.  The freeboard zone




prevents larger particles from leaving the reactor with the exhaust bases.   The




particles which have grown to pellet size, from continued agglomeration  accel-




erated by the soda ash, enter the cooler section at l620°F.  and are cooled to




approximately ^00°F. by the fluidizing air which passes up through the cooler.




The fluidizing air is preheated to approximately 400°F. in the cooler.





     The pelletized lime is removed from the cooler through a pneumatic  level




control valve.  The lime is pelletized because it is more convenient to  handle




in a pellet form, rather than a powder.  Also, since the particles forming the




pellet, for the most part, are recycled through the reactor several times more




complete recalcination is assured than if the finer particles were used as the




final product.  For proper fluidication in the recalcining  section a particular




particle size range must be maintained.





     Since the Ca0 particles continually grow in the reactor it is necessary to




replenish the fine particle supply in the reactor periodically.  This is done




by crushing some of the  stored pelletized lime and feeding  it to the reactor.

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This particle addition is also necessary when the recalcining section becomes




loaded with impurities which must be dumped to waste.





     The input stream to be used for the computer program developed is the




feed material CaC0-, in a dry (zero water content) state.   This is equivalent




to the composition of the material leaving the cage mill  in a dried state.




All of the water in the feed is evaporated in the cage mill by the hot exhaust




gases.





Method of Approach





     The method of approach used for this study was to:




     l)   Review the literature to establish the availability of published




          data concerning recalcination by fluidized bed reactors;




     2)   Visit representative pulp mills and water softening plants to




          obtain data on fluidized bed reactors in use today;




     3)   Develop a computerized procedure for evaluating lime sludge




          recalcination systems assuming the systems at the pulp mills




          and water softening plants closely resemble the equipment which




          could be used in future sewage treatment applications.





     E&r necessity, the evaluation procedures are limited in their application




to the range of the parameters disclosed by the literature search and facility



visits.  Also, the available funding limited the amount of facility visits.




     The facility visits were conducted at:




     1)   A pulp mill of Kimberly-dark at Reading, California which was not




          visited directly, but data on it were obtained by a personal visit




          to the corporate engineering offices located in Neenah, Wisconsin,





                                     8

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     2)   A water softening plant at Ann Arbor, Michigan,




     3)   A pulp mill of P. H. GLattfelter at Spring Grove,  Pennsylvania,




     k)   A pulp mill of S. D. Warren Company at Muskegon,  Michigan,  and




     5)   A water softening plant at Lansing, Michigan.




     A review of the literature found no recalcination units treating sludge




from wastewater treatment plants.  There were recalcination units utilized



to recalcine CaCjZ^ sludge produced in the manufacture of wood pulp and the




lime-soda ash water softening process.




     One commercial process which reportedly employs addition of lime to the



primary tank suggested that this lime can be recovered by dewatering and




incinerating the primary sludge and slaking the resulting ash to recover



the lime; however, our literature study did not reveal any such plants even




in the design stage.  We were also unable to find any plants calcining sludge




containing calcium phosphate.  The recalcination of this material would result




in a build-up of non-volatile impurities in the Cafi produced.




     In this study, considerable data were obtained in the recalcination of




essentially pure calcium carbonate by visiting paper plants which produce




this type of sludge.  Our model is therefore based on the recalcination of




essentially pure Ca.C^.  At present, this appears to be a realistic approach




since at the Advanced Waste Treatment Plant in operation at Blue Plains we




were advised that none of the lime produced from impure CaCj#~ was recycled




to the system.  It was the operator's belief that this material would be




utilized more effectively as agricultural lime because of its phosphate




content.  Only the essentially pure CaC0^ produced in the settling basin




following recarbonation would be recycled to the multiple hearth furnace




they were utilizing for recalcination.




                                    9

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                                RESULTS





Data Collected





     Table I is a summary of the data collected on the recalcination




systems studied during this program.  This data was obtained by visits




to installations and a survey of literature.  The costs presented in Table I




are the costs actually paid for the equipment.  These costs can be com-




pared by applying a cost index relating purchase dates.




     The equipment sizing and capital cost data are reliable since they




were obtained from visual inspection and available drawings.  However,  the




data for operating costs (fuel, power and operator), though fairly accurate,




were not readily available.  The gross costs ($/ton of recalcined lime)




were available.  These costs are functions of operating efficiencies which




were in various stages of improvement at the various plants.  Note that  there




is no reason that the fluidized bed calciner cannot be used in smaller  sizes.



     Since the plants surveyed were purchased at different times, a standard



cost reference date of February, 1968 was chosen for this program.  All



local unit prices were corrected to the national average of February, 1968



prices, using the cost index of the Department of the Interior as found in




Engineering News Record magazine.



     In Table I, Location U, the design capacity rating ^5/70 means that the




unit has a design capacity of either k5 or 70 TPD depending on the diameter



of the firebrick.  The unit capacity can be upgraded to 70 TPD by removing




firebrick, thus increasing the bed diameter.




Equations Developed



     Equations were developed based on data gathered from the field and several



useful publications.  The data were plotted using various correlations  and




least square curves were plotted.  Equations were developed for the best




correlations found relating the variables.



                                 10

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ITEM
Purchase Date
Startup Date
Design Tons Dry
Ca0/Day
% Ca0 in Reactor
Product
Fuel Type
Number of Sludge
Feed Points
Type of Feed

1
Kimberly
Clark
Jan 63
Oct 6k
50
88
Wo. 6 Fuel
Oil
9
Pneumatic
TABLE I
FIELD DATA

2
Ann Arbor,
Mich.
1965
Feb 67
2k
—
No. k Fuel
Oil
6
Pneumatic
LOCATION
3
P. H.
Glatfelter
Nov 65
Nov 66
128
85
No. 6 Fuel
Oil
2k
—

k
S. D.
Warren
Feb 63
Dec 63
i+5/70
85
No. 6 Fuel
Oil
12
Pneumatic

5
Lansing,
Mich.
1953
195^
30
88-91.5
No. 6 Fuel
Oil
_
_
10
Lime Recovered
  % of Feed

Total System
  Cost, $               $200,000

Number of Bed
  Burners
Fluidizing Blower,
  HP
Fluidizing Blower,
  SCFM
Fluidizing Blower,
  inches H?0
Bed Temperatures,
  °F

Freeboard Tem-
  peratures, °F

Sludge Feed Point
  Distance above
  Grid, ft              1.5-2
Cooler Section
  Included                 No

Bed Warmup Time,
  hrs                      2k
                            90
                                     $575,000
12
12
125
k790
19U
1600
1650
100
2100
19^
1580
1^95
200
3800
166
1600
1550
300
10, 000
-
1650
1600
            1.5
            Yes
              Yes
            Yes
                                          8
                                          90
  8
Yes
                11

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     ITEM
                                    TABLE  I  (COM"D)

                                      FIELD DATA
                            LOCATION

                                3
Bed Cooling Rate

Major Problems
Inside Diameter
  of Calcining
  Section, ft

Inside Diameter
  of Freeboard
  Section, ft
Static Bed Depth,
  ft

Expanded Bed Depth,
  ft
Expanded Bed Free-
  board, ft

Total Installed HP
30°F/hr
Slaking
   8
25°F/hr
Slaking
Pellet trans-
fer to cooler.
Reactor scal-
ing
                8/10
Pellet trans-
fer to cooler.
Reactor scal-
ing
                    11
1U
6
9.8
15
Ul6
8.5
6
9.0
16.5
3^5
16.5
7
10.5
16.7
U65
-
7
10.0
16.7
101+8
-
7
10.5
_
l+6o
                                           12

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Sizing the Reactor

     A recalcination system is rated on its output  design capacity of Ca0.

For a given output design capacity (CAP),  the total dry solids which must be

handled by the system is

                    PDS  =  CAP (2000.)/  (x)(y)                            (l)

Note that there are 2000. pounds per ton.   The weight of Ca0 contained in one

pound of CaC0~ is termed x, and x = ^6/100 = 0.56.   The weight of CaC0   con-

tained in one pound of dry solids entering the reactor is defined as y and

this must be determined for the particular sludge being recalcined.  Field  data

obtained were for systems as small as PDS = UOOO.  Therefore, because of the

uncertainty of curves such as for 0HP and IHP, it was decided to limit the

lower limit of reliability of the data to PDS = lj-000.  Similarly,  since  no

fluidized bed reactor was found with a bed grid diameter (DGC) in  excess of

l6 feet (Kansas City fluidized bed incinerator),  this was taken  as the upper

limit of structural achievement using standard construction materials.*

     Figure 3 shows a plot of the net heat "input to the reactor  required in

excess of the endothermic heat of the CaC0  —*• Ca0 + C02 reaction.

     To obtain the net heat input (QCA0 = Btu/ton Ca0), the endothermic  heat

of the reaction (2.69 x 10  Btu/ton of Ca0) was subtracted from  the  total  gross

heat input to the reactor  (fuel, dried sludge and air preheat in cooler).   The

result shown in Figure 3 is

                    QCA0  =  5-0 x 106                                    (2)

To obtain the total net heat input to the reactor, the net heat  input  per  ton

of Ca0 is multiplied by the design Ca0 capacity of the reactor.

                    WMQN  =  QCA0  (CAP)                                  (3)

*Dorr-Oliver has informed the authors that they have industrial calciner
 units in operation with diameters  of 45 feet.


                                      13

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It 6 8 10 12 Ik 16 18 20 22 2h 26 28 3<
Pounds of Dry Solids/Hr x 10~3 = PDS
       Figure  3    NET BTU/TON Ca)6 VS POUNDS DRY SOLIDS/HE

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Then similarly
                    END0  =  2.69 x 1C6 (CAP)
and the gross heat input to the reactor is




                    SUMQ  =  SUMQW  +  EMD0                               (5)




     It is possible that more than one reactor may be needed for a given




installation.  This is because of the maximum sizing limit of l6 feet diameter




in the calcining grid section (DGC).  When the required recalcining capacity




exceeds the capacity of a reactor with DGC = 16 feet more than one reactor




is required for the installation.  This is handled by specifying a sufficient




number of reactors (ZIl) of equal calcining grid diameter (DGC), to handle




the required capacity.  Thus the net heat input to each reactor is




                    SUMQI  =  SUMQN/ZII                                   (6)





     Each reactor handling SUMQI will have a calcining grid cross-sectional




area (Figure 4) of




                    AGC  =  SUM£[/2l4-l, 000                                 (7)




The diameter of the calcining grid is




                    DGC  =  [U.O (AGC)/7r] ^                             (8)




with a maximum limit of DGC = 16.0 feet.





     The pounds of dry solids per hour which must be handled by each reactor




in the system is




                    ZI  =  PDS/ZII                                        (9)





     Since the feed material enters the reactor dry, because of the evaporation




process in the cage mill, the reactor calcining section cross-sectional area




does not vary vertically as does the fludized bed incinerator handling wet
                                      15

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   30


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               10
                     20
30
hO
50
60
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80
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                     Calcining Grid  Cross-Sectional Area -• ft  = AGC
         Figure U    DESIGN NET HEAT  INPUT  TO ffiD VS CALCINING GRID CROSS-SECTIONAL AREA

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sewage sludge.   Therefore




                    DFC  =  DGC                                           (10)




for the recalciner.





     Figure 5 shows the relationship determined for the freeboard  diameter




located above the cylindrical recalcining zone




                    DF0  =  (DGC - i.5)/o.U9                              (11)




The cross-sectional area of the freeboard zone is




                    AF0  =  TT (DF0)2/U.O                                  (12)





     The fluidized bed in a recalciner is composed of Ca0 pellets  too  large




to be carried into the freeboard by the exhaust gases and too small to be




dropped into the cooler section.





     The expanded volume (VE) of the fluidized bed in the recalcining  zone




of each reactor is (Figure 6)




                    VE  =  SUMQN/23,700                                   (13)




where SUMQN is changed to SUMQI when more than one reactor is used in  a  system.




Note that the least squares fit curve was not used for this relationship but




a slightly modified parallel line was used passing through the origin  (0,0).




This eliminated a negative net heat input at zero bed volume which is  physically




unreasonable.





     It has been found that the expanded fluidized bed volume in reactors  is




about 50$ greater than the static bed volume so




                    VS  =  VE/1.5                                         (1*0





     Field data obtained indicated an expanded bed depth (HE) of from  9  to




10.5 feet.  Most of the data showed a bed depth of 10 feet




                    HE  =  10.0                                           (15)
                                      17

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I •
(.,
                                                                  fDGC - 1.5 + —        DF0
                       0
2   U    6    8   10   12   lU  16   18   20   22  2k   26



     Inside Diameter in Freeboard above Calcining Section = DF0
                    Figure  5   INSIDE DIAMETER IN CALCINING SECTION VS INSIDE DIAMETER


                                IN FREEBOARD ABOVE CALCINING SECTION

-------
'
  30


  28


  26





  22


  20


   if.


  16
      I
     
-------
For 50$, bed expansion on fluidization the static bed depth is




                    HS  =  HE/1.5                                     (16)





     The following physical dimensions vere estimated as




                    HEXP  =0.5   '                                   (17)




                    HP    =  3.0                                      (18)




The height of the cooler section (HC)  did not vary significantly with unit




capacity and the relation




                    HC  =  8.5                                        (19)




was found to approximate most of the  data.





     Figure 7 shows the freeboard height to be closely approximated by




                    HF  =  16                                         (20)





     Summing the heights of the individual sections of the reactor, the




overall reactor height can be closely approximated by




                    0RH = HP + HC + HE + 0.5 + HF + HEXP              (21)




Note that the 0.5 feet added to the 0RH term represents the approximate




distance between the height of the expanded fludized bed (HE) and the




beginning of the transition section between the recalcining and freeboard




zones.





     Figure 8 shows the relationship between the number of feed points in




the reactor and the design dry solids feed rate to be




                    NFP  =  2.3 + 0.00087 (PDS)                       (22)




where PDS is changed to ZI when more  than one reactor is required in the




system.  This number must obviously be rounded-off to the nearest integer




value.
                                      20

-------
I,,
                         ;
4567        9   10
Expanded Bed Depth, ft = HE
                                                                           11   12

                         Figure 7    EXPANDED BED FREEBOARD VS EXPANDED BED DEPTH

-------
ro
ro
                  w

                  g
                 •I I
                 PM

                  iu
                  '!'

                   ,
                  I i
                  f




                  : i
                  V
2.3 + 0.00087 * PDS
                        0    2     U    6       10   12   lU   16    18   20    22   2U   26        30

                                    Pounds of Dry Solids/HE x 10"3 =  PDS
            Figure  8    NUMBER OF DEY SLUDGE FEED POINTS VS POUNDS  OF  DRY SOLIDS PER HOUR

-------
System Electrical Power





     The installed and operating horsepower for each reactor in the system




are plotted in Figure 9.  Least squares equations fitting the data almost




perfectly are




        HPIZI = 320.0 + 2.kk (ZI/1000) + 1.067 ((ZI/1000)2)           (23)




        0HPZI = 321.55 + 3.39 (ZI/1000) + 0.523 ((ZI/1000)2)          (2k)





     The total system installed and operating horsepower are given by




               HPI  =  HPIZI(ZII)                                     (25)




               0HP  =  0HPZI(ZII)                                     (26)




     Electrical power costs are given by




               CP = 0HP  (EPC) (0.7^6)  (PCTY)  (8760)                   (27)




where O.jk6 is the conversion factor for converting horsepower to kilowatts




and 8760 is the number of hours in 3&5 days or one year.





Lime Loss Rates





     Lime can be lost from the recalcining process by incomplete recovery in




the centrifuge, blowdown of  the recalciner CaO bed because  of impurities or




stack losses.  The sum of these losses is




               SLIM  =  CAP    ((PERW + DEWAL)/1(X>]  +WJ             (28)





     The reactor bed blowdown losses  (PERW) of Ca0 are required when inert




impurities build up in the system and affect  fluidization of the Ca0 bed in




the reactor and system performance.  No data  was available  on blowdown losses,




however, these losses should be very  small if essentially pure CaC0  (99$>+ is




fed).
                                       23

-------
10
I
                                  O    istalled HP = HPIZI
                                  O  Operating HP = OHPZI
                                                         HPIZI=  319.99  +  2.U39 (
                                       200
 iioo      600       800

Horsepower per Reactor
1000
1200
                                                    ZI
                                                    1000
                                 Figure  9     DESIGN CAPACITY VS  HORRRPOWRR

-------
     Dewatering losses (DEWAL) of Ca0 run in the range of 20$ (9).   This  is




a function of the dewatering device used.





     Stack losses (W) of Ca0 are very low in a recalcining system "because of




the multiple cyclone arrangement and high efficiency scrubber used.   Stack




losses at the one installation with data were 25 pounds of Ca0 per  day or




0.0001786 pounds Ca0 lost per pound Ca0 recovered.  Based on this it is




reasonable to assume that the stack losses on a recalciner are negligible.




For example, translating the above loss to yearly cost for lime at  $20/ton




gives $91-25/year.  Slaking losses do occur, but such data was not  available.





Ash





     The recalcination process will produce some inert ash material which




must be disposed of.  This will include Ca  (PO.  ) and other non-volatile materials.




For a reactor feed rate of PDS  (pounds of dry solids/hr) the reduction in solids




through the process will be caused by C0_ generated from the reaction




 (CaC0~	«- Ca0 + C0  ) and by Ca0 recovery from  the other solids by slaking.




The C0  generation rate from CaC0_ is




                     C02  =  2000  (CAP)  (UU/56)                         (29)




where the fraction  (M4/56) accounts for  the fact that there are hh pounds of




 C02 per 56 pounds of Ca0.





     Ash formed  from the fuel oil or natural gas used to supply heat to the




 reactor is negligible.  Therefore the total ash which must be handled  and




 disposed of  is



               PAPH  = PDS  - CAP(2000) -  C02 +  (w + PERW/100)(2000)(CAP)




                      - PDS(PVS)/100                                   (30)

-------
where CAP  (2000) is the Ca0 recovery rate and C0  is the gas generation rate



from the CaCJzL reaction to Ca0 + C0_.  The fourth term in Equation (30) is



the rate of Ca0 loss from the system which must be treated as ash and the



fifth term is the rate of combustion of the volatile solids fed to the



reactor in the dry solids.




Reactor Heat Balance




     The heat transferred to the fluidizing air from the pelletized lime in



the cooler section is



                    QAPR = CAP(2000)(.21?)(1650 - ^00)                (31)



This equation states that the Ca0 discharged through the reactor has a



specific heat of 0.21? Bbu/pound °P and is cooled from l650°F to ^00°F by



the fludizing air.  The fluidizing air is heated to approximately ^00°F



in the cooler.




     Each reactor requires heat from a fuel (usually number 6 fuel oil) to



recalcine the lime.  The heat from a fuel required by each reactor in the



system is



                    QF0  =  I SUMQ - QSL(PDS) - QAPR j /ZII             (32)
                            L.                        J


Thus the fuel must supply the gross heat required by each reactor in the



calcining zone less the heat rate supplied by the volatiles in the feed to



the reactor less the heat recovered by the fluidizing air in the cooler.




System Costs




     Electrical



     Electrical power costs are given by Equation (27).
                                     26

-------
     Fuel





     Fuel costs for each reactor in the system is given "by




                    CF0 = WF0(PCTY)(8760)(FC/10 )                     (33)




and fuel costs for the system of ZII reactors is




                    CF0I  =  CF0 (ZII)                                (3*0





Operating and Maintenance





     The yearly cost of operating labor per year is




                    CL = 0.25(CLR)(PCTY)(ZII)(8760)                   (35)




for the system.  This is based on observations of the operating procedure




used for both fluidized bed incinerators and recalciners.  The average




operator must be available at all times in case of emergencies.  However,




the operation of a fluidized bed system is almost completely automated.  Thus




an operator need only spend about one hour in every four operating hours




checking instrumentation and making minor adjustments.  The remainder of the




time the operator is available for other duty.  Equation (35) was developed




with the assumption that one operator per reactor is needed for 25$ of the




operating time.  It is entirely possible that one operator could handle four




reactors in a system unless an emergency arose in which case another man




would be required.  The optimum labor force for this type of equipment




should be one operator for every two to four reactors.  The operator should




be used for routine preventive maintenance in his spare time.  At least




one maintenance personnel should be used for each h to 8 reactors.  Eequired




yearly maintenance labor costs for the system (ZII reactors) are estimated  as




                    CLM  =  CIMR(PCTY)(876o)(ZIl)/8                   (36)
                                      27

-------
 Note  that  Equations  (35)  and  (3&) account for only the labor required to




 keep  the reactors running properly.  No attempt is made to estimate how




 efficiently personnel are used.  For example, if an operator is required for




 two hours per day it is assumed that he is doing other useful work during




 the remaining six hours and not charging idle time to the operating cost.




 If this is not true for a particular installation then these equations must




be modified to reflect the true labor situation.





     Maintenance on specialized equipment such as instrumentation will usually




be done by a service organization rather than plant personnel.  It is estimated




 that one man hour of service labor is required for every 150 hours of reactor




 operation.  Therefore the yearly system cost of maintenance service labor is




 estimated as




                    CLMA = CIMS(PCTY)(8760)(ZIl)/8                    (37)





     The cost of operating a recalcining system for one year is




                    C0  =  CL  +  CP  +  CF0I                         (38)





     Yearly maintenance costs for the recalcining system are




                    CM  =  CIM  +  CIMA  +  CER                       (39)




 where CER is the cost of equipment which must be replaced such as thermo-




 couples and other minor parts.  The cost of equipment replacement was low




 although costs were not available.  Therefore CER was assumed as $1 per




 day or CER = 365 (ZIl).





 Makeup Lime and Solids Disposal





     Without a recalcining system the yearly cost of new lime and the cost




 of solids disposal (CaC0._ plus other solids included in PDS) is
                                      28

-------
                    CLIME = (CCA0(CAP) + DC (PDS/2000))(PCTY)(8760)


     When a recalciner is used, the yearly cost of lime makeup to the  system

and ash disposal can be expressed as

                    CIMUV = (CSLIM + ASHDC)(PCTY) (8760)               (Hi)

where

                    CSLIM  =  SLIM (CCA0)

and

                    ASHDC  =  DC (PAPH)/2000


Equipment Capital Costs


     Figure 10 shows the cost relation developed from the available  field

data as

                    EC  =  0.0219  (SUMQN) + 37100.0                   (MO

where EC is the cost adjusted to February, 1968 dollars.  The cost adjustments

were made using the local Sewage Treatment Plant Cost Index of the Department

of the Interior and bringing the costs to local values for February, 1968.

Then the local values were adjusted to the national average values using the

respective Sewage Treatment Plant  Cost Index.


Installation and Consulting Fees


     Based on available information, an installation fee of 10$ must be

added to the equipment cost .  Also a consulting engineers fee of 10% of

the sum of the system equipment cost plus installation fee must also be
added  .  Therefore
                     CI  =   EC/10

                     CEF -   (EC  +  CI)/10
1.  Data from a  conversation with Mr.  Stewart Peterson, N.E. Region Program
    Director, FWPCA,  Boston, Mass.
                                       29

-------
(..)
 o

 II

I
o
• I
 :
               .*
               -8
               ! '
               n
               ' i
               i •
               d
 ;i,
 . I
 •I I
 >' >
1000

 900

 800

 700

 600

 500

 Uoo

 300

 200

 100

   '
                                            EC = 0.0219 (SUMQN)  + 37100.0
                                             Normal Price (quoted)
                                           -  Discount Price
                                                 1     I
                                   6    8   10    12    ih    16    18    20  22   2k    26    28    30   32
                                       System Net Input, Btu/hr  x 10~6 == SUMQN
                    Figure  10  CAPITAL EQUIPMENT COST YS  SYSTEM NET INPUT  TO BED
                    Equipment Cost adjusted  from purchase date and location  of  installation
                    to Feb., 1968 and national average  Sewage Treatment Plant Cost Index  of
                    the Department of the Interior.  This Index  is presented quarterly  in the
                    Engineering News-Record.

-------
and the total system capital cost is




                    TSC  =  EC + CEF                                  (U?)




in February, 1968 dollars.  This cost can be adjusted to any year by using




the national average Sewage Treatment Plant Construction Cost Index of




the Department of the Interior.  This index appears quarterly in the




Engineering News Record Magazine.





Total Cost of Maintenance and Operation





     The total yearly system maintenance and operating cost is




                    TCM0  =  CM  +  C0                                (kQ)




     The total yearly cost of maintenance, operation, lime makeup  and solid




waste (ash) disposal with a recalciner, from the inlet of the dewatering




device through the exhaust stack is




                    TCLIW  =  TCM0  +  CIMUW
                                      31

-------
                              COMPUTER PROGRAM






Li st ing erf Program





     The complete program developed for use as a subroutine is listed below




in Fortran IV.





Flow Chart





     The flow chart for the computer program developed is shown in Figure 11.
                                      32

-------
// FOR
*IDCS(CARD»1132PRINTER*
*LIST ALL
      REAL NFP
C      LI^E RECALCINATIOM  IM  FLUIDIZED BED REACTOR
   10 FO*MAT(1HO»'COSTS  DO  .NOT  INCLUDE BUILDINGS OR LAND REQUIKtD FOR
     1UIPYENT1)
  111 FORMAT!1HO,'COSTS  DO  NOT  INCLUDE LAND FOR STORAGE OF WASTES')
   11 FORMAT(2FJ0.4)
   12 FORMAT (1H<'.« SYSTEM  IS  TOO  SMALL TO BE ACCURATELY SIZED BY THIS

   13
   14
   15
  100
  110

  120



  130



  140

  150
FORMAT UH*»' CASE'»I3)
FORMAT(5Fi0.4>
FORMAT (1 HO • 8 ( 5F 16. 4 , / / , IX ) )
FORMAT) lHOt6Fl6. 4}
1=0
REAQ!2»14  )  X » Y » PCT Y . FC *EPC
READ(2»14  )  CLR»CLMR,CLMS»DC»PERW
READ(?.»14  )  CAP»QSL»YRS»CCAO»W
READ (2 .11  JDEWALtPvS
1 = 1+1
,VRITE(3»13 )I
ZII-1.
PI=3. 14159
POS=CAP*2000./( X*Y)
IF(ODS-4000. > 110. 120*120
WRITE(3»12 )
GO TO  180
SUMQN=QCAO*CAP
EMDQ= (?.69*io»**6)*CAp
SUMOI=SUWQN/ZII
AGC=SUMQ 1/24 1000.
DGC=(4.*AGC/PI )**.5
IF(DGC-16.) 150 » 153 » 140
ZI I=ZII+1.
GO TO  130
ZI=»DS/ZII
DFC=DGC
DFO= (DGC-1.5 J/.49
AFO= 'PI*OFO**2) /4.
VE=SUMQI/23700.
VS=VE/l-5
HE=10.
HS=HE/1.5
HFXP=.5
HP = 3.
HC=8.5
HF=16.
    FLOAT< I F IX ( 2. 3 + 0. 000 R7*Z I +0.5 00 001 ) )
le(NFP) 160*160.170
LIME
L I ME
EULIME
LIME
LIME
LIME
PRLIME
LIME
LIME
LIME
LIME
LIME
LIME
LIME
LIME
LIME
LIME
LIME
LIME
LIME
LIME
LI ME
LIME
LIME
LIME
LIME
LIME
LIME
LIME
LIME
LIME
LIME
LIME
LIME
. LIME
L I ME
L I ME
LIME
L I ME
L I ME
LIME
LIME
LIME
LIME
LI^-E
L I ME
LIME
LIME
LIME
LIME
1
2
3
4
5
6
7
a
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
2B
29
30
31
32
33
34
35
36
37
3d
39
40
41
42
43
44
45
46
47
48
49
50
                               33

-------
160 NFP»1.                                                            LIME  51
170 HPIZI=320.+2.439*CZI/1000.)+1.0665*(ZI/1000.)**2                  LIME  52
    OHPZI=321.6+3.39*(ZI/1000.)+0.523*(ZI/1000«)**2                   LIME  53
    HPI=HPIZI*ZII                                                     LIME  54
    OHP«OHPZI*ZII                                                     LIME  55
    CP=OHP*EPC*0.746*PCTY*8760.                                       LIME  56
    SLIM*CAP*«(PERW+DEWAL)/100, >+W)                                  LIME  57
    C02«2000.*CAP*44./56.                                             LIME  58
    PAPH=PDS-CAP*2000.-C02-MW+PERW/100.)*2000.*CAP-PDS*PVS/100.       LIME  59
    QAPR=CAP*2000.*.217*11650.-400.)                                  LIME  60
    QFO»(SUMQ-QSL*PDS-QAPR)/ZII                                       LIME  61
    CFO«QFO*PCTY*8760.*FC/10.**6                                      LIME  62
    CFOI«CFO*ZII                                                      LIME  63
    CL=.25*CLR*PCTY*ZII*8760.                                         LIME  64
    CLM*CLMR*PCTY*8760.*ZII/8t                                        LIME  65
    CLMA*CLMS*PCTY*8760.*ZII/150.                                     LIME  66
    CO=CL+CP+CFOI                                                     LIME  67
    CER«3o5.*ZII                                                      LIME  68
    CM=CLM+CLMA+CER                                                   LIME  69
    CLIMF=(CCAO*CAP+DC*PDS/2000«)*PCTY*8760.                          LIME  70
    ASHDC=DC*PAPH/2000,                                               LIME  71
    CSLIM=SLIM*CCAO                                                   LIME  72
    CLMUW=(CSLIM+ASHDC)*PCTY*8760.                                    LIME  73
    EC»0.0219*SUMQN+37100.                                            LIME  74
    CI=EC/10.                                                         LIME  75
    CFF=(EC+CI)/10«                                                   LIME  76
    TSC-EC+CI^CEF                                                     LIME  77
    TCMO«OH-CO                                                        LIME  78
    TCLIW=TCMO+CLMUW                                                  LIME  79
    WRITEOtlU )                                                      LIME  80
    WRITE(3.111)
     WRITE(3tl5 ) X»Y.PCTY»FC.EPC»CLR»CLMR»CLMS»DC»PERW»CAP»QSL»YRS»CCLIME  81
   1AO»PDS»ZIItSUMON»SUMQ»DGC*ZI»DFO»VE»ORH»NFP»HPIZI»OHPZI»C02»PAPH»ULIME  82
   2APR.QFOtCFO.CFOI»CP»CL»CLM,CLMA.CO.CER.EC»TSC.CM                  LIME  83
    WRITEJ3.16 ) CLIME.CLMUW.TCLIW.W.DEWAL.PVS                        LIME  84
ISO PAUSE 1111                                                        LIME  85
    CALL DATSWU.MORE)                                                 LIME  86
    GO TO (  100. 190),MORE                                            LIME  87
190 C*LL EXIT                                                         LIME  88
    END                                                               LIME  89

-------
                                       Read X,  Y, PCTY, FC,
                                       EPC, CLR, CLMR, CLMS,
                                       DC, PERW, CAP, QSL,
                                       YRS, CCA0, W, DEWAL,
                                       PVS
     ZI,  DFC, DF0,
     AF0, VE, VS, HE
     HS,  HEXP, HP, HC,
     HF,  0RH, NFP
HPIZI, 0HPI,  HPI,  0HP,  CP,
SLIM, C$2,  PAPH,  QAPB,  QF0,
CF0, CF0I,  CL,  CLM,  CLMA,
C0, CER, CM,  CLIME,  ASHDC,
CSLIM, CLMUW, EC,  CI,  CEF,
TSC, TCM0,  TCUW
I =
I +
1
                                      N. WRITE CASE I  f
                                          ZII,  PI,  PDS
                                                                ffiIIE TOO
                                                                 SMALL
                                                          1
                                                       flRITE
                                                  COSTS DO NOT INCLUDE
                                                  BUILDINGS OK LAND FOR
                                                  'EQUIPMENT
                                                  COSTS DO NOT INCLUDE
                                                  LAND FOB WASTE
                            Figure 11   FLOW CHART

                                         35

-------
How to Use Program





     Operation





     The operation of the computer program requires an input of four data




cards.  Samples of these data cards are shown in Figure 12.   Also data




switch k must be set OFF for normal machine exit and ON for  additional data




input (i.e.  cases 1,2,3, etc.).   Nothing else is required of the operator.




The input stream to be used is the material leaving the dewatering device but




with zero water content (since water is completely removed in the cage mill).





     The output data generated by the input data in Figure 12 is shown in




Figure 13.





     Reactor Sizing Limit





     As with any mechanical equipment there is a maximum tolerable size above




which a fluidized bed reactor cannot be economically constructed using standard




available materials.  The physical size and operating stress combine to make




this limit apparently a unit with a reactor calciner grid diameter of l6 feet.




This is based on observations of fluidized bed equipment installed at the




23 locations from which data were obtained in performances of FWPCA contract




14-12-^15.  If a larger than 16 feet diameter reactor is required a series




of reactors having equal diameters is selected by iteration in the program.




The number of equal diameter reactors selected per system is ZII.  The




capacity of each reactor in pounds of dry solids per hour is then




                    ZI  =  PDS/ZII





     The system cost curves are based on field data on equipment with feed capa-




cities from approximately ^000 to 25,000 pounds of dry solids per hour (Figure 8)
                                      36

-------
CARD #1 X, Y> PCTY, FC, EPC
CARD #2 CLR, CLMR, CIMS, DC, PERW
CARD #3 CAP, QSL, YRS, CCA0, W
CARD #k DEWAL, PVS
.156 .75 .25 i.20
2. 8.50 4. 5.
1
.1 500. 20. 29.
,01 10.




.06
10.
V*
.01

                                                                                             CARD #


                                                                                       CASE 1


                                                                                       CASE  1


                                                                                       CASE  1  "   3


                                                                                       CASE  1 "   **•
0 0 11 0 00 00 0 0 0 0 0  00 00 0 0 0 D 0 00000 0 0 009000 000 0 0 0000tOO 0 0 0 03 BOO 0 00 0 000000 0 0 0 09000 0 0 0 00
1 2 ' 4 S 5 ' ' ' 10 » "i>iiii]inin11i111in11 11 11 i n 11 111 i i i 111 i 11 11 i n i 11 i 1111 j i i 11 i i i


2222222222222222222 2 2222222222222222222? 222222222222222222222222222222222222 2222


33333333333333  3333333333333333333333333333333333333333333333333333333333333333
  CASE  1

2

.S6
-
i
1.

.01
.75
2.50

500.
10,
.25
4.

20.

1.26
5".

20.

.06
10.
^
.01

                                                                                              CARD #


                                                                                     j CASE 2      -j^


                                                                                       CASE 2.      2


                                                                                        CASE 2      3


                                                                                        CASE 2 '     1+
0 0 0 9 0 0 ' 0 0 0 0 0 0 0 ' 0 0 0 0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 D 0 G 0 H 0 0 0 0 0 D 0 0 0 0 0 0 0 0 0 0 0 0 0
1 2 3 4 5 S / « 9 10 II 12 13 14 15 15 1) II 13 !0 II !! 23 !4 25 26 27 21 29 30 31 32 33 34 35 36 37 a 39 40 II 42 43 44 45 »6 47 49 40 50 51 52 53 54 55 5F 57 58 59 SO SI (2 83 64 55 SS 6) 68 69 JO II 11 73 7< 75 76 7! 78 79 TO

1 11 1 1 1 1 " 1 1 1 1 i * 1 1 1 11 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 I I 1 1 1 1 1 1 1 1 1 1 1 1 H I 1 1 1 1 1 1 1 I 1 I 1 1 1 1 I II 11 1 1 1 1 1 1


22222222222222222222222222222222222222222222222222222222222222222222222222222222


3 3 3 3 3 ' 3 3 3 3 3 3 3 3 3  ' 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 I 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
   CASE 2.
                             Figure  12  SAMPLE INPUT DATA CARDS
                                                 37

-------
      CASE  1



      SYSTEM IS TOO SMALL  TO  BE  ACCURATELY  SIZED BY THIS PROGRAM
     CASE   2



    COSTS  DO  NOT  INCLUDE BUILDINGS OK LAND REQUIRED FOR EQUIPMENT




    COSTS  DO  NOT  INCLUDE LAND FOR STORAGE OF WASTES
u>
oo
    0.5600




    2.0000




    1.0000




    1.0000



    7.4278




  349.6022




12526.4804




   58.4000






1107.7751




69871. 437*'
      0.7500




      2.5000




    500.0000




5000001.0136



    210.9704




   1571.4287




  12526*4804




  47891.0157











   9937.5898
      0.2500




      4.0000




     20.0000




7690000.0117



     38.5000




    934.2852




  34269.5391




    365.0000











  58936.3750
     1.2000




     5.0000




    20.0000




     5.1396



     6.0000




542500.0014




  1095.0002




146600.0004










     0.0100
      0.0600




     10.0000




   4761.9052




   4761.9052



    355.7979




4766547.0136




    684.3751




 177385.9691











      0.0100
                                                                                               10.0000
                Figure 13  OUTPUT DATA GENERATED FROM INPUT DATA SHOWN ON FIGURE 12

-------
Accuracy of the relationships developed is uncertain beyond these limits.   It



is estimated that reasonable approximations can be attained at higher capacities




since the reactors are limited to 16 feet calciner grid diameter and systems



are built in multiples of similar reactors.





     Figure Ik shows a plot of the capital cost of the recalcination system



in Feb. 68 dollars versus system capacity.
                                      39

-------
                     150
!
                 I':
m

 ;
'

 :
•i i


i
-
(
i.,
'. "
 •
' <
                               System Cost vs  Capacity

                                             Lbs  CaC0
                          "Assumed Y -  0.75
                                           Lb  dry  solids
                                                                  Note:  The range of field

                                                                  data obtained is from

                                                                  to 25,000 pounds of dry

                                                                  solids per hour assuming

                                                                  Y = 0.75.
                                      6        10  12   lU   16   18  20   22   2U  26        30

                                             Cost in Millions of Dollars


                              Figure lU  SYSTEM COST IE MILLIONS OF DOLLARS VS CAPACITY

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                       CONCLUSIONS AND RECOMMENDATIONS






Performance of the System





     In general, personnel at the installations surveyed were pleased with




the performance of the fluidized bed recalcination system.   The users of




this equipment are mainly concerned with operating cost ($/ton Ca0)  as




compared to the cost of makeup lime delivered to the storage bins.   There




are indications that with the current design practice fluidized "bed  recal-




ciners can be operated at about k-0% over design ratings.





     No fluidized bed recalciners are presently being used for lime  recovery




at sewage treatment plants.  It may be possible to recover lime by recalcina-




tion in the same reactor used to incinerate the primary sludge.  If  so a




dual purpose incineration-recalcination process would greatly reduce the




recalcination costs.  Experience at Blue Plains with a multiple hearth




recalciner indicates that only recalcination of relatively pure CaC0,j can




be achieved.  Quite possibly this will be true for the fluidized bed process.




Then lime recovery from CaC0^ will be limited to the tertiary process. The




computer program developed will adequately size and cost the fluidized bed




system required for primary or tertiary lime recalcination provided  a Ca0




pelletized bed is used in the reactor and the equipment is similar to that




upon which the model is based.





     Since there were no fluidized bed recalciners in operation at sewage




plants information on lime loss rates from such a system were not available.




Based on the survey information the lime loss rate in the dewatering process

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 is (DEWAL). 20$.  The lime loss rate  caused by required bed blowdown (PERW)




 to remove  lumps of impurities from the bed is roughly estimated to be in




 the range  of less than 1% for relatively pure CaC0.-, feed.  It should be higher




 for impure  CaCjZL feed.   Stack losses  (w) are negligible because gas cyclone




 and scrubber efficiencies are very high (99+%).





      Slaking difficulties were encountered at some plants because of slaking




"being attempted at too  low a  temperature.





Factors to be Considered





      For a  fluidized bed recalciner,  the cost of operating and maintenance labor




varies depending on the situation.  In some cases permanent operators and




maintenance  personnel are assigned on the basis of peak work loads rather




 than  normal work loads.  In general,  two man-hours per day should be sufficient




 to  operate  each recalciner.   When problems occur, men must be available to




 correct them.   Thus if  a man  is used  to operate a system only part-time, he




 and other personnel must be available on short notice to tend to any mal-




 function and maintenance problems of  the reactor system.





      The recalcination  system with the cost of land for the system and related




 disposal areas, buildings to  house equipment, lime makeup, operation and main-




 tenance must "be weighed against a non-recalcining installation with greater




 lime  makeup costs, larger storage areas for makeup lime and CaC0_, and greater




 solids disposal costs.





      The efficiency of  combustion equipment will vary depending on how it is




 operated.   The computer program developed assumes that near-optimum performance.

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will be maintained.  Excess air, bed conditions, pelletizing efficiency




(i.e., soda ash concentration in bed), and use of waste heat in cooler or




pub mill will play important parts in the operating efficiency.  Optimum




efficiency is seven to eight million Btu's per ton of recalcined Ca0.





     In the installations surveyed, the capital costs of buildings,  equipment,




land and taxes were apparently neglected (or unimportant because of tax




depreciation or other reasons).  In general, the volume of the building




required to house a fluidized bed recalcination system is roughly four times




the volume of the reactor alone.  A clearance of about ten feet is allowed




both above and below the reactor.





Equipment Design





     The system analyzed in this program includes a pellet cooler below the




calcining zone.  All fluidized bed recalcination systems should have such a




cooler because:




     l)   the heat removal from the pellets is required so they can be




          handled and stored for reuse,




     2)   the heat removed from the pellets would otherwise be wasted




          if it were not used to preheat the fluidizing air and reduce




          fuel  costs.





     Care should be taken in design of the slaking process to insure that




sufficiently high slaking temperatures are provided.  This can be accomplished




by using the heat from the hot exhaust gases leaving the reactor at about




1600°F.  These gases are quenched with air or water to 1000°F before entering




the cage mill.  It would be wise to use the wasted heat for slaking or some




other function such as fluidizing air preheat after the cooler section.

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                                BIBLIOGRAPHY


 1.   Graham, R. E.,  "Lime Recalcining at Alvarado Lick  Sludge  Disposal Problem",
      Water Works Engineering, July, 19^2, p. 571.

 2.   Crow, W. B., "Techniques and Economics of Calcining Softening Sludges",
      Journal of AWWA, March, 1960, p. 322.

 3.   Mahlie, W. S.,  "Use and Handling of Lime in Water  and Waste  Treatment",
      Public Works, Nov., 19^3, p. 96.

 k.   Bauer, W.  G., "Fluidization - Multipurpose Process Tool",  Pit and Quarry,
      June, 1965, p. 6ij-.

 5.   Lee, B. S. et. al., "Kinetics of Particle Growth in a Fluidized Calciner",
      A.I.Ch.E.  Journal, Vol. 8, No. 1, March, 1962, p.  53-

 6.   Grimmet, E. S., "Kinetics of Particle Growth in  the Fluidized Bed Calcin-
      ation Process", A.E.Ch.E. Journal, Vol. 10, No.  5, Sept.,  19^,  p. 717-

 7.   Trauffer,  W. E., "Florida's New 200 TPD Lime Plant", Pit  and Quarry,  May,
      1962, p. 126.

 8.   Brandt, W. M. et. al., "The Fluidized Solids Lime  Process",  Tappi,
      Vol. 1+7, No. 5, May 196U, p. 137A.

 9.   Herod, B.  C., "Lime Reclaiming Plant Utilizes Fluidizing  Techniques",
      Pit and Quarry, Oct., 1958, p. 120.

10.   "Chemical Lime's Fluidized Solids Calcining Plant  One Year Later", Pit and
      Quarry, May, 1963, p. 122.

11.   Haltz, H.  J. et. al., "First Fluidized Solids Lime Mud Recovery System in
      a Paper Mill",  Pit and Quarry, May, 196U, p. 116.

12.   King, D. L., "Calcining Phosphate Rock", Chemical  Engineering Progress,
      Vol. 55, No. 12, Dec., 1959, P- 77.

13.   Cooper, E. D. et. al., "Pilot — and Plant Scale Fluidized Bed Calciners",
      Chemical Engineering Progress, Vol. 6l, No. 7,  July, 19^5, p. 89.

1^.   Stuart, H. H. and Bailey, R. E., "Performance Study of a  Lime Kiln and
      Scrubber Installation", Tappi, Vol. U8, No. 5,  May 1965,  p.  1014-A.

15.   Hannan, P. J..  "A Flash Drying System for Lime  Mud", Tappi,  Vol. ^7,  No. 2,
      February,  1964, p. 162A.

16.   Hotz, H. J. et. al., "Fluidized Solids Lime Mud Recovery  at S. D. Warren Co.",
      Tappir, Vol. Vf, No. 11, Nov., 196U, p.
17.   Moran, J. S. and Wall, C. J.,  "Operating  Parameters of Fluidized Bed
      Lime Mud Returning System", Tappi, Vol. ^9,  No.  3,  p.  89A,

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18.   Lindsay, G. C.,  "New Florida  Plant  Boils Lime",  Rock Products.  April.
      1962, p. 83.

19.   Ironman, R., "Fluidization  -  Dominant  Trend in Today's European Lime
      Industry", Rock  Products Mining  and Processing,  March, 196*1,  p. 95.

20.   Preistly, R. J.,  "How Good  is the Fluosolids Reactor", Rock Products,
      July, 1965, p. 72.

21.   "Use of Fluosolids Kilns Increasing" C and FN,  Oct.,  21,  1963,  p.  56.

22.   "I&EC Reports and Comments, New  Application for Fluidized Calciners",
      Industrial and Engineering  Chemistry,  Vol.  56,  No.  9,  Sept.,  196k, p.  9.

23.  "Uses Expanded for Fluosolids  System",  C & EN,  July 26, 1965,  p. k3.

2k.   Havighorst, C. R., "Improved  Fluid  Bed Calcination Hikes  Lime Production",
      Chemical Engineering, October 26, 196*4-,  p.  10*4-.

25.   "Fluidized-Bed Furnaces", Chemical  Engineering,  April 11,  1966, p. 171.

26.   Herod, B. C., "Lime Industry  Pacesetter Takes Another Impressive Step
      Forward", Pit and Quarry, November,  1963,  p. 87.

27.   Herod, B. C., "Oxford Paper Company Now Reclaims up to 90 percent of
      Progress Lime with 150 TPD.   Calciner  at Rumford,  Maine",  Pit and Quarry,
      August, 1963, P. 105.

28.   "Onoda Cement Company's Lime  Calcination Process in Cement Manufacture",
      Pit and Quarry,  July, 1965, p. 185.

29.   Herod, B. C., "Lime Produced,  Recovered in City of Dayton's New Calcinating
      Plant", Pit and  Quarry, May 1956, p. 128.

30.   Boynton, R. S.,  "European Lime Manufacture", Pit and Quarry,  May,  I960, p.  12*4-.

31.   Levine, S., "Unique Calciner  Breaks  all the Rules", Rock  Products, Dec. 1963,
      p. 50.

32.   "Reclaiming Lime in Caustic Production",  Automation,  Nov., 1962, p.  76.

33.   Huttl, J. B., "Kennecott Adds Unique Lime Plant to Hayden Reduction  Works",
      E & MJ, Vol. 163, No. 11, p.  9**.

3*4-.   Beeken, D. ¥., "Fluidized Bed Techniques:   Inception,  Growth and Future
      Prospects", The  Industrial  Chemist,  June,  1958,  p.  329-

35.   Scott, J. C., "Ann Arbor's  Recalcining Process and Problems",  AWWA Journal,
      June, 1969, p. 285.

36.   Albertson, 0. E., "Disposal of Waste Material by Combustion in an Inert
      Fluidized Bed",  Filed March 31,  196*4-,  Released May 16, 1967,  U. S. Patent
      No. 3,319,587.


                                       *t-5

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                                TERMINOLOGY
AFC


AGC


AF0


ASHDC

CAP


CCA0

CEF


CER


CF0


CF0I


CI

CL



CLIME


CLIMR


CLM


CLMA
Cross-sectional area of grid in calciner of each reactor,
ft2

Cross-sectional area of freeboard in calciner of each
reactor, ft2

Cross-sectional area of freeboard zone above calcining section
in each reactor, ft2

Total system ash disposal cost, current $/hr

System calcining design capacity (all reactors combined),
tons CaO/hr

Cost/ton lime delivered to location, current $/ton

Consulting engineers fee for total recalcining system,
Feb. 1968 $

Yearly cost of maintenance for total recalcining system,
current $/yr

Cost of fuel for operation of each reactor over a one-year
period, current $

Cost of fuel for operation of all reactors (ZIl) in system
handling PDS over one-year period,  current $

Installation cost for total system less building, Feb. 1968 $

Cost of operating labor per year for total recalcining system,
each reactor requires separate operator for 1 hr in each h hrs
of operation, $/yr

Total yearly purchased and disposal cost of new lime and other
process solids, current $/yr without recalciner

Total yearly purchased lime and disposal cost of recalcination
waste products for plant with recalciner, current $/yr

Yearly cost of maintenance labor for total system, each reactor
requires 1 hr in 8 hrs of operation, current $/yr

Yearly cost of maintenance service labor for total system,
current $/yr
CLMR
Cost of maintenance labor rate, current $/man hr

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cms

CIMUW


CM


C0

C02


CP


CLR

CSLIM


DC


DEWAL


DFC

DF0


EC



END0


EPC

FC

HC

HE

HEXP
Cost of maintenance service labor rate, current $/man hr

Cost of lime makeup and solids disposal with recalciner,
current $/yr

Yearly cost of maintenance for total recalcining system,
current $/yr

Yearly cost of operation of total system, current $/yr

Carbon dioxide liberated in reaction of CaC0      Ca0 +
C0p for total system capacity, pounds/hr

Yearly cost of electrical power for total recalcining
system, current $/yr

Cost of operating labor, current $/man hr

Cost of lime lost from system be dewatering, blowdown of
bed and stack losses, current $/hr

Disposal cost of solid wastes for removal from plant site,
current $/ton

Percent of lime lost in dewatering process, 100 (#Ca0 lost)
per $ CaO recovered

Freeboard diameter in calciner of each reactor, ft

Diameter of Freeboard zone above calcining  section in each
reactor, ft

Total system capital equipment cost for equipment from and
including dewatering device to stack inlet not including land
and buildings required, Feb. 1968 $

Endothermic heat of reaction (CaC0    Ca0 + C0 ), (total for
all reactors in system), Btu/hr

Electrical power cost, current $/KW hr

Fuel cost per million Btu1 s, current $

Height of cooler section in each reactor, ft

Depth of expanded fluidized bed in each reactor, ft

Height of expansion section between calcining and freeboard
zone in each reactor, ft
HF
Height of freeboard above calcining section in each reactor, ft

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HP

HPT

HPIZI

HS

NFP


0HP

0HPZI

0KH

PAPH


PCTY
PCS


PERW


PVS


QAPR



QCA0


QF0

QSL


SLIM


SUMQ
Height of air distribution plenum in each reactor,  ft

Installed HP in total system HP

Installed HP per reactor, HP

Static depth of fluidized bed in each reactor,  ft

Number of points at which Ca0 sludge is fed into the
fluidized bed in each reactor, dimensionless

Operating HP in total system, HP

Operating HP per reactor, HP

Overall height of each reactor, ft

Pounds ash per hour, as calcium phosphate and other wastes
from total system, pounds/hr

Fraction of year, week of month to be operated, hrs
operated/hrs in year (total hours, not work hours);
i.e., continuous operation for one year is for
8760 hrs/yr.  For 1/2 time, PCTY = .5 and operating
time = ^380 hrs/yr.

Total design pounds of dry solids per hour fed to all
reactors in system, pounds/hr

Percent of lime lost in blowdown for periodic removal of
inerts in all recalciners, 100(#Ca0 lost)/#Ca0 recovered.

Percent volatile solids in sludge, 100(pound VS)/pounds
dry solids

Total heat supplied to calcining process through air
preheating in the cooler/coolers section(s) of all
reactors combined, Btu/hr

Gross heat minus endothermic heat of Ca0 required per ton
of CaO produced, Btu/ton Ca0

Heat required from fuel in each reactor of system, Btu/hr

Sludge heat input  (lower heating value), Btu/pound of dry
solids

Lime lost from system by dewatering, blowdown of bed and stack
losses, tons/hr

Gross heat input to fluidized bed for all reactors combined
in system considered, Btu/hr

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SUMQI     =    Design net heat input to each recalciner in system,
               Btu/hr

SUMQN     =    Net heat input to adiabatic fluidized "bed  (total for all
               reactors in system), gross heat minus endothermic heat of
               reaction, Btu/hr

TCLIW     =    Total yearly cost of operation, maintenance, lime makeup
               and solids disposal with recalciner, from  inlet to centrifuge
               or vacuum filter, current $/yr

TCM0      =    Total yearly system operating and maintenance  cost, current $/yr

TSC       =    Total system cost including installation and consultants fees
               less "building and land, Feb. 1968 $
                                                                   3
VE        =    Expanded volume of fluidized bed in  each reactor, ft
                                                       •3
VS        =    Static volume of each fluidized bed, ft

¥         =    Pounds of Ca0 lost through  stack per pound Ca0 recovered

X         -    Pounds Ca0 per pound CaC0.~  in feed to reactors =0.^6

Y         =    Pounds CaC0_ per pound  dry  solids in feed  to reactors

YES       =    Estimated operating life of recalciner, yrs

ZI        =    Design pounds of dry  solids per hour each  recalciner in the
               system handles, pounds/hr

ZII       =    Number of recalciners  in  system required  to handle  the design
               sludge capacity
                                                 ft U. S. GOVERNMENT PRINTING OFFICE ; 1970 O - 408-942

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