United States
                    Environmental Protection
                    Agency
Air and Energy Engineering
Research Laboratory
Research Triangle Park NC 27711
                    Research and Development
EPA/600/S7-85/038 Feb. 1986
H
SER&          Project  Summary
                    Modeling  of S02  Removal   in
                    Spray-Dryer  Flue-Gas
                    Desulfurization  System
                    Ashok S. Damle
                     This report presents a comprehen-
                    sive mathematical model of the SO2 re-
                    moval process in a spray-dryer flue-gas
                    desulfurization system. Simultaneous
                    evaporation of a sorbent droplet and
                    absorption/reaction of SO2 in the
                    droplet are described by the corre-
                    sponding  heat- and mass-transfer rate
                    relations.  Dissolution kinetics of lime
                    particles within a slurry droplet is in-
                    cluded in  determining the overall SO2
                    removal rate. The model identifies sev-
                    eral important parameters which need
                    to be estimated or determined from ex-
                    perimental data. This report also in-
                    cludes  a  computer  program,
                    "SPRAYMOD,"  written in Basic lan-
                    guage, to predict SO2 removal in a
                    spray dryer,  based on the model devel-
                    oped. The program is user oriented and
                    easy to use. The contribution of particu-
                    late collection equipment, a baghouse
                    and an electrostatic precipitator, to-
                    ward overall S02 removal is also
                    discussed.
                     This Project Summary was devel-
                    oped by EPA's Air and Energy Engineer-
                    ing Research Laboratory, Research Tri-
                    angle Park, NC, to announce key
                    findings of the research project that is
                    fully documented in a separate report
                    of the same title (see Project Report
                    ordering information at back).

                    Introduction
                     Spray-drying technology for S02 ab-
                    sorption/removal from flue gases has
                    been advanced for the past few years. In
                    spite of a large  amount of pilot-plant
                    testing and a few full-scale commercial
                    applications, however, there is still a
                    lack of comprehensive predictive mod-
eling of this process. A review of quali-
tative mechanisms so far proposed was
published recently. Semi-empirical rela-
tionships have been developed  to re-
lated S02 removal efficiency of the
spray-dryer system with stoichiometric
ratio and approach to saturation. Such
relationships, due to the empirical
parameters, tend to be specific for the
spray-dryer system used to obtain
them.
  This report presents a simple mathe-
matical model describing various proc-
esses occurring in a spray-dryer flue-
gas desulfurization (FGD) system. The
overall process is subdivided into sub-
processes contributing to SO2 removal.
Various parameters required for such a
model are identified. An overall qualita-
tive picture is first described, followed
by modeling of the subprocesses.

Overall Process
  In a spray-dryer S02 removal system,
a conventional spray dryer is typically
used to contact SO2-laden flue gas with
spray droplets of a slurry or a solution
of a suitable sorbent. Figure 1 is a typi-
cal schematic of a spray-dryer system.
Rotary or pneumatic atomizers are used
to inject the sorbent slurry/solution. The
amount of sorbent added depends on
the stoichiometric ratio to be used and
the  inlet flue-gas SO2 concentration.
The amount of water added to the sys-
tem is controlled by inlet flue-gas tem-
perature and humidity,  and the desired
approach to saturation at  the spray-
dryer outlet. The sorbent may be intro-
duced as a slurry or solution, depending
on the sorbent solubility in water. Lime
slurry is typically prepared in a slaker to

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      Flue Gas
                                                            Clean Gas to Stack
    Makeup Water
  Water
Fresh Sorbent
                          Spray
                          Dryer
                                     Flue Gas
                                                         Paniculate
                                                         Collection
                                                         Equipment
                             Solids
                                         Solids Disposal
                                            System
                             Recycle
                      Discharge of
                      Solids
                                                              Recycle
             Sorbent
           Preparation
             System
     Recycle Solids
      Preparation
Figure 1.    Simplified flow diagram of a spray-dryer FGD system.
obtain a slurry of fine-grained lime par-
ticles. The flue-gas residence time is
typically about 10 seconds. After  the
spray dryer, the flue gases, along with
flyash and dried sorbent/product parti-
cles, pass through  particulate control
equipment, such as a baghouse or an
electrostatic precipitator (ESP). Some
particulate may also be collected in the
spray dryer itself.
  In the spray chamber, two processes
occur simultaneously: water evapo-
rates from the droplet; and S02 is ab-
sorbed in, and reacts with, the alkaline
sorbent. The flue gas is typically humid-
ified adiabatically to within 10 to 35°C of
its saturation temperature. The amount
of water evaporated from a droplet is
determined by the operating conditions
of the dryer-inlet gas temperature, inlet
gas relative humidity, approach to satu-
ration temperature, and corresponding
equilibrium moisture content of  the
solid. S02 may be removed by the sor-
bent both during and after drying of
droplets. Spray-dryer  operation nearer
to flue-gas  saturation  condition and
higher stoichiometric ratios improves
S02 removal efficiencies. S02  removal
may continue through  the particulate
collection equipment as gas passes
through filter cake in  the baghouse or
over  the deposits on  the collection
plates of an ESP. A portion of the waste
particulate discharge from  the spray
dryer and the particulate collection de-
vice may be recycled into the spray
dryer's feed slurry to  increase sorbent
utilization.
  Although droplet evaporation and
S02 absorption occur simultaneously,
the droplet drying process is more or
less independent of the S02 absorption
process. On the other hand, the S02 ab-
sorption/reaction process is strongly re-
lated to the drying process and droplet
moisture content.
Drying of Droplets
  The  drying behavior of a  slurry
droplet with freely moving sorbent par-
ticles is similar  to that of a solution
droplet. In line with conventional drying
theory, the evaporation from a  slurry-
solution  droplet proceeds  in  two
stages: (1) the rate of evaporation is de-
termined solely by the resistance of the
gas film surrounding the droplet to the
transfer of water vapor (this stage  con-
tinues  until the droplet moisture level
falls below a critical moisture content);
and (2) the solid's concentration re-
duces the rate of drying since the mois-
ture must diffuse through the solid ma-
trix. During stage (2), there is a change
from water as a continuous phase, as
initially in the droplet, to the solid ma-
trix as a continuous phase. The drying
continues until  the droplet moisture
content reaches an equilibrium with the
surrounding gas atmosphere.
Constant Rate of Drying Period
  The rate of droplet drying in this pe-
riod is determined by the simultaneous
heat transfer from the gas phase to the
droplet and water vapor transfer from
the droplet to the gas phase. The heat
and mass transfer processes between a
droplet and surrounding gas phase
have been studied extensively. The re-
spective gas-phase transfer coefficients
may be determined by widely used em-
pirical correlations.  These correlations
take into account the effect of relative
velocity between the droplet and sur-
rounding gas phase.  For  droplets
smaller than 100 M.ITI, the relative veloc-
ity may be ignored, which leads to sim-
plified transfer coefficient correlations.
The effect of water evaporation on the
heat and mass transfer  rates may also
be  taken  into account  by a rigorous
analysis  for a quiescent droplet-gas
system.

Falling Rate of Drying Period
  The constant rate-drying process con-
tinues until the moisture content of the
droplet falls below  a critical moisture
content at which  point the solid's con-
centration begins to  influence the dry-
ing rate. Critical moisture content of the
droplet depends on its  solid's proper-
ties; e.g., hygroscopicity. The  critical
moisture content may be considered as
that at which the solid particles begin to
touch each other and form a continuous
phase. The drop diameter then does not
change significantly during further dry-
ing. This period continues  until  the
moisture content  reaches  an  equi-
librium value.
  In this period, drying is controlled by
diffusion of moisture through the solid
matrix.  The drying rate may  be as-
sumed to fall linearly between the criti-
cal  and equilibrium  moisture contents.
The parameters, critical and equilibrium
moisture contents,  depend on  the
solid's contents  and their properties
and must be determined experimen-
tally. For given solids, the equilibrium
moisture content varies linearly with re-
spect to  relative  humidity of the sur-
rounding gas phase.

SO2 Absorption/Reaction in
Spray Dryer
  Absorption and reaction of SO2 in  a
sorbent droplet occur both before and
after drying of the  droplet  up to an
equilibrium-moisture content. Presence
of  moisture during the wet-droplet
stage  is  important: it provides an

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aqueous medium  for absorption and
fast ionic reaction  of S02. The lack of
moisture in the dry-particle stage con-
siderably reduces  the rate of SO2 re-
moval because absorption and reaction
in the solid  phase are slower. This is
especially true for the lime  sorbent
which has a low reactivity in the solid
phase. The mechanisms of S02 removal
in the two stages are distinctly different
and,  therefore,  are considered
separately.

Wet-Particle Stage
  During the wet stage, moisture in the
droplet participates actively in the over-
all S02 removal process. S02  is trans-
ported from the bulk-gas phase to the
droplet surface by  the gas-phase diffu-
sion  process. The dissolved S02 mi-
grates from the interface to the interior
of the droplet by liquid-phase diffusion
and reacts with the dissolved sorbent. If
a sparingly soluble sorbent (e.g., lime)
is used, dissolution of the sorbent also
becomes important. If the ionic reaction
between the  sorbent and S02 is very
fast, both species may migrate to a reac-
tion plane or zone  in the bulk liquid as
shown in Figure 2. The dissolution proc-
ess will not be present with a  highly sol-
uble sorbent, but  the overall  process
may still be represented by Figure 2 by
replacing the equilibrium-solubility sor-
bent concentration by the bulk liquid-
phase sorbent concentration.
  S02 removal during the wet stage by
the above mechanism  continues until
the moisture content in the droplet falls
to the equilibrium moisture content.
                               Droplet
                               Surface
   . so2
         Bulk Gas
          Phase
After that, the droplet  may be consid-
ered a dry-porous solid to determine
further SO2 removal. Steps involved in
the removal of SC>2 during a wet-droplet
stage are:
  1. Transfer of S02 from the bulk-gas
     phase to the droplet/particle sur-
     face. The  rate  of  transfer in this
     step is controlled by the resistance
     of a gas film around the droplet.
  2. Dissolution of S02 into the liquid
     phase in the droplet, and transfer
     of dissolved S02 from the droplet
     surface to the interior liquid. The
     transfer  rate is  controlled  by the
     liquid-film resistance.
  3. Dissolution of lime into the liquid
     phase.
  4. Ionic reaction between dissolved
     SO2 and the dissolved sorbent in
     the liquid phase.
  5. Transfer of  reaction products to
     precipitation states.
  In the initial constant-rate drying
stage, water is the continuous phase in
the droplet with the suspended sorbent
particles free to move within the drop-
let. In such a situation, the resistance
offered by precipitation of the reaction
products may  be ignored. Also,  the
ionic reactions are very fast and may be
considered to be not  controlling  the
overall rate of S02 removal.

Gas-Film Resistance
  Diffusion of SO2 from the  bulk-gas
phase to the droplet surface is similar to
water evaporation from the droplet sur-
face, and similar  correlations apply to
determine the gas-phase mass transfer
coefficient. Evaporation of water has a
                                                                Lime Particle
                                                                  Surface
                      Gas Film               Liquid Film

Figure 2.    Schematic of SOz absorption/reaction in a wet droplet.
strong inhibiting effect on S02 transfer
and may be taken into account by a rig-
orous analysis for a quiescent droplet-
air system. The  rate of S02 transfer
based  on gas-phase mass-transfer re-
sistance alone depends strongly on the
S02  concentration in the  bulk-gas
phase.


Liquid-Film Resistance
  No good correlations are available to
estimate  the liquid-phase resistance in
the droplet to the mass transfer; how-
ever, an  order of magnitude estimate
may  be obtained. The enhancement of
this liquid-film mass-transfer coefficient
should be  considered  because of the
very fast  reaction of dissolved S02 with
dissolved lime in the bulk liquid. The
liquid-phase mass-transfer coefficient,
after considering this enhancement, is
about two orders of magnitude greater
than the corresponding  gas-phase
mass-transfer coefficient. Therefore, the
liquid-phase resistance may be ignored
in model simulations.

Dissolution of Sorbent
  This step is obviously required only
for sorbents (e.g., lime) which are spar-
ingly soluble in water. The rate of lime
dissolution may be estimated based on
the solubility of lime in water, diffusivity
of lime in water, and  a  mean distance
between sorbent particles. For fast reac-
tion between dissolved S02 and lime,
the bulk  liquid-phase lime concentra-
tion may be assumed to be zero. The
interparticle distance depends on the
sorbent  particle  size  and the slurry
concentration.

Effect of  Product  Precipitation
  Precipitation of products, if it occurs
(e.g., with lime sorbent) may  affect the
dissolution rate of sorbent. The reduc-
tion in sorbent dissolution rate would
be directly proportional to the surface
area  of sorbent obstructed by product
precipitation. In the early stages of dry-
ing, this  effect  would be  minimal be-
cause of the mobility of sorbent parti-
cles  within the droplet. This effect
would increase considerably as the
solid  phase becomes the continuous
phase. A simple way to account for this
effect in the model is to ignore it in the
early stages until moisture content falls
to the critical moisture content, and in
later stages consider the  dissolution
rate to be  proportional  to the sorbent
fraction remaining in the solid phase.

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Dry-Particle Stage
  As the droplet dries and the moisture
content approaches the equilibrium
moisture level, diffusion of S02 into the
solid matrix and the solid-phase reactiv-
ity become important compared to the
gas-phase mass-transfer resistance.
The S02 removal process becomes that
of S02 diffusion through the solid phase
with chemical reaction. SO2 absorption
and  reaction during the dry-particle
stage may be analyzed in a rigorous ap-
proach of diffusion into a spherical par-
ticle with chemical reaction. For this ap-
proach, both the diffusivity of SO2 and
the reaction coefficient are needed.
  Such rigorous  analysis may be sim-
plified when either the diffusion process
in the solid matrix or the chemical reac-
tion in the solid matrix is dominant over
the other.  When  the chemical reaction
rate is much greater than the diffusion
coefficient, S02  is consumed  by the
solid  phase  as soon as it diffuses  in-
ward. This leads to a  sharp reaction
front  proceeding inward, and the S02
concentration profile in the solid phase
appears as a square wave moving  in-
ward. On the other hand, when the dif-
fusion in the solid matrix is much faster
than the rate of chemical reaction, S02
concentration throughout the particle
will be uniform and equal to the gas-
phase concentration. The reaction will
then proceed throughout the volume of
the particle and may be expressed con-
veniently  by a  bulk volume reaction
coefficient.

Spray-Dryer Inlet and Operat-
ing Parameters
  The rate of drying of a single droplet
and the rate of SO2 removal by a single
droplet are interrelated to bulk-gas and
droplet properties. In addition, the bulk-
gas properties also depend on gas-inlet
conditions, prescribed operating condi-
tions, and gas flow and mixing within
the spray dryer.

Inlet-Gas Specifications
  The inlet-gas specifications required
are:  1) actual volumetric gas-flow rate;
2) flue-gas temperature; 3) flue-gas
composition and its molecular weight;
4) amount of water vapor present, or the
adiabatic saturation temperature; and
5) S02 concentration.

Operating Parameters
  The operating  parameters that influ-
ence the  bulk-gas  properties at the
spray dryer outlet and SO2 removal in
the spray dryer are: 1) approach to satu-
ration temperature at the spray dryer
outlet; 2) stoichiometric ratio of fresh
sorbent added in the atomized slurry to
the amount of SO2 in the inlet flue gas;
3) recycle ratio of solids collected in
spray dryer and paniculate collection
equipment  in the spray dryer feed
slurry; 4) droplet size distribution in sor-
bent feed slurry/solution—method of
slurry atomization; and 5) method of
slurry preparation (slaking)—sorbent
particle size distribution in slurry.
  In  the spray  dryer, the flue gas is
cooled and humidified adiabatically by
evaporation of the water from  the
droplets (ignoring any heat losses).
Thus, prescribing the flue-gas inlet con-
ditions and the  approach to saturation
at the spray-dryer outlet determines the
temperature and humidity of the flue
gas at the spray dryer outlet and also
the amount of water to be added to the
slurry. Alternatively, the amount of
water added  to the slurry  determines
the approach to saturation.  The stoi-
chiometric ratio  determines the amount
of fresh sorbent used per unit amount of
inlet flue gas. The recycle ratio further
determines the amount of  recycled
solids accompanying the fresh sorbent
in the slurry. All  three of the above
parameters thus determine the solids
concentration in the feed slurry-

Gas-Flow Pattern and Mixing in
the  Spray Dryer
  The inlet and operating conditions
specify the bulk-gas properties at the in-
let and outlet of the spray dryer. How-
ever, the rates of heat and mass transfer
depend  on the  local  properties of the
bulk gas in  contact with the spray
droplet. The local  gas properties (e.g.,
temperature  and  concentrations)  are
determined by the gas-flow pattern and
mixing within the spray dryer. With the
completely backmixed gas-flow pattern,
the bulk-gas properties throughout the
spray dryer are  uniform and  the same
as those at the spray dryer outlet. At the
other extreme, when the spray dryer is
considered to be  a  plug-flow system,
the bulk-gas properties change gradu-
ally with the local rate of change of a gas
property, depending on the local rate of
transfer  processes.  The model  pre-
sented here considers both extremes.

Mass and Energy Balances
  Evaporation of water from droplets,
and  absorption  and reaction  of S02 in
droplets change the bulk properties and
composition of both the gas phase and
the droplets. The rates of heat and mass
transfers are coupled with mass and en-
ergy balances for both the gas phase
and the droplets to develop differential
equations to describe the rate of change
in the bulk properties (e.g., temperature
and  composition).  These differential
equations are then integrated over the
spray-dryer residence  times of gas
phase and droplets to obtain the overall
removal of SO2 in the spray dryer.
  After  establishing the  initial condi-
tions, the  gas phase and the droplets
are "followed" from the spray dryer in-
let to the outlet to determine  total
change  in both.  The overall mass and
energy balances on the gas phase deter-
mine the outlet temperature and humid-
ity of the gas phase. The differential
equations describing the rate of change
in droplet properties, with  respect to
residence  time, are derived  using the
mass and energy balances around a
droplet. The droplets are assumed to be
uniformly mixed throughout the gas
phase. For plug-flow gas-flow patterns,
gas properties are assumed to vary con-
tinuously from its inlet to outlet proper-
ties. Thus, in this case, similar differen-
tial equations describing the rate of
change in gas-phase properties with re-
spect to residence time are derived
using local mass and energy  balances
across a small  section of the spray
dryer. No such gas-phase balance equa-
tions are required for a completely back-
mixed gas-flow  pattern.  The uniform
gas-phase temperature and humidity in
this case are determined by the initial
and operating conditions; however, the
outlet S02 concentration cannot be de-
duced. Therefore, trial-and-error is re-
quired to  determine the efficiency of
SO2 removal for  backmixed flow.
"SPRAYMOD" Computer
Program
  To solve the material and energy bal-
ance equations described in this report,
using the rate relations developed, a
computer program, "SPRAYMOD," was
written  in Basic language. The  com-
puter program was developed  on a
desk-top microcomputer.
  The program basically has three sec-
tions. In section 1, a menu input format
is used to enter all the input data regard-
ing specifications and operating vari-
ables. After input, the data are printed
out for  verification. In section  2, gas-
phase overall material and energy bal-
ances are carried out to establish all the

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initial conditions for both the droplet
and the gas phase. The dependent vari-
ables are then initialized.
  In section 3, the differential equations
for the droplets and for the gas phase
(plug-flow option) are solved by a sim-
ple, explicit, finite-forward-difference
scheme. The time step is controlled so
that a maximum change during a time
step in the droplet temperature or the
droplet  weight is less than 1% of the
function value. This  criterion ensures
accurate solution in spite of the simple
numerical scheme used for the solution.
The program has two options for the
gas-flow pattern: backmixed flow and
plug flow. Backmixed flow  requires
trial-and-error to  determine 862  re-
moval efficiency. The backmixed-flow
assumption is often  close to the real
situation.
  The program essentially follows a sin-
gle spray droplet suspended in the bulk-
gas phase  with time. The changes in
droplet  and bulk-gas properties (e.g.,
droplet diameter) are related to rates of
mass  and heat transfer. The bulk-gas
physical properties required in various
rate relations are evaluated at the mean
temperature of the gas film surrounding
the droplet. The properties of the liquid
phase (e.g., vapor pressure) are evalu-
ated at the droplet temperature, as-
sumed to be uniform throughout the
droplet. At each time increment, the
derivative functions are determined and
the time step, DT, is established. The
amount of  water  evaporated  and S02
absorbed in time DT are then evaluated.
Corresponding changes in all gas-phase
and droplet variables during time step
DT are  determined.  The calculations
continue until no more SO2 is removed
by droplets or till the time reaches the
residence time value.

Program  Simulation
  Figure 3  shows results of a sample
simulation  under assumed operating
conditions.  The key parameters and op-
erating  variables used in this model
simulation are:
  Operating Variables:
    •  Inlet gas temperature = 160°C
    •  Amount of water in
      inlet flue gas         = 6.4%  by
                           volume
    •  S02 concentration at
      inlet                = 800 ppm
    •  Approach  to satura-
      tion  temperature at
      the spray dryer outlet =  15°C
    •  Average droplet di-
      ameter             = 50 |im
    100r
                          -i WO
                                Droplet Diameter
                                Approach to Saturation
                                Stoichiometric Ratio
                                Inlet SOi Concentration
                                No Recycle
                             4.0   5.0
                               Time, sec
                    9.0   10.0
Figure 3.   Evaporation of water and SO2 absorption by a droplet in a spray dryer.
    • Primary lime particle
      size                 = 4 (Am
    • Stoichiometric ratio  =1.0
    • Recycle ratio        = 0
    • Mass fraction of ac-
      tive sorbent in feed  = 1.0
  Key Parameters Assumed:
    • Critical moisture con-
      tent                 = 50%
    • Equilibrium  moisture
      content at 100% rela-
      tive humidity        = 3%
    • Completely  back-
      mixed flow system in
      spray dryer
    • Volumetric  reaction
      coefficient at 2%
      residual moisture  in
      solids               = 1 x 107
                            cm3/
                            gmole-
                            sec
The simulation shows that, in this case,
the slurry droplet loses most of its mois-
ture in the first couple of seconds with
the moisture  content eventually ap-
proaching its equilibrium value. Most of
the S02 is absorbed in the first stage of
drying with S02 removal continuing at a
slower rate in the dry stage.
  For the operating conditions and key
parameters assumed, the S02 concen-
tration at the spray dryer outlet was de-
termined to be =215 ppm by trial-and-
error. This was equivalent to 73% SO2
removal efficiency in the spray dryer.
Comparison of Model Predic-
tions with Pilot-Plant Data
  The predictions of S02 removal effi-
ciency  of a spray-dryer system by the
model  presented in this report  were
compared with pilot-plant data under
various operating conditions. The pNot-
plant data set used for comparison, col-
lected  by Cottrell Environmental Sci-
ences,  Inc., at the Comanche Station of
Public  Service Company of Colorado,
was chosen because of its availability
and extent of information.
  In addition to various  operating
parameters, some physical parameters
needed to be specified in model simula-
tions.  The drying characteristics of
solids used were: critical-moisture con-
tent of 30% by mass and an equilibrium-
moisture content of 15% by mass at
100% relative gas-phase humidity. The
critical-moisture content value was con-
sidered to be that at which the  solid
spheres start touching each other  in the
droplet;  whereas, the equilibrium-
moisture content value was approxi-
mately determined from the measured
moisture contents of spray-dryer solids
in this pilot-plant study. The informa-
tion on reaction coefficients was not
available in this report. For model simu-
lations, the solid-phase reactivity was
therefore considered to be zero. No
measured atomized droplet-size distri-
bution  was available in  this study, and
the mean-droplet size inferred from the

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measured spray-dryer outlet solid-size
distribution  was  taken as  50 urn
(monodispersed). The lime particle-size
distribution in slurry was available: it
was approximately monodispersed
with a mean size of 4 IJUTI. The gas-flow
pattern  in model simulations was as-
sumed to be completely backmixed.
  The model comparison with the data
is shown in Table 1 and  Figure 4. The
agreement was very good: most of the
model prediction was within ±10% of
data values. With closer approach to
saturation, however, there was an
underprediction of  S02  removal effi-
ciency. This is believed to be due to ne-
glecting the solid-phase reactivity,
which is expected to be significant at
closer approach to  saturation,  due to
the increased amount of equilibrium
moisture in solids.

SO2 Removal in  Particulate
Control Equipment
  As the spray-dried particles are car-
ried away by flue gas and collected in a
participate collection device, the unre-
acted sorbent is likely to  remove addi-
tional S02. In a paniculate collection de-
vice, solids are accumulated for a long
time which effectively provides a very
high stoichiometric ratio. Since the
physical state of the particles in dust de-
posits is similar to that in the dry-
particle stage, related rate equations are
applicable. Due to the long exposure
times of the dust particles, the  simple
approach of bulk volume reactivity
would be applicable to express SO2 re-
      100r
   o

   I
    CU
   O
   to
   •a
   £
   t>
   •8
   I
40 -
       20  •
                                 Inlet Gas Temp.
                                 Approach to Saturation
                                 Stoichiometric Ratio
                                 SOi Concentration
                                 No Recycle
130°-160°C
8°-34°C
0.7-3.3
700-800 ppm
                    20         40         60

                        Observed SO? Removal Efficiency. '
                                              80
                                                               100
Figure 4.
    Comparison between predicted and observed SOz removal efficiencies under
    various operating conditions.
moval by them. The  reactivity of the
dust particles depends strongly on the
moisture content of the solids. It also
depends on particle size, available sur-
face area,  and type of reagent.
                                Baghouse as a Particulate Con-
                                trol Device

                                  As the flue gas passes through the
                                dust cake, S02 is transported from the
Table 1.    Comparison of SO2 Removal Efficiencies Predicted by Model to Those Observed in Research Cottrell Pilot-Plant Data
Run
No.
101
104
105
107
109
111
112
115
116
118
120
125
126
130
131
Inlet Gas
Temperature
(°F>
334
340
301
300
307
301
307
256
261
340
341
262
264
340
342
Adiabatic
Saturation
Temperature
m
125
125
126
126
126
126
126
126
127
125
124
126
126
125
123
Approach to
Saturation
m
69
33
74
52
62
34
22
31
15
15
61
18
18
20
22
Stoichiometric
Ratio
3.26
1.69
2.36
2.70
1.28
1.62
1.55
1.56
1.30
1.31
1.35
0.71
0.99
1.17
0.72
Inlet SO2
Concentration
(ppm)
780
710
780
730
800
780
750
770
800
810
790
800
800
800
800
Observed
SO2 Removal
Efficiency
(%)
57.7
76.8
44.9
56.2
45.0
65.4
81.3
61.0
71.2
82.7
49.4
65.0
67.5
73.8
55.0
SO2 Removal
Efficiency
Predicted by
Model (%)
58.6
70.4
46.4
61.4
36.3
65.4
79.8
64.0
77.5
86.4
39.2
50.0
62.6
68.8
42.0
Note: Recycle ratio = 0.

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bulk-gas phase to the dust particle sur-
face. Due to intimate dust/gas contact,
the SO2 concentration at the surface will
be the same as the bulk-gas phase S02
concentration. The S02 removal by the
dust cake  can thus be determined by
using the reactivity of the dust particles,
fraction of the unreacted sorbent, dust
cake thickness, and the surface area to
the volumetric flow ratio.

ESP as a Particulate Control
Device
  In an ESP, S02 is transported from the
bulk-gas phase to the dust deposited on
collection plates by gas-phase diffusion.
Therefore, the  gas-phase diffusion re-
sistance contributes to overall S02 re-
moval  in addition to the dust particle
reactivity.  ESPs have very well defined
flow geometry; therefore, experimental
mass transfer correlations  reported in
the  literature for similar flow ge-
ometries may be used to determine the
gas-phase mass transfer resistance to
SOj  removal. S02 removal in an ESP
can then be  determined by taking into
account both  the gas-phase mass-
transfer coefficient and the dust-cake
reactivity.

Conclusions and Recommenda-
tions
1. A comprehensive mathematical
   model was  developed to describe
   various subprocesses occurring  in
   the  S02 removal process  in spray-
   dryer FGD systems. S02  removal,
   both in the spray chamber and in the
   particulate collection device, was
   considered.
2. A computer program,
   "SPRAYMOD," was written to pre-
   dict S02  removal  in a spray dryer
   based on the mathematical model
   developed in this report. The pro-
   gram  is  listed in  the report's
   Appendix.
3. Key physical parameters influencing
   the  model were identified. Several
   parameters (e.g., critical and equi-
   librium  moisture contents and the re-
   action coefficient) need to be deter-
   mined experimentally. These
   physical parameters and process op-
   erating  parameters (e.g.,  stoichio-
   metric ratio and approach to satura-
   tion) determine the spray-dryer FGD
   performance.
4. Comparison of model predictions
   with one set of pilot-plant data
   shows good agreement. The main
   obstacle in such comparisons is lack
of availability of complete data and
the fundamental parameters needed
in the model. Future work, therefore,
could include procurement of com-
plete data and determination of un-
known  parameters to allow further
validation of the model.
                                                                             U. S. GOVERNMENT PRINTING OFFICE: 1986/646-116/20772

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                                          Ashok S. Damle is with Research Triangle Institute. Research Triangle Park, NC
                                            27709.
                                          Louis S. Hovis is the EPA Project Officer (see below).
                                          The complete report, entitled "Modeling of SQzRemovalin Spray-Dryer Flue-Gas
                                            Desulfurization System,"(Order No. PB 86-136 165/AS; Cost: $11.95, subject
                                            to change) will be available only from:
                                                 National Technical Information Service
                                                 5285 Port Royal Road
                                                 Springfield, VA 22161
                                                 Telephone: 703-487-4650
                                          The EPA Project Officer can be contacted  at:
                                                 Air and Energy Engineering Research Laboratory
                                                 U.S. Environmental Protection Agency
                                                 Research Triangle Park, NC 27711
United States
Environmental Protection
Agency
Center for Environmental Research
Information
Cincinnati OH 45268
Official Business
Penalty for Private Use $300

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