&EPA
            United States       Industrial Environmental Research
            Environmental Protection  Laboratory
            Agency          Research Triangle Park NC 27711
                            EPA-600/8-78-005b
                            June 1978
            Research and Development
Participate Control
Highlights:
Performance and
Design Model
for Scrubbers
               BY-PRODUCTS
                 OR
               RECYCLE STREAMS
      PUMP SOLID LIQUID
        WASTE WASTE

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                 RESEARCH REPORTING SERIES


Research reports of the Office of Research and Development, U.S. Environmental
Protection Agency, have been grouped into nine series. These nine broad cate-
gories  were established to facilitate  further  development and application of
environmental technology. Elimination of traditional grouping was consciously
planned to foster technology transfer and a maximum  interface in related fields.
The nine series are:

     1.  Environmental Health Effects Research

     2.  Environmental Protection Technology

     3.  Ecological Research

     4.  Environmental Monitoring

     5.  Socioeconomic Environmental Studies

     6.  Scientific and Technical Assessment Reports  (STAR)

     7.  Interagency Energy-Environment Research and Development

     8.  "Special" Reports

     9.  Miscellaneous Reports

This report has been assigned to the SPECIAL REPORTS series.  This series is
reserved for reports  which are intended to meet the technical information needs
of specifically targeted user groups. Reports in this series include Problem Orient-
ed Reports, Research Application Reports, and Executive Summary Documents.
Typical of these reports include state-of-the-art analyses, technology assess-
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manuals, and user manuals.
                        EPA REVIEW NOTICE

 This report has been reviewed by the U.S. Environmental Protection Agency, and
 approved for publication. Approval does not signify that the contents necessarily
 reflect the views and policy of the Agency, nor does mention of trade names or
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This document is available to the public through the National Technical Informa-
tion Service, Springfield, Virginia 22161.

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                                   EPA-600/8-78-005b
                                             June 1978
 Participate  Control  Highlights:
Performance and Design Model
             for Scrubbers
                     by

               S. Yung and S. Calvert

                   A.P.T., Inc.
            4901 Morena Boulevard, Suite 402
              San Diego, California 92117
               Contract No. 68-02-2190
             Program Element No. EHE624
           EPA Project Officer: Dennis C. Drehmel

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

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

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                            ABSTRACT

     When EPA initiated the Wet Scrubber Systems Study in 1970
the state-of-the-art was largely empirical.   Each application
was considered to be a special case which could only be dealt
with on the basis of long and specific experience.   Engineering
design was based on a primitive, cut-and-try approach and often
resulted in an expensive overdesign to cover the wide range of
uncertainty.  There was also very little scrubber performance
information available.
     In the Wet Scrubber Systems Study all available information
concerning wet scrubber theory and practice  was reviewed and
evaluated.  The best available engineering design methods were
evaluated and where necessary new or revised methods were developed
to provide as sound a basis as possible for  predicting performance.
The result of this study was the publication in 1972 of the
"Scrubber Handbook."
     This capsule report summarizes the best available design
models for wet scrubbers.  Details of the models are reported
in the Scrubber Handbook and other EPA publications listed in
the bibliography.
                               ii

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                            CONTENTS

Abstract	ii
Figures	iv
Tables	iv
Abbreviations and Symbols	  . v
Introduction	1
Collection Mechanisms 	  1
Design Equations	2
     Unit Mechanism Approach	2
     Deposition Velocity Approach  	    	  3
     Pressure Drop	-.4
Performance Prediction and Scrubber Design	4
Cut Diameter Method for Performance Prediction and Scrubber
  Design	5
     Cut Diameter	5
     Integrated Penetration  	  6
     Cut/Power Relation 	  7
     Power and Cost	8
Bibliography	19
                              iii

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                             FIGURES


Number                                                    Page

  1   Relation Between Physical and Aerodynamic Particle
      Diameter	14

  2   Experimental and Calculated Collection Efficiencies
      for Sphere and Cylinder	15

  3   Predicted Particle Diameter, Penetration Relation-
      ship for Inertial Impaction 	 16

  4   Integrated (Overall) Penetration as a Function of
      Cut Diameter and Particle Parameters	17

  5   A.P.T. Cut/Power Plot  	 18
                              TABLES


Number

   1   Scrubber Classifications	   9

   2   Design Equations  for Various Scrubber Types  	  10

   3   Single Drop  and Single  Cylinder Collection Efficiency
      Due  to Various Collection  Phenomena  	  11

   4   Particle Deposition Velocity	12

   5   Pressure Drop	13
                                iv

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   A -
   A •
  A_ •
 t
 B -
 C •
 C •
C' -
CD-
Ci '
Co-
D. •
   d   -
   pa
  4PI
    E  •
    P
    F •
    f -
f(dp)
    g
    H
    h
   Pt
   kc
    I •
              LIST OF ABBREVATIONS AND SYMBOLS

cyclone inlet area, m'
dinensionless constant in equation (6)
cross-sectional area of the collector normal to gas flow
direction, •*
deposition area, a*
projected area of baffles, m1
cross-sectional area of duct, m*
dinensionless constant in equation (6)
cyclone geometry parameter, dimensionless
particle concentration, g/a1
Cunningham slip correction factor, dimensionless
drag coefficient, dimensionless
particle concentration at the scrubber inlet, g/m1
particle concentration at the scrubber outlet, g/m1
cyclone diameter, n
particle diffusivity, »2/s
molecular diffusivity, ml/s
collector diameter, m
drop diameter, n
cyclone exit diameter, m
fiber diameter, m
sieve plate perforation diameter, m
particle diameter, n or ura
aerodynamic particle diameter,  lunA
mass median diameter,  n  or  UraA
required cut diameter, umA
collection efficiency, fraction
charging electric  field strength, v/m
effective precipitating electric  field strength,  v/m
foam density, dimensionless
empirical constant • O.S
drag coefficient,  dimensionless
fraction of hole area, fraction
frequency distribution of particles
acceleration of  gravity,  m/s1
magnetic  field  strength,  A/m
distance of drops  traveled,  m
inertial  inpaction parameter, dimensionless
inertial parameter at the throat, dimensionless
gas thermal conductivity, J/a-s-'K
particle thermal conductivity,  J/m-s-'K
thickness of fibrous packing, a
                                                                                "Pe
                                                                                »Re
                                                                                  P
                                                                                 PT
                                                                                    R •
                                                                                   PG
                                                                                    T
                                                                                  "Gt
                                                                                   uh
                                                                                  UPD
                                                                                   ut
                                                                                    W
                                                                                    A  •
                                                                                  Greek
                                                                             cylinder
                                                                               drop
                                                                                'pot
                                                                                nvis
                                                                                  a
                                                                                    Pw
                                                                                    &P
aolecular weight of gas,  g/g-aol
aolecular weight of vapor,  g/g-nol
Peclet number, diaensionless
Reynolds nuaber, dioensionless
absolute pressure, Pa
overall particle penetration
penetration for particles with  diameter d ,  fraction
radius, a
gas volumetric flow rate, m'/s
liquid volumetric flow rate, m'/s
collector charge, C
particle charge, C
gas partial pressure, Pa
gas temperature, *K
gas velocity passing the  collector, m/s
gas velocity, m/s
gas velocity at the throat, m/s
gas velocity through perforation, m/s
particle deposition velocity, m/s
terminal settling velocity, m/s
mass of particles, g
weir length, m
depth of packing, m

fiber fraction, fraction
dielectric constant, dimensionless
porosity, fraction
permitivity constant (8.8S4 x 10"   coulomb'/nt-n'J
overall collection efficiency of a unit mechanism, dimensionless
single cylinder collection efficiency, fraction
particle collection due  to diffusion,  fraction
single drop collection efficiency, fraction
particle collection due  to electric precipitation, fraction
particle collection due  to gravity, fraction
particle collection efficiency due to  impaction, fraction
potential flow  drop collection efficiency,  fraction
viscous  flow  drop collection efficiency,  fraction
angle of attack,  degree
penetration  time, s
geometric standard deviation, dimensionless
gas absolute  viscosity,  kg/a-s
particle density, kg/m1
density  of water, kg/m1
pressure drop,  cm W.C.
dry pressure  drop, ca W.C,

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            PERFORMANCE  AND DESIGN  MODELS  FOR  SCRUBBERS

INTRODUCTION
     Scrubbers are devices which utilize a liquid in the separa-
tion of particulate or gaseous contaminants from a gas stream.
The liquid may be used to contact the gas and particles directly,
or may be used to clean solid surfaces on which the particles
or gases have been collected.
     Scrubbers are used extensively for the control of air pollu-
tion emissions.  There are so many different scrubber systems
offered by manufacturers that it is often difficult to choose
the right scrubber for a particular job.
     The optimum scrubber system for a particular job will not
depend only on the system costs.  The major consideration should
be whether the scrubber is capable of removing the pollutants
to the degree required.   An inexpensive, simple scrubber which
does not meet the efficiency requirements is not only useless,
but a waste of money and time.  It is, therefore, of primary im-
portance to provide as sound a basis as possible for predicting
performance.
     Design models based on fundamental engineering concepts
provide the best approach for evaluating the performance and
cost of scrubber systems.  This report summarizes the best available
engineering models for particulate scrubbers.

COLLECTION MECHANISMS
      Currently  available  scrubbers  can  be  grouped  into  a  number  of
categories: plate, massive packing, fibrous packing, preformed
spray, gas-atomized spray, centrifugal, baffle, impingement and
entrainment, mechanically aided, moving bed, and various combina-
tions (Calvert, et al. 1972 and Calvert, 1977).  No matter what

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type of scrubber is being evaluated, it is convenient to consider
dust particles to be separated from the gas by one or more unit
mechanisms, the basic particle collection elements which
account for the scrubber performance.  For example, in a venturi
scrubber, particle collection is achieved by contacting the par-
ticles with the atomized liquid drops.  Thus, collection by drops
is a unit mechanism.  Other unit mechanisms for particle collec-
tion include collection by cylinders, sheets, bubbles, and jet
impingement.  Table 1 summarizes the scrubber groups and the impor-
tant unit mechanisms for each group.
     For each of the unit mechanisms, the particles are separated
from the gas by one or more of the following particle collection
mechanisms:  gravitational sedimentation, centrifugal deposition,
inertial impact ion, interception, Brownian diffusion, thermophore-
sis, dif fusiophoresis and electrostatic precipitation.  Particle
collection also may be enhanced by increasing the particle size
through agglomeration, condensation, or other particle growth
mechanisms.

DESIGN EQUATIONS
     There are two basic approaches  for developing design  equations
for  scrubbers. One approach  is to consider the collection  effi-
ciency of  individual unit .mechanisms , such as collection by single
drops, and derive a relationship for  the  overall  collection
efficiency based on the unit mechanisms.  The second  approach
is  to  determine the deposition velocity of a particle experiencing
a specific deposition  force, such as  electrical attraction.
These  two  approaches are discussed below.
Unit Mechanism Approach
     The general design equation which describes  particle  collec-
tion by any control device in which the gas and dust are well
mixed  is:
                   dc    u
                         r
                              dA                         (1)
                                 c

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"n" is the overall collection efficiency of a unit mechanism.
     Inertial impaction is the collection of moving particles by
impingement on some target.  The relative effect of inertial
impaction for different particles and flow conditions is charac-
terized by the inertial impaction parameter, K , defined as:
                         Cf p  dfur
                    K  = 	P-P-G                    (2)
                     P   9 *G dc

     Figure 1 shows the theoretical and experimental target effi-
ciencies for a single sphere and a single cylinder as related
to tLe inertial impaction parameter.
     Equation (1) has been solved for various scrubber systems
which involve collection by inertial impaction.  The results are
tabulated in Table 2.
     Equation (1) also may be applied to other collection mechan-
isms if an expression for "n" is known.  Table 3 presents expres-
sions for the single drop and single cylinder collection efficien-
cies resulting from various collection mechanisms.
Deposition Velocity Approach
     The particle  deposition velocity  is the component of  its
velocity in  the  direction  towards  the  collecting  surface.  If the
particle deposition velocity is  constant and the  gas and par-
ticles are well  mixed everywhere in the scrubber,  the particle
collection can be  predicted from the following equation:
                             c
                              o
                 Pt, = 1-E = —  = exp
                             ci
UPD AD
              (3)
"u D" is the net particle deposition velocity caused by the col-
lection mechanism(s).   The deposition velocity for any collection
mechanism depends on the force balance between the driving force
(deposition force) and the resistance force of the gas.  Table 4

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is a list of theoretical equations predicting the deposition
velocity for each collection mechanism.  The scrubber collection
efficiency can be calculated by using equation (3) coupled with
the appropriate deposition velocity and the total deposition
area of the scrubber.
Pressure Drop
     Along with particle collection efficiency, the scrubber
power requirement is also an important consideration in designing
the optimum pollution control system.  The power requirement for
particle scrubbing is mainly a function of the gas pressure drop.
Preformed sprays and mechanically aided scrubbers have signifi-
cant power inputs to pumps and other devices.  Equations for
predicting the gas phase pressure drop for various types of
scrubbers are summarized in Table 5.

PERFORMANCE PREDICTION  AND SCRUBBER DESIGN
     Air pollution control regulations generally  specify a maxi-
mum mass rate of emissions and often set a concentration limit
as well.  By knowing  the particulate concentration and mass rate
at the  scrubber  inlet,  one can specify the minimum collection
efficiency  or the maximum allowable penetration through the
scrubber being designed or selected.
     When  a range  of particle  sizes  is  involved,  as  generally  is
 the  case,  the overall particle penetration will depend  on  the  size
 distribution and on  the penetration  for  each  size.   The overall
penetration, Ft, of  any device collecting a dust  with any  size
 distribution will  be:

                   -w Pt,  dW
  f  Ptd dW  _  f
J     W       /
           Ft  =
                        W       J     a  " P
      The right-hand side of the above equation is the integral
 of the product of each weight fraction of dust times the penetra-
 tion of that fraction.

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      In designing a scrubber,  the maximum allowable  penetration,
 Ft,  and size distribution,  f (d ) , in the process  stream must  be
 known.   The  only variable  in equation (4)  is  "Ptd" which is a
 function of  scrubber geometry  and scrubber operating conditions.
 One  must first  choose the  scrubber geometry and operation condi-
 tion,  then evaluate "Pt^" by means of the design equations presen-
 ted  in Table 2  and integrate equation (4)  to  obtain  the overall
 penetration, Ft.   If the calculated "Ft" is greater  than the
 allowable maximum,  new scrubber geometry and  operating  conditions
 are  chosen and  the calculations are repeated.
     These trial  and error  procedures are  continued  until one
 arrives  at a scrubber design which gives an overall  penetration
 smaller  than or equal to the maximum allowable  "Ft." Generally,
 more than one scrubber geometry and set  of operating conditions
 give satisfactory  performance.  The  final  selection  will  be based
 on cost,  experience  and other  factors.
     Choosing a scrubber is  simpler  than designing one.   The
 scrubber  manufacturer's proposed  geometry  and operating condi-
 tion may  be  used  to  calculate  "Ptj"  from the appropriate  design
 equations.   Then  "Ft" may be calculated  from equation (4)  to
 check whether it  is  acceptable.
     This  design method is precise but time-consuming.  A  much
 simpler method, called the  "cut diameter"  method,  has  been
developed to provide  quick designs when precision is  not required.
The "cut diameter" method has been described in the "Scrubber
Handbook"  and other  publications.

CUT DIAMETER METHOD FOR PERFORMANCE PREDICTION AND SCRUBBER DESIGN
Cut Diameter
     A very convenient parameter for describing the capability
of a particle scrubber is the diameter of the  particle for which
the scrubber  is  501 efficient.   This diameter  is referred to as
the cut diameter, generally given in aerodynamic units.   Thus,
a scrubber with  a cut diameter of 1.0 ymA would collect  particles
of 1 ymA size at 501 efficiency.

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     The great utility of cut diameter stems from the fact that a
curve of collection efficiency versus particle diameter for col-
lection by inertial impaction is fairly steep.  Several important
types of scrubbers have performance characteristics such that a
particle whose aerodynamic diameter is half the cut diameter would
be collected at about 10% efficiency, whereas a particle with an
aerodynamic diameter twice the cut diameter would be collected
at about 90% efficiency.
     Because the cut is fairly sharp, one can use as a rough
approximation the concept that the scrubber collects everything
larger than the cut diameter and passes everything smaller.
Integrated Penetration
     Most scrubbers that collect particles by inertial impaction
perform in accordance with the following relationship:
                              /      B \   c
                   Ptd = exp  -A d    )= -             (5)
     "B" is an empirical constant.  Packed-bed and plate type
scrubber performance are described by a value of "B = 2.0"
whereas for centrifugal scrubbers of the cyclone type, B = 0.7.
Gas-atomizing scrubber performance fits a value of "B = 2.0"
over a large portion of the usual operating range.  Therefore, we
 use a  value  of  "B =  2.0"  as  representative  of most  scrubbers
 operating  in the  inertial  impaction  regime.  Figure  2 plots
 collection efficiency  against the ratio  of  aerodynamic  particle
 diameter to  performance  cut-diameter,  showing one  line  based  on
 equation  (5)  and  another  for a venturi scrubber under typical
 operating  conditions.
     Most  industrial particulates have approximately  a log-normal
 size distribution.  Hence,  the two basic parameters  of the log-
 normal distribution  adequately describe  the size  distributions
 of particulate  matter.   These parameters are  the  mass median
 diameter,  d  ,  and the geometric standard deviation,  o .   If  the
            Jr &                                         **
 size distribution is log-normal, a plot  of the  percent of particles

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 less  or  greater  than  a  stated  diameter  versus  the  diameter, on
 logarithmic  probability graph  paper, will  yield  a  straight  line.
 The  50%  value  of "dpa"  equals  "dpg" and the  ratio  of  the particle
 diameter at  about 84.1% undersize  to "d " is  equal to  "a  ."
      One can integrate  equation  (4) with "Ptd" given  by equation
 (5) and  "f(dp)M  by  log-normal  distribution.  The results are
 presented  in graphical  form in Figure 3.   The  overall penetration
 (FT)  for the entire size distribution is plotted against the
 ratio of required cut diameter to mass  median  diameter, with geo-
 metric standard  deviation as the parameter.
      Figure  3  can be used to determine  what  "dRC," the required
 cut diameter,  must be in order to get a  specific "PT" for a given
 size  distribution.  For example, suppose the size distribution has
 "dpg  = 10 ymA" and "ag  = 3-°>" and one  needs 99% collection
 efficiency.  The penetration is 1001 minus the percent collection
 efficiency,  or 1%, which corresponds to  "Ft  = 0.01" in fractional
 units .
     The diameter ratio corresponding to "Pt = 0.01" and "a  =
 3.0" is  "dRC/dpg  = 0.063."  Since "dpg  = 10 ymA,  dRC = 0.63SymA."
This means that one will need a scrubber with a cut diameter of
0.63 ymA or  less  to achieve 99% collection  of the particles in
question.

 Cut/Power  Relation
      Mathematical models for scrubber performance  and the cut-
 diameter approach developed in the "Scrubber Handbook"  led  to the
 concept  that performance cut diameter could  be related to gas-
 phase pressure drop, or power  input to  the scrubber.  The results
 of subsequent  performance tests on a variety of scrubbers in
 industrial installations, combined with mathematical modeling,
 enabled  the  refinement  of the  cut/power  relationship shown  in
 Figure 4.  The curves give the cut diameter  (ymA) as a function
 of either power  input   (W/m3/min) or gas-phase pressure drop (cm
 W.C.) for a  number of typical  installations  such as sieve-plate
 column,  packed column,  fibrous packed bed,  gas-atomized spray,
 and mobile fluidized bed.

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     The A.P.T. cut/power relationship has been devised and
tested on the basis of all the published data available. It appears
to be an accurate and reliable criterion for scrubber selection.
     One can see from Figure 4 that the only "unaided" scrubbers
capable of giving a 0.6 umA cut diameter are the gas-atomized
and fibrous-packed-bed types.  A gas-phase pressure drop of
about 33 cm W.C. would be required for the gas-atomized scrubber.
The fibrous packing would need 56 cm W.C. for 100 ym fiber diameter
and about 15 cm W.C. for 50 pm fibers.
     It would take about 75 ym fiber diameter to achieve a "dDP -
                                                             KL
0.6 ymA" at slightly less pressure drop than for the gas-atomized
scrubber.  This is quite fine fiber or wire, and serious questions
would arise regarding its structural stability, and susceptibility
to corrosion and plugging.  The safe approach would be to choose
the gas-atomized scrubber unless extensive pilot tests could be
done with fine fiber beds.
     Other types of scrubbers could achieve the required per-
formance if augmented by F/C effects or by electrostatic charging.
Each system would have to be examined to determine whether it
would be economically attractive.
Power and Cost
     The equivalent power axis plotted on the top of the cut/
power plot is based on 501 efficiency for a fan and motor combination.
The theoretical power requirement is approximately 1.63 W/m'/min
for each centimeter of water pressure drop.  Power costs can be
approximated as twice the theoretical power required for 50%
efficiency.
     Equipment costs are best estimated from vendor's quotations.
As usual, one must be sure that all prices for competing units
are on  the same basis.  Materials, ducting, electrical work,
foundations, supporting structure, etc., must be specified as
included or not.

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                 TABLE 1.  SCRUBBER CLASSIFICATIONS
Geometric Type
Unit Mechanism for Particle
          Collection
Plate
Massive packing

Fibrous packing
Pre-formed spray
Gas-atomized spray
Centrifugal
Baffle and secondary flow
Impingement and entrainment

Mechanically aided
Moving bed
Combinations
Jet impingement, bubbles
Sheets (curved or plane),
jet impingement
Cylinders
Drops
Drops, cylinders, sheets
Sheets
Sheets
Sheets, drops; cylinders,
jets
Drops, cylinders, sheets
Bubbles,  sheets

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                TABLE 2.  DESIGN EQUATIONS I-OK VAH10US SCRUBBED TVI'tS
SCRUBBER TYPE
                                         DESIGN EQUATIONS
Sieve Plate
  Pt  - exp [-40 F'K  ]. K
                                                           .  O.J8 < F < 0.65
Massive Packing
                              Pt
Fibrous Packing
     Pt , - exp  - ^—  an
       •       Id       cylinder


     "cylinder ' f(V' fr°m fifa* *
Venturi and
Cas-Atonized Spray
                                        Gc
                        F(Vf).^^l,tn(!H^)._P^_
                                 - (Kpt  f « 0.7)
Preformed Spray
                 r    3 QL ut z
         d" "p *  •>n  A  ,—; ndr°p
                 L   2 QC d d (ut-U(.)    "P

                 f   3 QL h         -1
       Ptd * "P '  TTT"   "drop  • ««>SS-flOV
                 L   2 QG dd        J
                                                               . vertical
                                                                countercurrent
                                                                flow
                             drop
                                         '  fr°m Fi«u« 2
 Impingement  and
 Entrainment
Pl  ,  cxp
                     )  d           ]
                     - i  F  {r    f)

                     C^G     '    J
                                                   0.7
                                 - (Kpt,f « 0.7)
                                                              0.7 * Kpt.f
 Centrifugal
  (cyclone)
      Ptd - exp
                     [.2(C ,,
                                                (it + D
                                               [(0.00394 D )   ~\ i - \
                                           1	TT^-Jfe
Centrifugal
 (cyclone with
 spray)
ptj
                               "drop P f(V' fr°B FigU"
                              and  n saae as Thmt for  the cyclone
 Baffle Type
 Collector
                                          ••t)   "I
                                "'drop " *'"»'• *ro* F1*ure '
                                    10

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      TABLE 3. SINGLE DROP AND SINGLE  CYLINDER COLLECTION EFFICIENCY DUE TO VARIOUS COLLECTION PHENOMENA
COLLECTION

PHENOMENA
                  DROP
                                CYLINDER
Interception
                                                                    = 0.0518
                                                                   ,  laminar flow
                                                                          I.    d
                                                                           f	P
                                                                                        , turbulant flow
Diffusion
  D    U_,-u, 1  d,   2+0.552
                              |U_,-u, 1   ,
                              |  G  d|   d
  0.5 /VG\I


NRedVV
                                                             /3
                                                                          -0.6
Gravity

Settling
n  .
I)  _
                                    NRed

                                     60
                              C' dp pp

                                18 y  U
Electrostatic

Precipitation
                             4 C' q  q
                                  n  M
                   -, charged particle
     3 IT p  d  u  e   charged drop
                                    p  o  o
                                            nc  =  i.s
                                               q
                               24
                              , uncharged

                               particle

                               charged drop
                                                      12 ir2e  dr2yr d  u
                                                            o  f  G  p  o _
                                                                           0,5

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TABLE 4. PARTICLE DEPOSITION VELOCITY
Collection Phenomena
Gravitational
Sedimentation
Centrifugal
Deposition
Brownian
Diffusion
Thermophoresis

n~i ~ff 11  dp CPp-PG)g
PD
18 . yn
u
! C- dj (pp-PG) ut«
PU 18 MG R
-pD-^»ftr
3 C' yr / kr \
u „ _ G / G 1 VT
PD 2 pG T \2 kG.kpj
u - M^°'5 P DVG »p
PU PvV'PGV PG V
u . e C'EoEcEp dp
PD
e + 2 4 TT ?G
C1 y H q yf .
PD , ,
3 TT y.-, d^
u P
                  12

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TABLE 5.  PRESSURE DROP
Scrubber Type
Sieve Plate
Massive
Packing
Fibrous
Packing
Venturi and Gas
Atomized Spray
Centrifugal
(cyclone)
Baffle
Pressure Drop
iP • hw + how + hdp * hr
h = weir height z 5 cm
W
Q,
how ' O-157 5Jf
2 Pr U?
h = 1 14 TO 4 fl 25-f "1 + fl £11
dp L lJ..*.a rjjJ*U ijjj J p
hr • °'13 j%
Generalized pressure drop correlation for
bed (Perry, 1973).
o ri-p^ p c u 2
!* X/^J. tj (i ^i-> Up
AP - 6 5 x 10" b D b
df

packed
•
, /QL\
AP = 8.24 x 10 uGt2(o^)
AP — n nnfl^l1? r> 1 vall/.O A! vritVi in1f»1" v
(j \ A/I Q /
/O V/16 A\
i "n 1 1 ./_ I i«ri tVirmt1 -irtl^t1
= 0.000513 PG U£H d2y» without inlet
* A/ 6
n 3 f n G P
AP = Z 1.02 x 10 D MG 2 COS2Q A
anes
vanes

          13

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   50
£  10



Di



2   5

I—I
Q

w

u
a,

u
>—i
£
c
o
a;
(14

< 0.5
  0.1
                    I   III'
                                              I   I   I  1  I I
      0.1
                                             Pp - 4.
                                                    g/cnr
               I    I   l  i  I  1  i I I
                                        J	|_	I  I  t I  I I I
                         0.5      1.0                S

                             PARTICLE  DIAMETER, ym
                                                           10
20
      Figure 1.  Relation  between physical and aerodynamic particle
                 diameter.
                                 14

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  1.0






   .9
u-

P*
.7






.6






.5
§
i—i




I  -4
i—3
8
   .3






   .2






   .1






    0
                    I    I   I   I  I  I l  |
i      I
     0.1
0.2    0.3      0.5
                                     1.0
                        10
      Figure 2.  Experimental  and calculated collection efficiencies for

                 sphere and  cylinder.

-------
    3.0
    2.0
i   i.o
e
n.
 o
 03
    0.5
    0.1
           I  I I 1111 I    I  I I  I I I 11 I
                        I    I
                 Pt  =  exp  -  (A  cTa)
                                                TYPICAL
                                              PREDICTION FOR
                                              \  VENTURI
                                                     SCRUBBER
                                                  \
                                                    \
                                                                       N
i i linn   i  i  i i 11111
                                i   i   i   i    i
 in 11i i  i
        0.1   0.51  2
                   10               SO

                       PENETRATION  FOR d   ,  I
                                       pa
90   95   98  99
        Figure 3.   Predicted particle diameter, penetration relationship for
                   inertial impaction (Calvert , 19741.

-------
    1.0
EX


 #s

2:

o
KH

E-




E^


2;
< 0.01
    o.i  r
 0.001
                  Pt  =  exp (-A d2 )
                         ^        j
      0.001
                        0. 001
                                             0.1
                                                                1.0
       Figure 4.  Integrated  (overall)  penetration as a function

                  of cut diameter and particle  parameters.

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             20
os
w
E-
W
Q
E-
1.0
   0.2
                                   SCRUBBER POWER, W/.m3/min
                           50           100           200
                                                       I   I   I  I
                                                                            500
    0.5
                                                     50             100
                                    GAS PHASE  PRESSURE DROP, cm W.C.
                                 Figure 5.   A.P.T.  cut/power  plot
                                                                             200
 la. Sieve-plate column with foam density of 0.4 g/on3  and 0.5 mm hole dia   The
     number of plates does not affect the relationship  much (Experimental data and
     mathematical model.)
 Ib. Same as la except 3.2 mm hole dia.
  2. Packed column with 1-in.  rings or saddles.  Packing depth does not affect the
     relationship much.(Experimental data and mathematical  model.)
 3a. Fibrous packed bed with 0.3 mm dia.  fiber,  any depth.  (Experimental data and
     mathematical model.)
 3b. Same as 3a except 0.1 mm dia.  fibers.
 3c. Same as 3a except 0.05 mm dia.  fibers.
  4. Gas-atomized spray.(Experimental  data from  large Venturis, orifices, and rod-
     type units,  plus mathemtical model.)
  5. Mobile bed with 1 to 3 stages  of  fluidized  hollow plastic spheres.  (Experimental
     data from pilot plant and large-scale power plant scrubbers.)
                                        18

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                           BIBLIOGRAPHY
Calvert, S., "Engineering Design of Fine Particle Scrubbers,"
     APCA Journal, 24.: 929-934, 1974.

Calvert, S., "How to Choose a Particulate Scrubber," Chemical
     Engineering, August 29, 1977.

Calvert, S., "Scrubbing," Chapter 6 in "Air Pollution," 3rd ed.,
     Volume IV, Arthur Stern, editor, 1977.

Calvert, S., J. Goldshmid, D. Leith, and D. Metha, "Scrubber
     Handbook," NTIS PB 213-016, August 1972.

Calvert, S. and S. Gandhi, "Improved Design Method for F/C
     Scrubbing," paper presented at the Second EPA Fine Particle
     Scrubber Symposium, May 2-3, 1977, New Orleans, NTIS
     PB 273-828.

Calvert, S., S. Yung, H. Barbarika, G. Monahan, L. Sparks, and
     D. Harmon, "A.P.T. Field Evaluation of Fine Particle Scrub-
     ber," paper presented at the Second EPA Fine Particle
     Scrubber Symposium, May 2-3, 1977, New Orleans, NTIS
     PB 273-828.

Yung, S., H. Barbarika, and S.  Calvert, "Pressure Loss in
     Venturi Scrubbers," APCA Journal, 27_:  348-351,  1977.

Yung, S., S. Calvert, and H. Barbarika, "Venturi Scrubber Per-
     formance Model," NTIS PB 271-515, August 1977.
                                19

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                                TECHNICAL REPORT DATA
                         (Please read Instructions on the reverse before completing)
1. REPORT NO.
  EPA-600/8-78-005b
                           2.
                                                      3. RECIPIENT'S ACCESSION NO.
4. TITLE ANDSUBTITLE
Particulate Control Highlights:  Performance and
 Design Model for Scrubbers
              5. REPORT DATE
               June 1978
              6. PERFORMING ORGANIZATION CODE
7. AUTHORIS)
                                                      8. PERFORMING ORGANIZATION REPORT NO.
S. Yung and S. Calvert
9. PERFORMING ORGANIZATION NAME AND ADDRESS
A. P.T.,  Inc.
4901 Morena Boulevard, Suite 402
San Diego, California  92117
                                                      10. PROGRAM ELEMENT NO.
              EHE624
              11. CONTRACT/GRANT NO.
              68-02-2190
12. SPONSORING AGENCY NAME AND ADDRESS
 EPA, Office of Research and Development
 Industrial Environmental Research Laboratory
 Research Triangle Park, NC  27711
              13. TYPE OF REPORT AND PERIOD
              Task Final: 9/77-4/78
                                                                            COVERED
              14. SPONSORING AGENCY CODE
                EPA/600/13
15. SUPPLEMENTARY NOTESTjjjRL-RTP project officer is Dennis C. Drehmel, Mail Drop 61,
919/541-2925.  EPA-600/8-77-020a, -020b, and -020c are earlier reports in this
series.
is. ABSTRACT The report gives a capsule summary of the best available design models
for wet scrubbers and their application to fine particulate control. Details of the
models are reported in the Scrubber Handbook and other EPA publications listed in
the bibliography. When EPA initiated its Wet Scrubber Systems Study in 1970, the
state-of-the-art was largely empirical. Each application was considered to be a
special case which could only be dealt with on the basis of long and specific exper-
ience. Engineering  design was based on a primative, cut-and-try approach and
often resulted in an expensive overdesign to  cover the wide range of uncertainty.
There was also very little scrubber performance  information available.  In the Wet
Scrubber Systems Study all available information  concerning wet scrubber theory and
practice was  reviewed and evaluated.  The best available engineering design methods
were evaluated and, where necessary, new or revised methods were developed to
provide as sound a basis as possible for predicting performance. The Scrubber
Handbook, published in 1972, resulted from this study.
17.
                             KEY WORDS AND DOCUMENT ANALYSIS
                DESCRIPTORS
                                          b.IDENTIFIERS/OPEN ENDED TERMS
                          c.  COSATI Field/Group
 Pollution
 Dust
 Scrubbers
 Gas Scrubbing
 Mathematical Models
  Pollution Control
  Stationary Sources
  Particulate
13B
11G
07A
13H
12A
18. DISTRIBUTION STATEMENT

 Unlimited
  19. SECURITY CLASS (ThisReport)
  Unclassified
21. NO. OF PAGES
    25
  20. SECURITY CLASS (Thispage)
  Unclassified
                           22. PRICE
EPA Form 2220-1 (9-73)
20

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