United States
                  Environmental Protection
                  Agency	     	
Air and Energy
Engineering Research Laboratory
Research Triangle Park, NC 27711
&
                  Research and Development
EPA/600/S7-88/006 Nov. 1988
x°/EPA         Project  Summary

                   The  Role  of  Rogue Droplet
                   Combustion  in  Hazardous
                   Waste  Incineration
                   R.K. Srivastava, J.V. Ryan, and J.V. Roy
                    In the incineration of liquid haz-
                  ardous wastes, atomization  quality
                  may limit  destruction efficiency.
                  Large, nonmean  droplets in a fuel
                  spray can  pass  through  the flame
                  zone prior  to  complete evaporation
                  and may subsequently fail  to burn
                  completely due to  insufficient tem-
                  perature and/or  flame radicals. A
                  study was  conducted to  develop a
                  predictive understanding of  individ-
                  ual  droplet trajectories in  turbulent
                  diffusion flames.
                    The influence  of droplet spacing
                  on the drag coefficient of individual
                  drops injected  into a quiescent
                  environment has been determined
                  through  measurements of  trajec-
                  tories of single, monodlsperse, non-
                  evaporating droplet streams.  Droplet
                  size, velocity, and spacing were
                  varied, yielding initial  Reynolds
                  numbers (Re) ranging from 90 to 290
                  and  initial droplet spacing to
                  diameter ratios (L/D) ranging from
                  1.7 to 1700. Data from 10 trajectories
                  were correlated  using asymptotic
                  forms for CD oft
                   {CD (Re, L/D)}~n


                    = {CD (Re, L/D)}- n + {(CD)00 (Re)}~ n

                  where

                    (CD)°=CROD(Re) + aReb{L/D-l}

                  and is the asymptotic form for CD as
                  L/D->1, while (CD)" is that for CD as
                  L/D-><*>. A trajectory model  contain-
ing the local drag coefficient was fit
to  the  experimental  data by a
nonlinear regression, yielding the
following values for the empirical
parameters: n = 0.7071, a = 34.80, and
b*-1.009. The  resulting  model  with
this drag coefficient formulation was
then able  to predict 4 additional
measured trajectories and  39  addi-
tional measured trajectory endpoints
with acceptable  accuracy. Thus, the
influence of  droplet spacing on the
local drag coefficient of  a single
droplet has been quantified.
  A numerical model  has been
developed to predict the ballistics of
an  isolated burning  droplet.   This
model includes the effects of droplet
interaction  on drag and evaporation
rate, and  turbulence  effects on
droplet  penetration  into the com-
bustion  environment.  Experiments
on a laminar flow flat-flame burner,
and  a 100  kW  swirling,  turbulent
combustor have been conducted to
calibrate the  droplet ballistics model.
Experimental results have shown that
droplet penetration increases  with
increasing droplet initial size  and
initial velocity and decreases  with
increasing initial spacing.  Model
predictions  on droplet penetration
are very close to  experimental
findings  except  for changing initial
spacing of droplets in a stream.
  This  Project Summary   was
developed by EPA's  Air and Energy
Engineering  Research  Laboratory,
Research  Triangle  Park,  NC, to
announce key findings of the research
project that is fully documented In a

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separate report of the same title (see
Project Report ordering information at
back).


Introduction
   Of the  hazardous organic  wastes
produced  in the  U.S., about 75%  are
liquids  or  dissolved  in  liquids. With
landfill disposal  of these  wastes
becoming  increasingly unpopular due to
growing public concern and  increased
levels of hazardous  waste production,
thermal  destruction  is being considered
as  an  alternative  disposal  method.
Successful  incineration  requires that
flame radicals  and high temperatures be
combined  to  destroy  the  principal
organic  hazardous components (POHCs)
of the feed  waste, and to minimize the
formation  of  products  of incomplete
combustion  (PICs),  which  may be  as
hazardous as,  or even more  hazardous
than,  the original POHCs. Proper spray
atomization provides the  necessary
dispersion of liquid  fuel and waste  into
the oxidizer to avoid incinerator failure by
inadequate mixing.  Fuel  spray  nozzles
degrade with use and must be replaced
periodically. Therefore, there is a need to
understand and quantify how atomization
parameters limit liquid waste incineration
so  that  a  sound  rationale for  selecting
and replacing  spray nozzles  can be
defined.
   Four  group combustion  modes of  a
fuel droplet cloud have  been identified,
with single  droplet  combustion  being
applicable in practice to only a very  lim-
ited number of special situations. Such a
special  situation, however, can arise
during the  incineration of liquid haz-
ardous wastes, where  droplets with large
diameters  (as  much as  an order of
magnitude  larger than the mean) con-
gregate at  the outer edge of  fuel spray
cones. One or more of these large, errant
droplets may  individually pass  through,
or bypass, the main flame zone and lead
to a failure mode in the incinerator. For
example, bypassing  of as few as  one
drop out of 10 million  can lead to failure
to meet a destruction  removal efficiency
(ORE) in excess of 99.99%, as  required
by law.
   Motivation for this study lay, therefore,
in the need to predict single,  nonmean
droplet  trajectories in a turbulent flame
zone. To  this  end,  experiments have
been conducted  (1) to  determine min-
imum requirements  of  a  model that
successfully predicts  measured trajec-
tories of single  monodisperse  droplet
streams in  three-dimensional  turbulent
diffusion flames, and (2) to relate droplet
penetration distance to  potential  incin-
erator failure modes.
   A semi-emperical  numerical model
has been developed  for predicting the
ballistics of  burning  droplet streams in
turbulent diffusion flames. An important
input  to this  model  is  proper repre-
sentation of  drag coefficient on a non-
evaporating droplet in a stream.

Drag Coefficient
   While much information is available on
the relationship of the drag coefficient,
CD, of an isolated  sphere  to Reynolds
number,  Re,  little  is  available on the
dependence of CD on  Re and droplet
spacing,  nondimensionalized by droplet
diameter, D, as L/D. As droplet spacing
is  reduced, drag is reduced due to  wake
effects. For large droplet spacings, when
droplets  cease  to  interact,  the   drag
coefficient, CD™, for  each one is that of
an isolated sphere, and is a  function only
of  Re. For the slightly distorted  droplets
formed  by  a vibrating capillary droplet
generator, the recommended relation is:
   (CD)°°(Re)
        = 27Re
                                  0)
               -0.84
D1  am
                 L/D->°°, is  to  use  the asymptotic
                 expansion formula:

                   [CD(Re,L/D)r n = [CD(Re,L/D)] ~ n
        + [(CDf(Re)rn
where n is a parameter to be obtained b
experiment.

Trajectory Model
   A simple, numerical model  has beei
developed for  predicting the ballistics c
an isolated burning droplet. This  mod€
includes effects of droplet  interaction c
drag and  evaporation rate,  evaporatioi
effects on drag, and turbulence  effects oi
penetration.  The  model is  used to solvi
the uncoupled  equations of drople
motion in  a Lagrangian  framework,  i
three-dimensional grid structure  is es
tablished for specifying the backgroum
gas velocity (vg), temperature  (Tg), am
chemical  speciation. Calculations an
terminated  when  the  droplet  exits thi
computational domain.

Experimental  Methods and
Results
   The objectives of  this  study were (1
to measure  and  predict  the three-dim
ensional  trajectories  of  single mono
disperse droplet streams in  turbuler
diffusion flames,  and (2)  to study th
relation of these  trajectories with drople
incineration effectiveness.
   The droplet generator  is a  vibratin
orifice device with ancillary electronics t
facilitate droplet  spacing variation. Initi;
droplet diameter and spacing  wer
measured using  strobe   photography
Initial  droplet  velocity was calculate
from the vibrator  frequency setting. Th
fluid tested, chosen on  the  basis c
conductivity  (for  electrostatic  chargin
and deflection) and viscosity (for drople
formation),  was a mixture  of  80% (b
volume) Shell  Oil Company fuel additiv
ASA-3,  consisting  mostly of  xylen
(CaHio), and 20% distillate fuel  oil.
   To  determine  droplet spacing effect
on  the  non-evaporating   droplet  dra
coefficient,  trajectory  experiments  wer
conducted in  the cold flow, quiescer
environment in an  observation tunne
Empirical  parameters  a, b,  and
(Equations 2 and 3) were evaluated.
   Parameters,   a,  b,  and  n   wer
estimated  using  data from  10 full tr£
jectories. Nonlinear regression for p{
rameter estimation  was   accomplishe
using  an  algorithm  based on  a mu

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tidimensional search in parameter space
for the minimum  value  of  a sum of
squares functional  measuring deviation
from  the  data.  The  least squares
parameter  estimates were: a = 34.8,
b =-1.009,  and n = 0.7072.
   Measured and  predicted trajectory
endpoints are shown in  Figure 1 for the
10 trajectories in  regression  and  for 39
additional trajectories.
   Two-dimensional  laminar flow
experiments  in  a  bench-scale flat-
flame burner were  then  conducted to
calibrate the model, allowing minimum
model requirements to  be  determined
without the  complexities of  three
dimensions  and turbulence.  Trajectories
of nonburning and burning droplets were
measured to test  the model in this aero-
dynamically simple  environment.  These
results,  shown in Figures 2, 3, and 4,
demonstrate that  droplet  interaction
effects  on  evaporation  rate  and  evap-
oration  effects  on  drag are important
model requirements. An important result
from  these  two-dimensional  laminar
flow  experiments  was the determination
of the value of  63, the mass transfer
coefficient  of Phase 3 in  the  three-
phase burning liquid. A value of 0.1  for
B3 made model predictions of the droplet
burnout point to be in fair agreement with
the experimental observations.
   Three-dimensional turbulent  diffusion
flame experiments were conducted on a
100  kW combustor.  In baseline tests
without  droplet injection, the combustion
gas flow field was characterized in terms
of temperature and velocity.
   Droplet  trajectories were  measured
with  the aid of high speed photography.
Droplet  destruction  efficiency (DE) was
determined  by measuring  the increased
levels of exhaust unburned hydrocarbons
(UHC or surrogate  POHC) and carbon
monoxide (CO  or PIC)  due  to droplet
injection. These emissions  were mea-
sured in the stack where the combustion
gases are  well mixed. Flame ionization
was used to detect UHC, and an infrared
instrument was  used  for  CO  mea-
surement.  A removable  water-cooled
coil for quenching the combustion gases
was  inserted, resulting  in a  bulk  gas
residence time of 0.6 s before quench-
ing.
   Droplet trajectories were observed  for
a  variety  of initial  droplet stream con-
ditions, including variation in droplet size,
velocity, spacing, and injection  angle.
Finally,  droplet  incineration  was
measured with the quench coil inserted.
:   The experimentally measured droplet
axial penetration  and  the model
predictions are given in Table 1. Closely
spaced droplets penetrated farther than
isolated droplets. Little  effect of spacing
was observed for values greater than 10
diameters. Axial penetration  distance
roughly doubled with a  doubling of initial
velocity. Droplet penetration increased as
droplet diameter increased, as well. Little
change in axial penetration was observed
for isolated droplet injection at  0 and 45
degrees.  As shown  in Table  1,  these
trends are also predicted by the model
when  run  using 63 = 0.1 obtained earlier
in two-dimensional  laminar flow exper-
iments. However, the model needs to be
improved to predict droplet  spacing
effects on axial penetration a little better.
   Tests   were  conducted  with  the
water-cooled coil inserted  downstream
of the Type-C  flame  to  quench  the
combustion gases  and  measure droplet
incineration. Combustion gases  were
extracted from  the  stack,  with emissions
analyzed with  and  without  droplet
injection.  Droplet DE was calculated as
the mass  of carbon emitted as CO  and
UHC  divided by  the mass of carbon
injected.
   Droplet incineration results are shown
in Figure  5. The previously measured
mean  axial penetration is also shown,
with dashed  lines representing the range
of droplet  trajectories.  These  data
indicate  that   droplet DE  is  related
inversely  to  droplet  penetration, which
has been shown to depend on droplet
atomization properties.  Thus,  predicting
droplet ballistics may  be one  tool  for
anticipating incinerator failure modes  due
to poor atomization.

Conclusions
   Large droplet penetration of the flame
zone has  been observed as a function of
droplet atomization  parameters  in tests
with  single  monodisperse  droplet
streams injected into turbulent diffusion
flames.   The incomplete  incineration of
these  hydrocarbon  droplets has  been
approximated  by  measuring  CO  and
UHC emissions, and a strong correlation
with  droplet  penetrating has  been
observed. The short burning distances
and relatively  long  trajectories  prior to
ignition exhibited  suggest  that droplet
aerodynamics   prior to ignition  is  of
primary importance in understanding  and
predicting ORE.

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                              I
                                   140
                                   120
                                   100
                                    80
                                    60
                                    40
                                    20
                                                                     4
                                                                  In (L°/D)
                              !
                                   140
                                   120
                                   100
                                    80
60
                                    40
                                    20
      » Re° = 292, height =14.0 cm
      O Re° = 136, height =7.3 cm
      A Re° = 1 10. height = 7.3 cm
      » Re° = 89.6, height = 8.6 cm
                                                              345
                                                                  In (L°/D)
Figure 1.    Droplet trajectory endpoints. Points represent measured trajectory endpoims; lines are model results. Results from the best-fit
             non-linear regression of 10 full trajectories at Re° = 211, with the endpoint being the horizontal distance (range) that a droplet
             travels while falling a vertical distance (height) of 11.7 cm, are shown in the top plot. Model predictions of 39 more trajectory
             endpoints are shown in the bottom plot.

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            Liquid = Water/glycerine (nonburning liquid)
                o = Experimental results
               — = Model predictions
               D° = 237 urn
               V° = 8.236 m/s
           U°/D° = 2.8
         Cold Flow = 10cm
                                        N=64
                                        N=512
Figure 2.    Nonburning droplet trajectories in a laminar two-dimensional flame.
                             10
x (cm)
   15
                                                    20
            Liquid = Fuel Oil/ASA III (burning liquid)
               D° = 234 urn
               V° = 8.5 m/s
            L°/D° = 2.8
         Cold Flow = 10cm

                 ° = Experimentally observed endpoints
                                                                25
                                     30
                                                                  64
                                                              ,128
                                                          512
                                                                               N=1
Figure 3.    Experimental results for trajectory measurements of differently spaced droplet
            streams in a laminar two-dimensional flame.

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                             10
x (cm)
   15
                                                    20
                                                                25
                                     30
             Liquid = Fuel OH/ASA III (burning liquid)
          Cold Flow - 10 cm
                B3 = 0.1
                 A = Burnout of 2nd phase
                 D = Burnout of 3rd phase
                     (Trajectory endpoint)
                                                      128
                                                           64
                                                                               N=1
                                                                               2
Figure 4.     Model predictions for trajectories of differently spaced droplet streams in a laminar
             two-dimensional flame.

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         Table 1.     Measured Droplet Axial Penetration  in a  Three-Dimensional
                     Turbulent  Diffusion  Flame  and  Corresponding  Model
                     Predictions
              Input Test Condition
                      Experiment Axial
                      Penetration (cm)
                   Model Axial
                Penetration (cm)
Nominal: D"  =
         V  =
      L°/D°  =
         6"  =
D"   =  306 pm
     =  371 nm
V   =  3.8 mis
     =  7.4 m/s
                          234 tun
                          6.2 mis
                          737
                          30 degrees
         L°ID°
         6°  =
=  2.54
=  4.80
=  9.70
=  77.50
=  34.00
0 degrees
45 degrees
                           20-45
35-60
45-70
15-25
30-60
35-75
30-65
20-55
20-45
20-40
20-45
20-50
                     30-55
40-64
53-68
20-42
32-65
32-59
32-59
31-59
31-59
31-59
20-55
20-55
     60

     50

     40
 %  30
 c
 01
 Q.
     20
     70
                                  100
           100  200  300  400  500
           Initial Diameter (pm)
           (a) Size Variation
                 70
                                  /OO
                                     •    •   -^•^^0   -
                                     2    4   6    8    10    §•
                                     Initial Velocity (m/s)         ^
                                     (b) Velocity Variation
                                    •i     •     •    i     1700   D
             In (L°/D°)
             (c) Spacing Variation
                                                t         In   f |-
                                 l    75   30   45   60   75    $ "~
                                  Injection Angle (degrees)       a.
                                  (d) Angle Variation             :$.
Figure 5.    Droplet destruction efficiency and axial penetration results.

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