United States
                   Environmental Protection
                   Agency	
Atmospheric Research and Exposure  v
Assessment Laboratory           .3
Research Triangle Park NC 27711   -^
                   Research and Development
EPA/600/S3-88/057 Aug. 1989
v°/EPA         Project Summary
                  Application  Guide for Source
                  PM10  Measurement with
                  Constant Sampling  Rate
                  Wffiam E. Farthing and Sherry S. Dawes
                    This manual presents a method,
                  Constant Sampling Rate (CSR), which
                  allows determination  of stationary
                  source  PM10  emissions  with
                  hardware similar to that used for
                  Methods 5 or 17.   The operating
                  principle of the method is to extract a
                  multipoint sample so that errors due
                  to spatial variation of particle size
                  and anisokinetic sampling are kept
                  within predetermined limits.  Current
                  specifications were designed to limit
                  error due to spatial variations to 10%.
                  The maximum allowable error due to
                  anisokinetic sampling is ±20%; in es-
                  sentially all  sampling situations,
                  cancellation of  sampling error will
                  limit overall anisokinetic sampling
                  error to much less than this value.
                    This manual specifically addresses
                  the use of the CSR methodology for
                  determination of stationary source
                  PM10 emissions.  Material presented
                  in this manual includes:  calibration
                  of sampling train components, pre-
                  test setup calculations, sample rec-
                  overy, test  data reduction, and rou-
                  tine equipment maintenance.
                    This  Project Summary  was
                  developed  by EPA's  Atmospheric
                  Research and Exposure Assessment
                  Laboratory,  Research Triangle  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
  To ensure that a representative sample
of particulate matter is obtained from a
flowing gas stream,  three key factors
must be considered.  First, the length of
the sampling period must be adequate to
formulate an  appropriate  temporal
average of stream conditions.  Second,
the location and  number of sampling
points must be chosen so that a spatial
average of emissions across the sampling
plane is obtained.  Finally, sampling must
be performed  isokinetically so that  the
sample is not  biased  with  respect to
particle size.   These conditions  are
addressed  in  the EPA methods  for
measuring total particulate  emissions
(Methods 5 and 17) by specifying
sampling  periods which take into account
process  cycles, traversing techniques
rather than  single point sampling, and
adjustments in sample  flow  rate (i.e.,
nozzle  velocity) to match local stream
velocity at each point of the traverse so
that isokinetic sampling is maintained.
  However, a size-specific method, such
as one for measuring particulate matter of
aerodynamic diameter s 10 vim (PM10),
must combine the considerations  of
obtaining  a  representative sample with
the need  to segregate the sample  into
two or more size fractions. Inertial sizing
devices such as cascade impactors and
sampling  cyclones must be operated at a
constant flow rate to maintain constant
size cuts.  For  a fixed  nozzle size,  this
precludes any adjustment  in nozzle

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velocity to maintain isokinetic  sampling.
Without the use of new sampling hard-
ware, a  PMio sampling method must
then become a compromise between the
conflicting  requirements of inertial par-
ticle sizing and representative  sampling.
Without the use of new sampling hard-
ware, a  PMio sampling method must
then become a compromise between the
conflicting  requirements of inertial par-
ticle sizing and representative sampling.
  This  manual  presents  a  method,
Constant Sampling Rate (CSR),  which
allows determination of PMio emissions
from  stationary sources with  hardware
similar to that used for Methods 5 or 17.
The operating principle of the method  is
to extract a  multipoint sample so that
errors due to spatial variation of particle
size and anisokinetic  sampling  are kept
within predetermined limits.   Current
specifications were designed to limit
error  due to spatial variations  to 10%
The maximum allowable error due  to
anisokinetic  sampling is  ±20%;  in
essentially  all  sampling  situations,
cancellation of sampling  error  will limit
overall anisokinetic sampling  error  to
much less than this value.

Operating  Principles
  In developing  the CSR  strategy,
several  specific  objectives  shaped  the
details  of the  method.    First, the
technique  was designed to  minimize
changes in equipment from that used for
Methods 5 or 17.   Second, the details of
the traversing strategy were  selected to
limit errors  from  spatial variation and
anisokinetic  sampling to  the  level  of
more intrinsic errors (such as fluctuations
in  source   emissions   or  basic
measurement inaccuracy).    Finally,
measurements  would  be  made  to
provide an  average  representative  of
emission rates rather than concentration.
  To obtain a sample  which is unbiased
with respect  to particle  size, one must
sample  isokinetically.  That  is, the gas
velocity of  the sample stream entering
the sampling nozzle must match the local
gas velocity in the duct from which the
sample  is being withdrawn.   If the gas
velocity in the nozzle is greater than the
local  duct velocity, the flux of large
particles  through  the  nozzle cross-
section will be less than that  for the free
stream;  large  particles are those  which
do not follow flow streamlines because of
their inertia.  As a result, the collected
mass  of large particles will be selectively
depleted.  Conversely, if the gas velocity
in the nozzle  is lower than the  local duct
velocity, the flux of large particles though
the nozzle  cross-section will be greater
than  that  of  the free stream.   The
collected mass of large particles in this
instance will  be selectively enriched.
The resulting concentration of very  small
particles  in   the  sample  remains
unchanged from that in the duct in either
case. The resulting concentration of very
large  particles in the sample approaches
the ratio of the duct velocity to the nozzle
velocity.
  For any  given particle diameter, the
anisokinetic  sampling  error may  be
expressed  as  the aspiration  coefficient,
A,  which is defined as  the  ratio  of
measured  concentration   to  actual
concentration,  in terms of  the particle
Stokes  number, K, and  the  ratio  of
stream velocity, v, to nozzle velocity, u.
        A = 1+ (R - I)
   B

(B+l)
where   R =     velocity ratio v/u
        B =     (2 + 0.617/R)K
        K =     particle Stokes number
                with  respect to  the
                nozzle, iv/d
        i =     particle relaxation time
                CD2/i8n, seconds
        C =     Cunningham slip factor
        D =     particle  aerodynamic
                diameter
        p = gas viscosity, poise
        d = nozzle diameter
  The  equation  shows that, for  given
stack  conditions and particle  size,
limiting  the  anisokinetic sampling error
becomes a question  of  limiting  the
velocity ratio, R.  In other  words, for a
given limit on  error due  to anisokinetic
sampling, maximum  and  minimum
values  of R (Rmax arid Rmin)  will yield
results  within the stated limits.  It may
also be noted from the equation that B is
proportional to particle diameter squared.
This indicates that anisokinetic sampling
error decreases with decreasing particle
size. In  other words, when  sampling  for
PM-io emissions, the velocity  ratio,  R,
could be outside the 0.9 to 1.1  range
specified for total emissions in Methods
5 and   17 and  still retain equivalent
accuracy.
  The choice of the limits on anisokinetic
sampling error for CSR is important.   An
overly  generous  range could produce
data with an excessive amount of error.
At the other extreme, small limits  would
restrict the velocity ratio to the  point that
most sites would  require multiple nozzle
sizes for a complete  traverse,  which
would  increase the on-site sampling
effort.  For the purposes of PM^, limits
of  ±20% on error due  to anisokinetic
sampling  were  chosen to  specify  the
limits on the velocity  ratios, Rmm an
Rmax-   Actual sampling  error for moi
sources will be less than the ± 20% lim
for  two reasons.   First, point-by-poir
R values will usually be something les
than the limits,  Rmtn and Rmax.  an
cancellation of errors will occur becaus
R-1  values  will  be  negative at som
points  and  positive at  others.  Seconc
the  limit of  ±20% was  determined b
assuming a  monodisperse  sample  c
10-nm  particles.   In actuality, the PM-\
sample is composed  of particles  wit
aerodynamic diameters less than  10 urn.
  The  goal of a traversing strateg
should  be to reduce error due to spatie
variation  so  that it is  not the dominan
source  of error but is comparable to  o
less than other sources of error.  In gen
eral, the PM^ fraction is expected to bi
less stratified than total particulate emis
sions.   The lower inertia of the PM-n
fraction would cause less deviation fron
gas flow in  bends and faster dampmc
from turbulent diffusion once stratificatior
is produced.  On the  basis of available
PM-io  profiles, using  8 to   12  traverse
points is expected to reduce this type o
error to less than ± 10%.

Sampling Hardware
  As stated previously,  one  of the
objectives during the development of the
CSR technique  was  to make  use  o
existing sampling  equipment. Therefore
the  hardware  changes  required  tc
operate a CSR sampling  system  have
been kept to a minimum. Like a standarc
total particulate sampling train,  a CSF
system may  be operated  with  an  out-
of-stack filter (analogous to  Method  5;
or an in-stack filter (analogous to Meth-
od 17).
  The  primary difference between CSP
and  Methods 5  or 17 hardware is the
PM^o  sampling  device.    Although  z
number of particle sizing devices may be
considered  for use as a PM-io device.
practical  considerations eliminate several
of the choices.  For the purposes of this
method,  the  only single-stage device
which  should be  considered is  an in-
stack cyclone.  Although a single stage of
a cascade  impactor  may   provide the
appropriate size segregation, problems
such  as particle bounce  and  re-
entrainment keep this  from being an
acceptable  choice.  The multistage de-
vice recommended  for  use with  this
method is a cascade impactor. Although
a series cyclone  such as  the  SRI/EPA
five-stage series  cyclone provides  par-
ticle sizing  similar to  that of a cascade
impactor, the mass loading necessary for
adequate sample  retrieval would require

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unacceptably long  run times for  most
outlet concentrations.
  Before any particle  sizing device  is
used as a PM^ sampler,  it must be
shown   to   meet some  specific
performance requirements.   These
requirements are designed to ensure that
the relationship between  collection
efficiency,  particle  diameter,   and
operating conditions is well defined and
that  the  performance  of  the sampling
device is not disturbed by the sampling
nozzles used in practice.
  One sampling  device known to meet
the performance  specifications  is the
commercially  available  version  of
Cyclone I, the first stage of the SRI/EPA
five-stage series cyclone.   The  outer
dimensions and physical  appearance of
the cyclone may vary, depending on the
specific commercial source.  The critical
inner dimensions, however, are standard-
ized to the original  design parameters.
Laboratory  calibrations  have shown
Cyclone I produces a  10-|im 050  at  a
flow rate of approximately  0.5 dscfm; the
precise flow rate  will  depend  on local
stack conditions.

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William E. Farthing and Sherry S. Dawes are with the Southern Research Institute,
  Birmingham, AL 35255.
Thomas £ Ward is the EPA Project Officer (see below).
The complete report,  entitled "Application Guide for  Source PM10 Measurement
  with Constant Sampling Rate," (Order No. PB 89-193 3201 AS; Cost: $15.95,
  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:
        Atmospheric Research and Exposure Assessment Laboratory
        U.S. Environmental Protection Agency
        Research Triangle Park, NC 27711
United States                   Center for Environmental Research
Environmental Protection         Information
Agency                         Cincinnati OH 45268
Official Business
Penalty for Private Use $300

EPA/600/S3-88/057

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