_ ROTATING-DISK-SAMPLER MEASUREMENT OF AEROSOLS

227

where k,, the deposition velocity, is defined by the preceding expres-

sion and n(r) dr is the ambient concentration of particles in the range
r to r-+ dr. The deposition flux may be expressed in terms of the cumulative distribution of particles measured on the electron micro-

graphs, ZX(r):
dJ =—

d Z(r)

Ar

(5)

where A is the area examined on the grid and is the total sampling

wo --[S22(ch)

time of the rotating disk. Hence, from Eqs. 4b and 5,
_

td Zr)

1

where n(r) is the time-averaged distribution defined by Eq. 3.

°

The particle diffusion coefficient, D, can be estimated from the

Stokes — Einstein expression

_kT

(7)

Dey

where k is Boltzmann’s constant and T is the absolute temperature,
The coefficient of frictional resistance, f, can be calculated (assuming

a Spherical particle) by the expression
_ 6rur

where pis the viscosity of the medium (air), The semiempirical cor-

rection factor recommended by Davies® is

C=1+2 (1.257 + 0.400078 9")

(9)

when the mean free path of the air, A, is given by
nM\%

A= 0.708v 24)

(10)

where M is the molecular weight, v is the kinematic viscosity, and R is
the gas constant,
.
Since each sample grid was examined at two magnifications, there

are two 2(r) curves for each run, one covering the size range below

about 0.02 u and the other the range 0,015 to 0.08 u. In principle, the
two sets of X(r) data can be combined to form one Set by the application
of a correction factor involving the areas examined at each magnification. This method was rejected since the uncertainties of low particle
count around 0.015 u for the smaller particle set and inaccurate sizing
around 0.015 » for the larger particle set would magnify the error in

the

overlap

region.

For these reasons, it was decided to seek an

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