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FRIEDLANDER AND PASCERI

air. They measured the rates of dissolution of benzoic acid, cinnamic
acid, and 8-naphthol in water and the rateof evaporation of naphthalene
in air. Theexperimental results agreed well with theory.

The rotating disk acts as a kind of centrifugal fan drawing in air
from afar and hurling it out at its periphery. Continuity requires that
the component of the fluid velocity normal to the disk be finite even at
an infinite distance from the disk surface. The limiting value of this

velocity component is 0.886 (w)v)”; the limiting value is reached to a
close approximation not far from the disk surface at a distance about

equal to 5 (v/wy)*. For w) = 2000 rpm, the experimental condition, and
vy=0,150 cm’/sec for air, the limiting velocity of 5 cm/sec was attained at about 1.5 mm from the disk surface, With reasonable precautions against major drafts, velocities of this magnitude will be of controlling importance in the transfer process.

Olander’ has considered the response of the transport rate toa
rotating disk to a sudden concentration change at its surface. A step
change of concentration at the surface is equivalent to a step change at
the edge of the concentration boundary layer. For Schmidt numbers

between 10? and 10*, Olander found the mass transfer rate was within
5% of the new steady rate in the times t = 8/w, and t = 30/wo, respec-

tively. For the experimental wy used in this study, the maximum time
was about 0.25 sec.
Since the response time of the disk is so small, it may be considered to follow changes of concentration in the ambient atmosphere

instantaneously. Hence, if a size-distribution function is determined
for a sample run, it will have the time-averaged form

n(r)

_ fin(r,t) at
=

where 7 is the sampling time.

Consistent with the theory of the diffusion battery, it is assumed
that the disk is a perfect sink; i.e., Cy = 0. Since a particle adhering to
a rotating disk is subjected to centrifugal force, it is necessary to
consider the magnitude of the force at the experimental rotation speeds.

In this work, traversing in the electron microscope was limited to an
inner circle of 0.03 cm in radius on the sampling grid. The acceleration on a particle situated on the circumference of this circle is about
2 G. Jordan® has presented calculations on the approximate forces

required to dislodge small particles from surfaces and has shownthat
they are considerably greater than 2G.

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