Aerosols. An Industrial and environmental science by George Hidy (Auth.)

By George Hidy (Auth.)

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T h e p a r a m e t e r K n can be increased both by changing particle size and by gas p r e s s u r e since the m e a n free path of the gas is proportional to p r e s s u r e . The settling velocity can b e determined by watching droplet fall rates with­ out the electric field. T h e n the fall rate can be o b s e r v e d u n d e r the simulta­ neous action of gravitational and electrical forces acting in different direc­ . By charging particles with tions. Such experiments will yield the velocity qE different a m o u n t s of charge, o n e can vary Q, which is ze, w h e r e ζ is the n u m b e r of unit charges e.

Perhaps the simplest c a s e to illustrate the difference b e t w e e n particle flow and fluid flow is the deposition from a particle cloud traveling horizontally through a straight channel of length L into a gravity field. T h e gas flow is t w o dimensional, laminar, and horizontally uniform, with m e a n velocity qx. T h e flow is sufficiently slow that vertical convective currents are small c o m p a r e d with the gravitational settling velocity. F o r the p u r p o s e of this and subse­ quent calculations, let us a s s u m e that t h e particles are infinitely small 34 2 The Dynamics of Small Particles (b) Fig.

Infinitely long ribbon of width 2a (a) Without separation (b) With separation 2. Elliptical cylinder, major to minor axis ratio X 3. Circular cylinder 4. Sphere 6 5. Circular disk 6. Flat jet striking plane at right a n g l e s with / / / W - > oo of Stk t î 4 / ( π + 4) i ( l + X) J τζ π 116 21 π a Estimates based on potential flow near a stagnation point as bderived by Levin (1953). H/W is the ratio of the distance from the jet to the plate and W is the jet width or diameter. 2 Accelerated Motion of Particles—Deposition Processes 37 inviscid flow p a t t e r n remains a useful approximation in the regime near the forward stagnation point of the collector, w h e r e most of the particles impact.

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