By George Hidy (Auth.)

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Extra resources for Aerosols. An Industrial and environmental science

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1 Transport in Steady Rectilinear Motion The applicability of M a x w e l l ' s equation is limited in describing particle growth or depletion by m a s s transfer. Strictly speaking, m a s s transfer to a small droplet c a n n o t b e a steady p r o c e s s b e c a u s e the radius c h a n g e s , caus­ ing a change in the transfer rate. H o w e v e r , w h e n the difference b e t w e e n vapor concentration far from the droplet and at the droplet surface is small, the transport rate given by M a x w e l l ' s equation holds at any instant.

1 with t h e theory from different + of investigators. T h e form in the figure c o r r e s p o n d s t o the ratio of t h e rate transfer normalized t o the kinetic theory value rather than Φ / Φ ς. 1 Kn, KNUDSEN NUMBER, X:/a Fig. 2 . 1 . A comparison of the evaporation rate for dibutyl sebacate (DBS)(A) in N ( B ) with 2 the F u c h s - S u t u g i n (1971) model [Eq. 36a)]. S h o w n for comparison are the results from other theoretical forms including the S i t a r s k i - N o w a k o w s k i (1979) ( S - N ) model, Fuchs (1959), and Loyalka (1973).

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. 2 . 2 . Schematic diagram of particle and fluid motion around a cylinder (a) and an inclined flat plate (b). Streamlines are s h o w n as solid lines, while the dotted lines are aerosol particle paths.

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