By George Hidy (Auth.)
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Extra resources for Aerosols. An Industrial and environmental science
31 ) w h e r e p 0 i s th e v a p o r p r e s s u r e o v e r a flat surfac e o f th e liquid , S i s th e supersaturation rati o p s/po, CR i s th e surfac e tensio n o f th e droplet , an d R* i s the " c r i t i c a l " drople t radius . T h e critica l siz e i s th e nucleu s siz e whic h wil l j u s t b e stabl e a t t h e r m o d y n a m i c equilibriu m wit h it s o w n vapo r an d wil l no t evaporate. I f th e drople t i s a solution , the n th e vapo r p r e s s u r e - p a r t i c l e siz e relationship b e c o m e s m o r e c o m p l e x , an d shoul d b e accounte d for .
Dp = BkT = km- /mp Given the definition of a m e a n free path for particles as λ ρ = ^pd~\ average thermal speed of a particle is m ^ = (SkT/nmp) , and Dp = Ι π ^ ρ Χ ρ . 3 Diffusio n an d Brownia n Motio n S o m e characteristi c value s o f t h e s e aeroso l t r a n s p o r t propertie s o f particle s in ai r ar e liste d i n T a b l e 2. 1 fo r reference . T h e simples t c a s e fo r whic h particl e diffusio n h a s b e e n analyze d i s t h e situation w h e r e t h e r e i s n o ga s motion , o r th e secon d t e r m o n th e lef t o f E q .
T h e m o m e n t u m gradien t i s p% UJR. 79 x x x x x x x x x Mean free path 3 2 10 3 IO4 10 5 IO 6 10 6 10 7 10 8 IO8 10 in Air Mean thermal speed Drag coeff. 39 x x x x x x x x x IO' 6 IO" 6 10~ 6 IO' 6 IO" 6 IO 10 10 -6 IO Definitions are given in the Nomenclature listing. w h e r e g is the gravitational force p e r unit m a s s . T h e settling velocity is 2 qG - | / ? 2) since pp> p g. T h u s , the fall velocity is proportional to the cross-sectional area of the particle, and the ratio of its density to the gas viscosity.