George Hidy (Auth.)'s Aerosols. An Industrial and environmental science PDF

George Hidy (Auth.)'s Aerosols. An Industrial and environmental science PDF

By George Hidy (Auth.)

ISBN-10: 0123472601

ISBN-13: 9780123472601

ISBN-10: 0323142516

ISBN-13: 9780323142519

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Additional info for Aerosols. An Industrial and environmental science

Sample text

T h u s , in the contin­ u u m theory t h e r e can be no t h e r m o p h o r e t i c effect. In analogy to their motion in a thermal gradient, particles may experience a force associated with nonuniformities of composition in the suspending gas mixture. This force is called the diffusion or diffusiophoretic force. F o r the case of equimolar counterdiffusion in a dilute binary mixture of c o m p o n e n t A in Β , η A > nB , amA = amB = 1, and the force acting on a spherical particle is 2 /2 F d = *R ng(2nkTY I ( l + | ) DAB VxA {{mf - mf) d\mf2 _ / 2mA mB \m 03UR\ d AB \m Xg y xntA + + m rn /) A B JJ B < h ~ R 0 5 H e r e xA is the mole fraction of species A and V x A is the gradient in mole fraction of species A .

25 ) F o r large r P e th e empirica l Frôsslin g equatio n i s ofte n u s e d ; i t ha s th e for m 1 7 2 N u « 2( 1 + ^ P r ^ R e ). 26) This relatio n r e d u c e s t o th e for m o f E q . 20 ) a s P e —> 0 , bu t doe s no t correctly fit th e theoretica l expressio n o f Acrivo s an d Taylor . 39 . 65. W h e n th e t h e o r y o f t r a n s p o r t i s develope d takin g int o accoun t nonconti nuum effects , th e t h e o r y m u s t b e correcte d a s i n th e cas e o f m o m e n t u m 28 2 The Dynamics of Small Particles transfer.

Taking into ac­ count the fact that the particles in accelerated motion do not follow the gas speed, the drag force is D = (6^gR/A)(qg - q p) . Then the force balance on a particle in motion is dt I (1) + © (3) « w J> [($)-($)]/« -'>" + Fe + F N . 35) (6) In E q . 35), i 0 d e n o t e s the starting time for particle acceleration, and q g represents the gas velocity near the particle, but far enough a w a y not to be disturbed by the relative motion of the b o d y . T h e terms in E q . 35) have the following meanings: term (1) on the right is the viscous resistance given by S t o k e s ' law.

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

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