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43) It i s equivalen t t o th e rati o o f th e stoppin g distanc e i an d th e radiu s o f th e obstacle. F o r " p o i n t " particle s i n Stoke s flow, th e Stoke s n u m b e r i s th e onl y criterion o t h e r tha n g e o m e t r y tha t determine s similitude fo r th e shap e o f th e particle trajectories . T o e n s u r e h y d r o d y n a m i c similarity , i n general , th e col lector Reynold s n u m b e r als o mus t b e p r e s e r v e d , a s wel l a s th e rati o I' Rla, called th e interceptio n p a r a m e t e r .

T o find the p a r a m e t e r , w e can apply E q . 2 Accelerated Motion of Particles—Deposition Processes 33 tion of a particle by friction in a stationary gas. 37) if the initial velocity is q0. The distance traveled by the particle is χ = £ qp dt' = β " V I 1 - exp(-Of)]. 38) The significance of ft" is clear; it is a constant which is the relaxation time scale τ for stopping a particle in a stagnant fluid. Values of the reciprocal -1 relaxation time are listed for different particle sizes with the mobility Β in Table 2 .

6 for 1^ 0. T o illustrate the form of the relationship b e t w e e n the collection efficiency and the Stokes n u m b e r , consider an aerosol streaming around a s p h e r e . Calculations can be m a d e for t w o e x t r e m e cases of gas flow around the sphere, first inviscid motion, w h e r e R e —> o°; second for viscous flow, w h e r e Re is finite. T h e e x t r e m e for the second regime is the case of viscous flow, w h e r e R e ^ 1. In the inviscid flow c a s e , the streamlines around the b o d y are symmetrical a r o u n d it; in viscous flow w h e r e Re <^ 1 the streamlines also are symmetrical, but are p u s h e d o u t w a r d relative to the inviscid case as a conse­ quence of viscous effects.

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