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The effect of weak gravitational force on Brownian coagulation of small particles

Published online by Cambridge University Press:  26 April 2006

Y. G. Wang  and
C. S. Wen
Y. G. Wang
Affiliation:
Department of Physics, Nankai University, Tianjin, China Institute of Atmospheric Physics, the Chinese Academy of Sciences, Beijing, China.
C. S. Wen
Affiliation:
Department of Physics, Nankai University, Tianjin, China
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Abstract

The coagulation rate of a dilute polydisperse suspension of particles is considered for small Péclet number, which provides a measure of the ratio of the relative gravity-induced motion to Brownian motion between two rigid spheres. In particular, a fourterm expansion for the dimensionless coagulation rate (Nusselt number) as function of the Péclet number is developed by making use of a singular perturbation method. In the limit of the radius of one of the two spheres becoming small, the result agrees with Acrivos & Taylor's (1962) work on mass transfer to spheres at small Péclet number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 214 , May 1990 , pp. 599 - 610
Copyright
© 1990 Cambridge University Press

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