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Effect of finite boundaries on the Stokes resistance of an arbitrary particle

Published online by Cambridge University Press:  28 March 2006

Howard Brenner
Howard Brenner
Affiliation:
Department of Chemical Engineering, New York University
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Abstract

A general theory is put forward for the effect of wall proximity on the Stokes resistance of an arbitrary particle. The theory is developed completely for the case where the motion of the particle is parallel to a principal axis of resistance. In this case, the wall-effect correction can be calculated entirely from a knowledge of the force experienced by the particle in an unbounded fluid, providing (i) that the wall correction is already known for a spherical particle and (ii) that the particle is small in comparison to its distance from the boundary. Experimental data are cited which confirm the theory. The theory is extended to the wall effect on a particle rotating near a boundary.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 12 , Issue 1 , January 1962 , pp. 35 - 48
Copyright
© 1962 Cambridge University Press

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