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The hydrodynamic interaction of two spheres moving in an unbounded fluid at small but finite Reynolds number

Published online by Cambridge University Press:  20 April 2006

Yukio Kaneda  and
Katsuya Ishii
Yukio Kaneda
Affiliation:
Department of Nuclear Engineering, Queen Mary College, London E1 4NS Permanent address: Department of Applied Physics, Nagoya University, Nagoya.
Katsuya Ishii
Affiliation:
Department of Physics, University of Tokyo, Tokyo
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Abstract

The forces on two spherical particles moving in a fluid are investigated by the method of matched asymptotic expansions in the small Reynolds number, for the case when the particles are within each other's inner region of expansion. The particular case in which the distance l between the sphere centres is very much larger than the sphere radii a and b is studied in detail. The asymptotic expansion of the force on one of the spheres for small a/l and b/l is obtained. Some properties of the force, not to be expected from the Stokes equation, are revealed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 124 , November 1982 , pp. 209 - 217
Copyright
© 1982 Cambridge University Press

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