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The effect of two plane walls on the motion of a small sphere in a viscous fluid

Published online by Cambridge University Press:  12 April 2006

Osamu Sano  and
Hidenori Hasimoto
Osamu Sano
Affiliation:
Department of Physics, Faculty of Science, University of Tokyo, Japan
Hidenori Hasimoto
Affiliation:
Department of Physics, Faculty of Science, University of Tokyo, Japan
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Abstract

A theoretical study is made of the motion of a small sphere in an incompressible viscous fluid bounded by two plane walls. The analysis is based on the Stokes equations of motion and the method of reflexions is employed to obtain the lowest-order wall effect on the sphere, which is allowed either to rotate or not as it translates in an arbitrary direction. The effect of two plane walls on the force and torque (or angular velocity) experienced by the sphere is not accurately estimated by superposing the contributions from the two individual walls.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 87 , Issue 4 , 29 August 1978 , pp. 673 - 694
Copyright
© 1978 Cambridge University Press

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