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On the slow viscous rolling of a sphere in contact with a permeable surface

Published online by Cambridge University Press:  26 February 2010

Avinoam Nir
Avinoam Nir
Affiliation:
The Institute of Applied Chemical Physics, The City College of New York, New York, New York 10031, U.S.A.
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Abstract

An exact solution for the velocity field induced by the slow rolling motion of a sphere in contact with a permeable surface is derived. The porous solid and the viscous fluid each occupies a semi-infinite space.

It is shown that, by the use of conformal mapping, the problem is reduced to a fourth order ordinary linear boundary value problem. As the permeability of the porous body diminishes the important functionals, e.g. the force and torque resisting the rolling motion of the sphere, are divergent. The nature of this divergence is found and the dependence on the permeability of the porous solid is explicitly evaluated.

Type
Research Article
Information
Mathematika , Volume 27 , Issue 1 , June 1980 , pp. 104 - 112
Copyright
Copyright © University College London 1980

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