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Drag on a sphere in slow shear flow

Published online by Cambridge University Press:  26 April 2006

Kunimasa Miyazaki ,
Dick Bedeaux  and
Josep Bonet Avalos
Kunimasa Miyazaki
Affiliation:
Department of Physical and Macromolecular Chemistry, Gorlaeus Laboratories, PO Box 9502, 2300RA Leiden, The Netherlands Present address: Department of Applied Physics, Tokyo Institute of Technology, Meguro-ku, Tokyo 152, Japan.
Dick Bedeaux
Affiliation:
Department of Physical and Macromolecular Chemistry, Gorlaeus Laboratories, PO Box 9502, 2300RA Leiden, The Netherlands
Josep Bonet Avalos
Affiliation:
Institut Charles Sadron (CNRS-ULP), 6 rue Boussingault, 67083 Strasbourg Cedex, France Permanent address: Departament de Física Fonamental, Facultat de Física, Universitat de Barcelona, Diagonal 647, E-08028 Barcelona, Spain.
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Abstract

A general closed form for the mobility tensor of a sphere moving in a fluid in stationary homogeneous flow is derived using the induced force method up to the first order in the square root of the Reynolds number based on the velocity gradient of the unperturbed flow. The closed form for the mobility tensor is valid for the time-dependent case as well as for the stationary case. As a special case, we calculate it explicitly for a simple shear flow. The result for the x, z-component for the stationary case, which gives the lift force, agrees with the value calculated by Saffman.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 296 , 10 August 1995 , pp. 373 - 390
Copyright
© 1995 Cambridge University Press

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