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The force on a small sphere in slow viscous flow

Published online by Cambridge University Press:  19 April 2006

Donald A. Drew
Affiliation:
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York 12181.

Abstract

The force on a small sphere translating relative to a slow viscous flow is found to O(Re½) for two different fluid flows far from the sphere, namely pure rotation and pure shear. For pure rotation, the O(Re½) correction to the Stokes drag consists of an increase in the drag. For pure shear, the O(Re½) force contains a component perpendicular to the Stokes drag force.

Type
Research Article
Copyright
© 1978 Cambridge University Press

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References

Childress, W. S. 1964 J. Fluid Mech. 20, 305.
Drew, D. A. 1976 Arch. Rat. Mech. 62, 149.
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice Hall.
Harper, E. Y. & Chang, I. D. 1968 J. Fluid Mech. 33, 209.
Herron, I. H., Davis, S. H. & Bretherton, F. P. 1975 J. Fluid Mech. 68, 209.
Saffman, P. G. 1965 J. Fluid Mech. 22, 385.
Saffman, P. G. 1968 J. Fluid Mech. 31, 624.
Soo, S. L. 1967 Fluid Dynamics of Multiphase Systems. Blaisdell.