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Creeping flow around a deforming sphere

Published online by Cambridge University Press:  29 March 2006

S. P. Lin
Affiliation:
Clarkson College of Technology, Potsdam, New York Present address: Department of Applied Mathematics and Theoretical Physics University of Cambridge.
A. K. Gautesen
Affiliation:
Clarkson College of Technology, Potsdam, New York

Abstract

The flow of an incompressible viscous fluid past a deforming sphere is studied for small values of the Reynolds number. The deformation is assumed to be radial but is otherwise quite general. The case of S = O(l), where S is the Strouhal number, is investigated in detail. In particular, the drag is obtained up to O(R2 In R), where R is the Reynolds number.

Type
Research Article
Copyright
© 1972 Cambridge University Press

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References

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