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Creeping flow around a deforming sphere

Published online by Cambridge University Press:  29 March 2006

S. P. Lin  and
A. K. Gautesen
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
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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
Information
Journal of Fluid Mechanics , Volume 56 , Issue 1 , 14 November 1972 , pp. 61 - 71
Copyright
© 1972 Cambridge University Press

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References

Abramowitz, M. & Stegun, I. A. 1964 Handbookof Mathematical Functions. Washington: U.S. Government Printing Office.
Chester, W. & Breach, D. R. 1969 J. Pluid Mech. 37, 751.
Gautesen, A. K. & Lin, S. P. 1971 Siam J. of Appl. Math. 21, 469.
Lighthill, M. J. 1952 Commun. Pure Appl. Math. 5, 109.
Lagerstrom, P. A. & Cole, J. D. 1955 J. Ratl. Mech. & Anal. 4, 817.
Proudman, I. & Pearson, J. R. A. 1957 J. Pluid Mech. 2, 237.