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Unsteady flow past a sphere at low Reynolds number

Published online by Cambridge University Press:  20 April 2006

Takao Sano
Takao Sano
Affiliation:
Department of Mechanical Engineering, University of Osaka Prefecture, Sakai, Osaka, Japan
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Abstract

This paper complements an earlier paper by Bentwich & Miloh in which the matched asymptotic expansion type of solution is presented for an unsteady low-Reynolds-number flow past a sphere when a constant rectilinear velocity is suddenly imparted to the sphere. It is shown that the matching procedure proposed in the earlier paper is incomplete. The present paper represents a complete procedure for successful matching; the drag of the sphere is calculated up to the term of O(Re2 In Re) using the new procedure.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 112 , November 1981 , pp. 433 - 441
Copyright
© 1981 Cambridge University Press

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References

Bentwich, M. & Miloh, T. 1978 J. Fluid Mech. 88, 17.
Bentwich, M. & Miloh, T. 1981 J. Engng Math. (to be published).
Dennis, S. C. R. & Walker, J. D. A. 1972 Phys. Fluids 15, 517.
Proudman, I. A. & Pearson, J. R. A. 1957 J. Fluid Mech. 2, 237.
Taneda, S. 1956 Rep. Res. Inst. Appl. Mech. Kyushu Univ. 4, 99.
Van Dyke, M. 1975 Perturbation Methods in Fluid Mechanics. Parabolic Press.