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Slow flow past ellipsoids of revolution

Published online by Cambridge University Press:  28 March 2006

D. R. Breach
D. R. Breach
Affiliation:
Department of Mathematics, University of Melbourne
Now at the Department of Applied Mathematics, University of Sheffield.
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Abstract

The results of Proudman & Pearson (1957) for a sphere are generalized to apply to all ellipsoids of revolution both prolate and oblate.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 10 , Issue 2 , March 1961 , pp. 306 - 314
Copyright
© 1961 Cambridge University Press

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References

Kaplun, S. & Lagerstrom, P. 1957 J. Math. Mech. 6, 585.
Kaplun, S. 1957 J. Math. Mech. 6, 595.
Oberbeck, A. 1876 Crelle, 81, 62.
Oseen, C. W. 1910 Ark. Mat. 6, 29.
Oseen, C. W. 1927 Hydrodynamik. Leipzing: Akademische Verlagsgesellschaft.
Stokes, G. G. 1851 Camb. Trans. 9, 8.
Proudman, I. & Pearson, J. R. A. 1957 J. Fluid Mech. 2, 237.