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Axisymmetric Stokes flow past a spherical cap

Published online by Cambridge University Press:  29 March 2006

J. M. Dorrepaal ,
M. E. O'neill  and
K. B. Ranger
J. M. Dorrepaal
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, Canada V6T 1W5
M. E. O'neill
Affiliation:
Department of Mathematics, University College London, England
K. B. Ranger
Affiliation:
Department of Mathematics, University of Toronto, Canada M5S 1A1
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Abstract

The axisymmetric streaming Stokes flow past a body which contains a surface concave to the fluid is considered for the simplest geometry, namely, a spherical cap. It is found that a vortex ring is attached to the concave surface of the cap regardless of whether the oncoming flow is positive or negative. A stream surface ψ = 0 divides the vortex from the mainstream flow, and a detailed description of the flow is given for the hemispherical cup. The local velocity and stress in the vicinity of the rim are expressed in terms of local co-ordinates.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 75 , Issue 2 , 27 May 1976 , pp. 273 - 286
Copyright
© 1976 Cambridge University Press

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