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The lift force on a spherical body in a rotational flow

Published online by Cambridge University Press:  21 April 2006

T. R. Auton
T. R. Auton
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK Present address: Imperial Chemical Industries PLC, Central Toxicology Laboratory, Alderley Park, Macclesfield, Cheshire SK10 4TJ, UK.
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Abstract

This paper concerns the flow about a sphere placed in a weak shear flow of an inviscid fluid. The secondary velocity resulting from advection of vorticity by the irrotational component of the flow is computed on the sphere surface, and on the upstream axis. The resulting lift force on the sphere is evaluated, and the result is confirmed by an analytical far-field calculation. The displacement of the stagnation streamline, far upstream of the sphere, is calculated more accurately than in previous papers.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 183 , October 1987 , pp. 199 - 218
Copyright
© 1987 Cambridge University Press

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