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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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References

Abramowitz, M. & Stegun, I. A. 1965 Handbook of Mathematical Functions. National Bureau of Standards.
Auton, T. R. 1984 The dynamics of bubbles drops and particles in motion in liquids. Ph.D. Thesis, University of Cambridge.
Auton, T. R., Hunt, J. C. R. & Prud'homme, M. 1987 On the motion of a circular cylinder and a sphere in inviscid rotational flow. J. Fluid Mech. (submitted).Google Scholar
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Benjamin, T. B. 1986 Note on added mass and drift. J. Fluid Mech. 169, 251.Google Scholar
Cousins, R. R. 1969 Shear flow past a sphere. NPL rep. MA80.
Cousins, R. R. 1970 A note on the shear flow past a sphere. J. Fluid Mech. 40, 543.Google Scholar
Darwin, C. 1953 Note on hydrodynamics. Proc. Camb. Phil. Soc. 49, 342.Google Scholar
Hall, I. M. 1956 The displacement effect of a sphere in a two-dimensional flow. J. Fluid Mech. 1, 142.Google Scholar
Lighthill, M. J. 1956a The image system of a vortex element in a rigid sphere. Proc. Camb. Phil. Soc. 52, 31.Google Scholar
Lighthill, M. J. 1956b Drift. J. Fluid Mech. 1, 31 (and Corrigendum 2, 311).Google Scholar
Lighthill, M. J. 1957 Contributions to the theory of the Pitot tube displacement effect. J. Fluid Mech. 2, 493.Google Scholar
Taylor, G. I. 1928 The forces on a body placed in a curved or converging stream of fluid. Proc. R. Soc. Lond. A 70, 260.Google Scholar
Thomas, N. H., Auton, T. R., Sene, K. J. & Hunt, J. C. R. 1983 Entrapment and transport of bubbles by transient large eddies in multiphase turbulent shear flows. BHRA Intl Conf. on the Physical Modelling of Multiphase flows, Coventry, April 1983, p. 169. (Also 1984 Entrapment and transport of bubbles by plunging water. In Gas Transfer at Water Surfaces [ed. W. Brutsaert & G. H. Jirka], p. 255. Reidel.)
Tollmien, W. 1938 Uber Krafte und Momente in schwach gekrummten oder konvergenten Stromungen. Ing.-Arch. 9, 308.Google Scholar