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Axial and transverse Stokes flow past slender axisymmetric bodies

Published online by Cambridge University Press:  29 March 2006

J. P. K. Tillett
J. P. K. Tillett
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

This paper deals with Stokes flow due to a stationary axially symmetric slender body in a uniform stream, which may be either parallel or perpendicular to the axis of the body. The effect of the body is represented by distributions of singularities along a segment of its axis of symmetry. Systems of linear integral equations for these distributions are obtained, and the first few terms of uniformly valid (in the Stokes region) asymptotic expansions in the slenderness ratio are discussed. The leading terms yield the expected result that the drag on the body in a transverse stream is double that in an axial stream. The second approximation to the ratio of these two drags is also independent of the body shape.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 44 , Issue 3 , 26 November 1970 , pp. 401 - 417
Copyright
© 1970 Cambridge University Press

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References

Burgers, J. M. 1938 Second report on viscosity and plasticity. Kon. Ned. Akad. Wet., Verhand. (Eerste Sectie) 16, 113.Google Scholar
Fraenkel, L. E. 1969a Proc. Camb. Phil. Soc. 65, 20.
Fraenkel, L. E. 1969b Proc. Camb. Phil. Soc. 65, 23.
Handelsman, R. A. & Keller, J. B. 1967 J. Fluid Mech. 28, 13.
Lamb, H. 1932 Hydrodynamics (6th edition). Cambridge University Press.
Moran, J. P. 1963 J. Fluid Mech. 17, 28.
Taylor, G. I. 1967 Film: Low Reynolds Number Flows. Chicago: Educational Services Inc.
Taylor, G. I. 1969 In Problems of Hydrodynamics and Continuum Mechanics. Moscow: State Publishing House.
Tuck, E. O. 1964 J. Fluid Mech. 18, 61.
Tuck, E. O. 1970 Trans. Inst. Eng. Australia (in the Press).