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Slender-body theory for slow viscous flow

Published online by Cambridge University Press:  29 March 2006

Joseph B. Keller  and
Sol I. Rubinow
Joseph B. Keller
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York 10012
Sol I. Rubinow
Affiliation:
Graduate School of Medical Sciences, Cornell University, New York 10021
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Abstract

Slow flow of a viscous incompressible fluid past a slender body of circular crosssection is treated by the method of matched asymptotic expansions. The main result is an integral equation for the force per unit length exerted on the body by the fluid. The novelty is that the body is permitted to twist and dilate in addition to undergoing the translating, bending and stretching, which have been considered by others. The method of derivation is relatively simple, and the resulting integral equation does not involve the limiting processes which occur in the previous work.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 75 , Issue 4 , 25 June 1976 , pp. 705 - 714
Copyright
© 1976 Cambridge University Press

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References

Batchelo, G. K. 1970 J. Fluid Mech. 44, 419.
Chwang, A. T. 1975 J. Fluid Mech. 72, 17.
Chwang, A. T. & Wu, T. Y. 1974 J Fluid Mech. 63, 607.
Chwang, A. T. & Wu, T. Y. 1975 J. Fluid Mech. 67, 787.
Cox, R. G. 1970 J. Fluid Mech. 44, 791.
Geer, J. F. 1976 J. Fluid. Mech. (in the press.)
Hancock, G. J. 1953 Proc. Roy. Soc. A, 217, 96.
Lighthill, M. J. 1975 Mathematical Biofluiddynamics. Philadelphia: SIAM.
Tillett, J. P. K. 1970 J. Fluid Mech. 44, 401.
Tuck, E. O. 1964 J. Fluid Mech. 18, 619.
Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics. Academic.