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On the movement of slender bodies near plane boundaries at low Reynolds number

Published online by Cambridge University Press:  29 March 2006

D. F. Katz ,
J. R. Blake  and
S. L. Paveri-Fontana
D. F. Katz
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge Present address: Department of Mechanical Engineering, University of California, Berkeley.
J. R. Blake
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge Present address: CSIRO Division of Mathematics and Statistics, Canberra, Australia.
S. L. Paveri-Fontana
Affiliation:
Istituto di Meccanica Razionale, Universitá di Bari, Italy
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Abstract

Normal and tangential resistance coefficients are calculated for a rigid slender body close to a planar no-slip boundary or midway between and close to two such boundaries. The important length scale is found to be the separation distance from the boundaries, and the forces per unit length acting on the slender body are approximately constant along most of its length. Owing to the presence of the walls, the ratio of the normal and tangential resistance coefficients can be greater than 2, its maximum limiting value in the infinite-fluid case. Applications to the movements of flagellated micro-organisms are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 72 , Issue 3 , 9 December 1975 , pp. 529 - 540
Copyright
© 1975 Cambridge University Press

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