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Self propulsion due to oscillations on the surface of a cylinder at low Reynolds number

Published online by Cambridge University Press:  17 April 2009

J.R. Blake
J.R. Blake
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, England.
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Abstract

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The two-dimensional flow around an infinite cylinder at low Reynolds number has interested fluid dynamicists for many years. In this paper it is shown that an infinite cylinder can propel itself through a viscous fluid (for example micro-organisms) if it has certain undulations on its surface.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 2 , October 1971 , pp. 255 - 264
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Blake, J.R., “A spherical envelope approach to ciliary propulsion”, J. Fluid Mech. 46 (1971), 199–208.Google Scholar
[2]Blake, J.R., “Infinite models for ciliary propulsion”, J. Fluid Mech. (to appear).Google Scholar
[3]Lighthill, M.J., “On the squirming motion of nearly spherical deformable bodies through liquids at very small Reynolds numbers”, Comm. Pure Appl. Maths. 5 (1952), 109–118.Google Scholar