Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-19T16:03:49.806Z Has data issue: false hasContentIssue false

Efficiencies of self-propulsion at low Reynolds number

Published online by Cambridge University Press:  21 April 2006

Alfred Shapere
Affiliation:
Institute for Advanced Study, Princeton NJ 08540, USA
Frank Wilczek
Affiliation:
Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106, USA

Abstract

We study the effeciencies of swimming motions due to small deformations of spherical and cylindrical bodies at low Reynolds number. A notion of efficiency is defined and used to determine optimal swimming strokes. These strkes are composed of propagating waves, symmetric about the axis of propulsion.

Type
Research Article
Copyright
1989 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Batchelor, G. K.: 1970 An Introduction to Fluid Dynamics. Cambridge University Press.
Blake, J. R.: 1970 A spherical envelope approach to ciliary propulsion, J. Fluid Mech. 46, 199208.Google Scholar
Blake, J. R.: 1971a Self propulsion due to oscillations on the surface of a cylinder at low Reynolds number. Bull. Austral. Math. Soc. 3, 255264.Google Scholar
Blake, J. R.: 1971b Infinite models of ciliary propulsion. J. Fluid Mech. 49, 209218.Google Scholar
Childress, S.: 1978 Mechanics of Swimming and Flying, Chapter 7. Cambridge University Press.
Goult, R. J., Hoskins, R. F., Milner, J. A. & Pratt, M. J., 1974 Computational Methods in Linear Algebra. London: Stanley Thornes.
Landau, L. & Lifshitz, L., 1959 Fluid Mechanics, Section 20. Pergarmon.
Lighthill, J. M.: 1952 On the squirming motion of nearly spherical deformable bodies through liquids at very small Reynolds number. Comm. Pure Appl. Maths 5, 109118.Google Scholar
Purcell, E.: 1977 Life at low Reynolds number. Am. J. Phys. 45, 311.Google Scholar
Shapere, A. & Wilczek, F., 1989 Geometry of self-propulsion at low Reynolds number. J. Fluid Mech. 198, 557585.Google Scholar