Optimal swimming at low reynolds numbers

J. E. Avron*, O. Gat, O. Kenneth

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

145 Scopus citations

Abstract

To find the optimal swimmer in a class of swimmers, a two-dimensional model reminiscent of amoeba swimming was presented. Optimal swimming comes from minimizing the energy dissipated per unit swimming distance, while keeping the average speed fixed. The power dissipated by the swimmer was calculated by integrating the stress times the velocity on the surface of the swimmer. The swimmer drag coefficient is a dimensionless number in two dimensions and differs from the usual drag coefficient.

Original languageAmerican English
Article number186001
Pages (from-to)186001-1-186001-4
JournalPhysical Review Letters
Volume93
Issue number18
DOIs
StatePublished - 29 Oct 2004
Externally publishedYes

Bibliographical note

Funding Information:
We thank E. Braun, G. Kosa, and D. Weihs for useful discussions, E. Yariv for pointing out Ref. , and U. Sivan for proposing the problem. This work is supported in part by the EU Grant No. HPRN-CT-2002-00277.

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