Inertial effects in small-amplitude swimming of a finite body

B.U. Felderhof and R.B. Jones

Physica A: Statistical Mechanics and its Applications, 1994, vol. 202, issue 1, 94-118

Abstract: We study the mechanism of small-amplitude swimming of a deformable body of finite size in a viscous incompressible fluid described by the Navier-Stokes equations. The theory is based on a perturbation expansion in powers of the amplitude of surface displacements. A nonvanishing swimming velocity is found in second order perturbation theory. The average motion may include both a translational and a rotational contribution. For harmonic time variation of the first order flow we are led to a natural definition of the efficiency of swimming.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:202:y:1994:i:1:p:94-118

DOI: 10.1016/0378-4371(94)90169-4

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