Optimal design of Purcell's three-link swimmer

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Laetitia GiraldiMarta Zoppello

Abstract

In this paper we address the question of the optimal design for the Purcell three-link swimmer. More precisely, we investigate the best link length ratio which maximizes its displacement. The dynamics of the swimmer is expressed as an ordinary differential equation, using the resistive force theory. Among a set of optimal strategies of deformation (strokes), we provide an asymptotic estimate of the displacement for small deformations, from which we derive the optimal link ratio. Numerical simulations are in good agreement with this theoretical estimate and also cover larger amplitudes of deformation. Compared with the classical design of the Purcell swimmer, we observe a gain in displacement of roughly 60%.

References

Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ali Najafi, Ramin Golestanian
Oct 7, 2005·Nature·Rémi DreyfusJérôme Bibette
Mar 16, 2007·Physical Review Letters·Daniel Tam, A E Hosoi

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Citations

Sep 13, 2016·Proceedings. Mathematical, Physical, and Engineering Sciences·O Wiezel, Y Or
Jul 6, 2018·Journal of the Royal Society, Interface·Clément MoreauHermes Gadêlha
Feb 2, 2020·The European Physical Journal. E, Soft Matter·François Alouges, Giovanni Di Fratta
May 20, 2021·Physical Review. E·Silas Alben

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