Optimal slip velocities of micro-swimmers with arbitrary axisymmetric shapes - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Journal of Fluid Mechanics Year : 2021

Optimal slip velocities of micro-swimmers with arbitrary axisymmetric shapes

Abstract

This article presents a computational approach for determining the optimal slip velocities on any given shape of an axisymmetric micro-swimmer suspended in a viscous fluid. The objective is to minimize the power loss to maintain a target swimming speed, or equivalently to maximize the efficiency of the micro-swimmer. Owing to the linearity of the Stokes equations governing the fluid motion, we show that this PDE-constrained optimization problem reduces to a simpler quadratic optimization problem, whose solution is found using a high-order accurate boundary integral method. We consider various families of shapes parameterized by the reduced volume and compute their swimming efficiency. {Among those, prolate spheroids were found to be the most efficient micro-swimmer shapes for a given reduced volume. We propose a simple shape-based scalar metric that can determine whether the optimal slip on a given shape makes it a pusher, a puller, or a neutral swimmer.}
Fichier principal
Vignette du fichier
2007.09567.pdf (3.4 Mo) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03099172 , version 1 (06-01-2021)

Identifiers

Cite

Hanliang Guo, Hai Zhu, Ruowen Liu, Marc Bonnet, Shravan Veerapaneni. Optimal slip velocities of micro-swimmers with arbitrary axisymmetric shapes. Journal of Fluid Mechanics, 2021, 910, pp.A26. ⟨10.1017/jfm.2020.969⟩. ⟨hal-03099172⟩
113 View
60 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More