Emergent rheotaxis of shape-changing swimmers in Poiseuille flow

B. J. Walker; K. Ishimoto; C. Moreau; E. A. Gaffney; M. P. Dalwadi

doi:10.1017/jfm.2022.474

Emergent rheotaxis of shape-changing swimmers in Poiseuille flow

B. J. Walker, K. Ishimoto, C. Moreau, E. A. Gaffney, M. P. Dalwadi

Research output: Contribution to journal › Article › peer-review

10 Citations (SciVal)

Abstract

A simple model for the motion of shape-changing swimmers in Poiseuille flow was recently proposed and numerically explored by Omori et al. (J. Fluid Mech., vol. 930, 2022, A30). These explorations hinted that a small number of interacting mechanics can drive long-Time behaviours in this model, cast in the context of the well-studied alga Chlamydomonas and its rheotactic behaviours in such flows. Here, we explore this model analytically via a multiple-scale asymptotic analysis, seeking to formally identify the causal factors that shape the behaviour of these swimmers in Poiseuille flow. By capturing the evolution of a Hamiltonian-like quantity, we reveal the origins of the long-Term drift in a single swimmer-dependent constant, whose sign determines the eventual behaviour of the swimmer. This constant captures the nonlinear interaction between the oscillatory speed and effective hydrodynamic shape of deforming swimmers, driving drift either towards or away from rheotaxis.

Original language	English
Article number	R2
Journal	Journal of Fluid Mechanics
Volume	944
DOIs	https://doi.org/10.1017/jfm.2022.474
Publication status	Published - 10 Aug 2022
Externally published	Yes

Bibliographical note

Funding Information:
B.J.W. is supported by the Royal Commission for the Exhibition of 1851. K.I. acknowledges JSPS-KAKENHI for Young Researchers (grant no. 18K13456), JSPS-KAKENHI for Transformative Research Areas (grant no. 21H05309) and JST, PRESTO, Japan (grant no. JPMJPR1921). C.M. is supported by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located at Kyoto University. M.P.D. is supported by the UK Engineering and Physical Sciences Research Council (grant no. EP/W032317/1).

Publisher Copyright:
©

Funding

B.J.W. is supported by the Royal Commission for the Exhibition of 1851. K.I. acknowledges JSPS-KAKENHI for Young Researchers (grant no. 18K13456), JSPS-KAKENHI for Transformative Research Areas (grant no. 21H05309) and JST, PRESTO, Japan (grant no. JPMJPR1921). C.M. is supported by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located at Kyoto University. M.P.D. is supported by the UK Engineering and Physical Sciences Research Council (grant no. EP/W032317/1).

Keywords

Key words micro-organism dynamics

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1017/jfm.2022.474Licence: CC BY

Cite this

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abstract = "A simple model for the motion of shape-changing swimmers in Poiseuille flow was recently proposed and numerically explored by Omori et al. (J. Fluid Mech., vol. 930, 2022, A30). These explorations hinted that a small number of interacting mechanics can drive long-Time behaviours in this model, cast in the context of the well-studied alga Chlamydomonas and its rheotactic behaviours in such flows. Here, we explore this model analytically via a multiple-scale asymptotic analysis, seeking to formally identify the causal factors that shape the behaviour of these swimmers in Poiseuille flow. By capturing the evolution of a Hamiltonian-like quantity, we reveal the origins of the long-Term drift in a single swimmer-dependent constant, whose sign determines the eventual behaviour of the swimmer. This constant captures the nonlinear interaction between the oscillatory speed and effective hydrodynamic shape of deforming swimmers, driving drift either towards or away from rheotaxis.",

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Emergent rheotaxis of shape-changing swimmers in Poiseuille flow

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

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