Canonical orbits for rapidly deforming planar microswimmers in shear flow

Eamonn A. Gaffney; Mohit P. Dalwadi; Clément Moreau; Kenta Ishimoto; Benjamin J. Walker

doi:10.1103/PhysRevFluids.7.L022101

Canonical orbits for rapidly deforming planar microswimmers in shear flow

Eamonn A. Gaffney, Mohit P. Dalwadi, Clément Moreau, Kenta Ishimoto, Benjamin J. Walker

Department of Mathematical Sciences

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

7 Citations (SciVal)

Abstract

Classically, the rotation of ellipsoids in shear Stokes flow is captured by Jeffery's orbits. Here we demonstrate that Jeffery's orbits also describe high-frequency shape-deforming swimmers moving in the plane of a shear flow, employing only basic properties of Stokes flow and a multiple-scales asymptotic analysis. In doing so, we support the use of these simple models for capturing shape-changing swimmer dynamics in studies of active matter and highlight the ubiquity of ellipsoid-like dynamics in complex systems. This result is robust to weakly confounding effects, such as distant boundaries, and also applies in the low-frequency limit.

Original language	English
Article number	L022101
Journal	Physical Review Fluids
Volume	7
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevFluids.7.L022101
Publication status	Published - 18 Feb 2022

Bibliographical note

Funding Information:
Acknowledgments. The authors are grateful to Prof. Eric Lauga for interesting and motivating discussions on the separated timescales of motion found in many microswimming problems. C.M. was partially supported by the JSPS Postdoctoral Fellowship program (No. PE20021). 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. and K.I. were partially supported by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located at Kyoto University. B.J.W. is supported by the Royal Commission for the Exhibition of 1851 and the U.K. Engineering and Physical Sciences Research Council (EPSRC), Grant No. EP/R513295/1.

Publisher Copyright:
© 2022 authors. Published by the American Physical Society.

ASJC Scopus subject areas

Computational Mechanics
Modelling and Simulation
Fluid Flow and Transfer Processes

Access to Document

10.1103/PhysRevFluids.7.L022101Licence: CC BY

Cite this

@article{cfa4010aab294503a146e7ce590a04f1,

title = "Canonical orbits for rapidly deforming planar microswimmers in shear flow",

abstract = "Classically, the rotation of ellipsoids in shear Stokes flow is captured by Jeffery's orbits. Here we demonstrate that Jeffery's orbits also describe high-frequency shape-deforming swimmers moving in the plane of a shear flow, employing only basic properties of Stokes flow and a multiple-scales asymptotic analysis. In doing so, we support the use of these simple models for capturing shape-changing swimmer dynamics in studies of active matter and highlight the ubiquity of ellipsoid-like dynamics in complex systems. This result is robust to weakly confounding effects, such as distant boundaries, and also applies in the low-frequency limit.",

author = "Gaffney, {Eamonn A.} and Dalwadi, {Mohit P.} and Cl{\'e}ment Moreau and Kenta Ishimoto and Walker, {Benjamin J.}",

note = "Funding Information: Acknowledgments. The authors are grateful to Prof. Eric Lauga for interesting and motivating discussions on the separated timescales of motion found in many microswimming problems. C.M. was partially supported by the JSPS Postdoctoral Fellowship program (No. PE20021). 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. and K.I. were partially supported by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located at Kyoto University. B.J.W. is supported by the Royal Commission for the Exhibition of 1851 and the U.K. Engineering and Physical Sciences Research Council (EPSRC), Grant No. EP/R513295/1. Publisher Copyright: {\textcopyright} 2022 authors. Published by the American Physical Society.",

year = "2022",

month = feb,

day = "18",

doi = "10.1103/PhysRevFluids.7.L022101",

language = "English",

volume = "7",

journal = "Physical Review Fluids",

issn = "2469-990X",

publisher = "American Physical Society",

number = "2",

}

TY - JOUR

T1 - Canonical orbits for rapidly deforming planar microswimmers in shear flow

AU - Gaffney, Eamonn A.

AU - Dalwadi, Mohit P.

AU - Moreau, Clément

AU - Ishimoto, Kenta

AU - Walker, Benjamin J.

N1 - Funding Information: Acknowledgments. The authors are grateful to Prof. Eric Lauga for interesting and motivating discussions on the separated timescales of motion found in many microswimming problems. C.M. was partially supported by the JSPS Postdoctoral Fellowship program (No. PE20021). 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. and K.I. were partially supported by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located at Kyoto University. B.J.W. is supported by the Royal Commission for the Exhibition of 1851 and the U.K. Engineering and Physical Sciences Research Council (EPSRC), Grant No. EP/R513295/1. Publisher Copyright: © 2022 authors. Published by the American Physical Society.

PY - 2022/2/18

Y1 - 2022/2/18

N2 - Classically, the rotation of ellipsoids in shear Stokes flow is captured by Jeffery's orbits. Here we demonstrate that Jeffery's orbits also describe high-frequency shape-deforming swimmers moving in the plane of a shear flow, employing only basic properties of Stokes flow and a multiple-scales asymptotic analysis. In doing so, we support the use of these simple models for capturing shape-changing swimmer dynamics in studies of active matter and highlight the ubiquity of ellipsoid-like dynamics in complex systems. This result is robust to weakly confounding effects, such as distant boundaries, and also applies in the low-frequency limit.

AB - Classically, the rotation of ellipsoids in shear Stokes flow is captured by Jeffery's orbits. Here we demonstrate that Jeffery's orbits also describe high-frequency shape-deforming swimmers moving in the plane of a shear flow, employing only basic properties of Stokes flow and a multiple-scales asymptotic analysis. In doing so, we support the use of these simple models for capturing shape-changing swimmer dynamics in studies of active matter and highlight the ubiquity of ellipsoid-like dynamics in complex systems. This result is robust to weakly confounding effects, such as distant boundaries, and also applies in the low-frequency limit.

UR - http://www.scopus.com/inward/record.url?scp=85126057206&partnerID=8YFLogxK

U2 - 10.1103/PhysRevFluids.7.L022101

DO - 10.1103/PhysRevFluids.7.L022101

M3 - Article

AN - SCOPUS:85126057206

SN - 2469-990X

VL - 7

JO - Physical Review Fluids

JF - Physical Review Fluids

IS - 2

M1 - L022101

ER -

Canonical orbits for rapidly deforming planar microswimmers in shear flow

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this