Slender phoretic theory of chemically active filaments

Panayiota Katsamba; Sebastien Michelin; Tom Montenegro-Johnson

doi:10.1017/jfm.2020.410

Slender phoretic theory of chemically active filaments

Panayiota Katsamba, Sebastien Michelin, Tom Montenegro-Johnson

Mathematics

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1 Citation (Scopus)

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Abstract

Artificial microswimmers, or ‘microbots’, have the potential to revolutionise non-invasive medicine and microfluidics. Microbots that are powered by self-phoretic mechanisms, such as Janus particles, often harness a solute fuel in their environment. Traditionally, self-phoretic particles are point like, but slender phoretic rods have become an increasingly prevalent design. While there has been substantial interest in creating efficient asymptotic theories for slender phoretic rods, hitherto such theories have been restricted to straight rods with axisymmetric patterning. However, modern manufacturing methods will soon allow fabrication of slender phoretic filaments with complex three-dimensional shapes. In this paper, we develop a slender body theory for the solute of self-diffusiophoretic filaments of arbitrary three-dimensional shape and patterning. We demonstrate analytically that, unlike other slender body theories, first-order azimuthal variations arising from curvature and confinement can make a leading-order contribution to the swimming kinematics.

Original language	English
Article number	A24
Number of pages	43
Journal	Journal of Fluid Mechanics
Volume	898
Early online date	9 Jul 2020
DOIs	https://doi.org/10.1017/jfm.2020.410
Publication status	Published - 10 Sept 2020

Bibliographical note

Funding Information:
T.D.M.-J. and P.K. gratefully acknowledge funding from EPSRC Bright Ideas grant no. EP/R041555/1. S.M. acknowledges funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement 714027 to S.M.). The authors would like to thank E. Lauga for helpful discussions on autophoretic theory, and L. Koens for helpful discussions on slender body theory.

Publisher Copyright:
© The Author(s), 2020. Published by Cambridge University Press.

Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

Keywords

slender-body theory
propulsion
Slender-body theory
Propulsion

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1017/jfm.2020.410Licence: None: All rights reserved

KatsambaP2020Slender
This article has been published in a revised form in Journal of Fluid Mechanics https://doi.org/10.1017/jfm.2020.410. This version is free to view and download for private research and study only. Not for re-distribution or re-use. © The Author(s), 2020.
Accepted author manuscript, 4.35 MBLicence: None: All rights reserved

Artificial Transforming Swimmers for Precision Microfluidics Tasks
Montenegro-Johnson, T. (Principal Investigator)
Engineering & Physical Science Research Council
1/06/18 → 31/05/20
Project: Research Councils

Cite this

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title = "Slender phoretic theory of chemically active filaments",

abstract = "Artificial microswimmers, or {\textquoteleft}microbots{\textquoteright}, have the potential to revolutionise non-invasive medicine and microfluidics. Microbots that are powered by self-phoretic mechanisms, such as Janus particles, often harness a solute fuel in their environment. Traditionally, self-phoretic particles are point like, but slender phoretic rods have become an increasingly prevalent design. While there has been substantial interest in creating efficient asymptotic theories for slender phoretic rods, hitherto such theories have been restricted to straight rods with axisymmetric patterning. However, modern manufacturing methods will soon allow fabrication of slender phoretic filaments with complex three-dimensional shapes. In this paper, we develop a slender body theory for the solute of self-diffusiophoretic filaments of arbitrary three-dimensional shape and patterning. We demonstrate analytically that, unlike other slender body theories, first-order azimuthal variations arising from curvature and confinement can make a leading-order contribution to the swimming kinematics.",

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note = "Funding Information: T.D.M.-J. and P.K. gratefully acknowledge funding from EPSRC Bright Ideas grant no. EP/R041555/1. S.M. acknowledges funding from the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation programme (grant agreement 714027 to S.M.). The authors would like to thank E. Lauga for helpful discussions on autophoretic theory, and L. Koens for helpful discussions on slender body theory. Publisher Copyright: {\textcopyright} The Author(s), 2020. Published by Cambridge University Press. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

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Slender phoretic theory of chemically active filaments

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Artificial Transforming Swimmers for Precision Microfluidics Tasks

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