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Slender phoretic theory of chemically active filaments

Published online by Cambridge University Press:  09 July 2020

Panayiota Katsamba Open the ORCID record for Panayiota Katsamba [Opens in a new window] ,
Sébastien Michelin Open the ORCID record for Sébastien Michelin [Opens in a new window]  and
Thomas D. Montenegro-Johnson Open the ORCID record for Thomas D. Montenegro-Johnson [Opens in a new window]
Panayiota Katsamba
Affiliation:
School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
Sébastien Michelin
Affiliation:
LadHyX – Département de Mécanique, CNRS – Ecole Polytechnique, Institut Polytechnique de Paris, 91128Palaiseau, France
Thomas D. Montenegro-Johnson*
Affiliation:
School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
*
†Email address for correspondence: t.d.johnson@bham.ac.uk
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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.

JFM classification

Low-Reynolds-number flows: Slender-body theory Biological Fluid Dynamics: Propulsion
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 898 , 10 September 2020 , A24
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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