Generalised Jeffery’s equations for rapidly spinning particles. Part 1: Spheroids

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Generalised Jeffery’s equations for rapidly spinning particles. Part 1: Spheroids

Dalwadi, Mohit; Moreau, Clément; Gaffney, Eamonn; Ishimoto, Kenta; Walker, Benjamin; (2024) Generalised Jeffery’s equations for rapidly spinning particles. Part 1: Spheroids. Journal of Fluid Mechanics , 979 , Article A1. 10.1017/jfm.2023.923. Green open access

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Abstract

The observed behaviour of passive objects in simple flows can be surprisingly intricate, and is complicated further by object activity. Inspired by the motility of bacterial swimmers, in this two-part study we examine the three-dimensional motion of rigid active particles in shear Stokes flow, focusing on bodies that induce rapid rotation as part of their activity. In Part 1 we develop a multiscale framework to investigate these emergent dynamics and apply it to simple spheroidal objects. In Part 2 (Dalwadi et al., J. Fluid Mech., vol. 979, 2024, A2) we apply our framework to understand the emergent dynamics of more complex shapes; helicoidal objects with chirality. Via a multiple scales asymptotic analysis for nonlinear systems, we systematically derive emergent equations of motion for long-term trajectories that explicitly account for the strong (leading-order) effects of fast spinning. Supported by numerical examples, we constructively link these effective dynamics to the well-known Jeffery's orbits for passive spheroids, deriving an explicit closed-form expression for the effective shape of the active particle, broadening the scope of Jeffery's seminal study to spinning spheroids.

Type:	Article
Title:	Generalised Jeffery’s equations for rapidly spinning particles. Part 1: Spheroids
Open access status:	An open access version is available from UCL Discovery
DOI:	10.1017/jfm.2023.923
Publisher version:	https://doi.org/10.1017/jfm.2023.923
Language:	English
Additional information:	© The Author(s), 2024. Published by Cambridge University Press. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0).
UCL classification:	UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI:	https://discovery.ucl.ac.uk/id/eprint/10180127