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

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

Research output: Contribution to journalArticlepeer-review

1 Citation (SciVal)

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.

Original languageEnglish
Article numberA1
Number of pages37
JournalJournal of Fluid Mechanics
Volume979
Early online date9 Jan 2024
DOIs
Publication statusPublished - 25 Jan 2024

Funding

M.P.D. is supported by the UK Engineering and Physical Sciences Research Council (grant no. EP/W032317/1). C.M. is a JSPS Postdoctoral Fellow (P22023) and acknowledges support by the JSPS-KAKENHI Grant-in Aid for JSPS Fellows (grant no. 22F22023). K.I. acknowledges JSPS-KAKENHI for Young Researchers (grant no. 18K13456), JSPS-KAKENHI for Transformative Research Areas (grant no. 21H05309), JST, PRESTO (grant no. JPMJPR1921) and JST, FOREST (grant no. JPMJFR212N). B.J.W. is supported by the Royal Commission for the Exhibition of 1851.

FundersFunder number
JSPS-KAKENHI Grant-in Aid for JSPS22F22023
Engineering and Physical Sciences Research CouncilEP/W032317/1
Engineering and Physical Sciences Research Council
Japan Society for the Promotion of Science LondonP22023
Japan Society for the Promotion of Science London
Royal Commission for the Exhibition of 1851
Japan Society for the Promotion of Science18K13456, 21H05309
Japan Society for the Promotion of Science
Japan Science and Technology Agency
Precursory Research for Embryonic Science and TechnologyJPMJPR1921
Precursory Research for Embryonic Science and Technology
Fusion Oriented REsearch for disruptive Science and TechnologyJPMJFR212N
Fusion Oriented REsearch for disruptive Science and Technology

Keywords

  • physics.flu-dyn
  • math.DS
  • Stokesian dynamics
  • micro-organism dynamics

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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