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 language | English |
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Article number | A1 |
Number of pages | 37 |
Journal | Journal of Fluid Mechanics |
Volume | 979 |
Early online date | 9 Jan 2024 |
DOIs | |
Publication status | Published - 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.
Funders | Funder number |
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JSPS-KAKENHI Grant-in Aid for JSPS | 22F22023 |
Engineering and Physical Sciences Research Council | EP/W032317/1 |
Engineering and Physical Sciences Research Council | |
Japan Society for the Promotion of Science London | P22023 |
Japan Society for the Promotion of Science London | |
Royal Commission for the Exhibition of 1851 | |
Japan Society for the Promotion of Science | 18K13456, 21H05309 |
Japan Society for the Promotion of Science | |
Japan Science and Technology Agency | |
Precursory Research for Embryonic Science and Technology | JPMJPR1921 |
Precursory Research for Embryonic Science and Technology | |
Fusion Oriented REsearch for disruptive Science and Technology | JPMJFR212N |
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