Abstract
We present an asymptotic theory for solving the dynamics of slender autophoretic loops and knots. Our formulation is valid for nonintersecting three-dimensional center lines, with arbitrary chemical patterning and varying (circular) cross-sectional radius, allowing a broad class of slender active loops and knots to be studied. The theory is amenable to closed-form solutions in simpler cases, allowing us to analytically derive the swimming speed of chemically patterned tori, and the pumping strength (stresslet) of a uniformly active slender torus. Using simple numerical solutions of our asymptotic equations, we then elucidate the behavior of many exotic active particle geometries, such as a bumpy uniformly active torus that spins and a Janus trefoil knot, which rotates as it swims forwards.
| Original language | English |
|---|---|
| Article number | 054201 |
| Number of pages | 28 |
| Journal | Physical Review Fluids |
| Volume | 9 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 10 May 2024 |
Funding
P.K. was supported by the project “SimEA”, funded by the European Union’s Horizon 2020 research and innovation programme under Grant Agreement No. 810660, and in part by the Engineering and Physical Sciences Research Council (EPSRC) Grant No. EP/R041555/1 “Artificial Transforming Swimmers for Precision Microfluidics Tasks” to T.M.-J. M.B. was supported by a Clifford Fellowship at University College London, and the Leverhulme Trust Research Leadership Award “Shape-Transforming Active Microfluidics” Grant No. RL-2019-014 to T.M.-J. L.K. was funded by Australian Research Council (ARC) under the Discovery Early Career Research Award scheme (Grant Agreement No. DE200100168).
Keywords
- Diffusiophoresis
- Fluid-particle interactions
- Microswimmers
- Slender body theory
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