Hydrodynamic interactions between nearby slender filaments
arXiv:1611.02999 · doi:10.1209/0295-5075/116/24002
Abstract
Cellular biology abound with filaments interacting through fluids, from intracellular microtubules, to rotating flagella and beating cilia. While previous work has demonstrated the complexity of capturing nonlocal hydrodynamic interactions between moving filaments, the problem remains difficult theoretically. We show here that when filaments are closer to each other than their relevant length scale, the integration of hydrodynamic interactions can be approximately carried out analytically. This leads to a set of simplified local equations, illustrated on a simple model of two interacting filaments, which can be used to tackle theoretically a range of problems in biology and physics.
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Cited by in corpus (10)
- The 2019 Motile Active Matter Roadmap
- Bistability in the synchronization of actuated microfilaments
- Multisynchrony in active microfilaments
- Interaction Between Two Closely-Spaced Waving Slender Elastic Cylinders Immersed in a Viscous Fluid
- Stability of sedimenting flexible loops
- Motion of several slender rigid filaments in a Stokes flow
- Geometric phase methods with Stokes theorem for a general viscous swimmer
- Rotation of a low-Reynolds-number watermill: theory and simulations
- Gait controllability of length-changing slender microswimmers
- Asymptotic theory of hydrodynamic interactions between slender filaments