Low Reynolds number hydrodynamics of asymmetric, oscillating dumbbell pairs
arXiv:1007.0337 · doi:10.1140/epjst/e2010-01278-y
Abstract
Active dumbbell suspensions constitute one of the simplest model system for collective swimming at low Reynolds number. Generalizing recent work, we derive and analyze stroke-averaged equations of motion that capture the effective hydrodynamic far-field interaction between two oscillating, asymmetric dumbbells in three space dimensions. Time-averaged equations of motion, as those presented in this paper, not only yield a considerable speed-up in numerical simulations, they may also serve as a starting point when deriving continuum equations for the macroscopic dynamics of multi-swimmer suspensions. The specific model discussed here appears to be particularly useful in this context, since it allows one to investigate how the collective macroscopic behavior is affected by changes in the microscopic symmetry of individual swimmers.
10 pages, to appear in EPJ Special Topics
References in corpus (8)
- Collective Motion due to escape and pursuit response
- Hydrodynamics of self-propelled hard rods
- Diffusion and spatial correlations in suspensions of swimming particles
- A basic swimmer at low Reynolds number
- No many-scallop theorem: Collective locomotion of reciprocal swimmers
- Dumb-bell swimmers
- Swimmer-tracer scattering at low Reynolds number
- CUDA simulations of active dumbbell suspensions