Low Reynolds number hydrodynamics of asymmetric, oscillating dumbbell pairs

Details Low Reynolds number hydrodynamics of asymmetric, oscillating dumbbell pairs Low Reynolds number hydrodynamics of asymmetric, oscillating dumbbell pairs

2010-07-02

arxiv.org/abs/1007.0337v1

EPJ-Special Topics 187: 135-144, 2010

Physics

Condensed Matter

Soft Condensed Matter

10 pages, to appear in EPJ Special Topics

Scientific paper

10.1140/epjst/e2010-01278-y

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.

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