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The European Physical Journal Special Topics

, Volume 187, Issue 1, pp 135–144 | Cite as

Low Reynolds number hydrodynamics of asymmetric, oscillating dumbbell pairs

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Abstract

Active dumbbell suspensions constitute one of the simplest model systems 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, but 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.

Keywords

European Physical Journal Special Topic Hydrodynamic Interaction Collective Motion Dumbbell Model Stroke Amplitude 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2010

Authors and Affiliations

  1. 1.Rudolf Peierls Centre for Theoretical PhysicsUniversity of OxfordOxford, OX1 3NPUK

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