Dynamics and interactions of active rotors

M Leoni, TB Liverpool

Research output: Contribution to journalArticle (Academic Journal)peer-review

29 Citations (Scopus)


We consider a simple model of an internally driven self-rotating object; a rotor, confined to two dimensions by a thin film of low-Reynolds-number fluid. We undertake a detailed study of the hydrodynamic interactions between a pair of rotors and find that their effect on the resulting dynamics is a combination of fast and slow motions. We analyse the slow dynamics using an averaging procedure to take account of the fast degrees of freedom. Analytical results are compared with numerical simulations. Hydrodynamic interactions mean that while isolated rotors do not translate, bringing together a pair of rotors leads to motion of their centres. Two rotors spinning in the same sense rotate with an approximately constant angular velocity around each other, while two rotors of opposite sense, both translate with the same constant velocity, which depends on the separation of the pair. As a result a pair of counter-rotating rotors are a promising model for controlled self-propulsion.
Translated title of the contributionDynamics and interactions of active rotors
Original languageEnglish
Pages (from-to)64004 - 64009
Number of pages6
Volume92, number 6
Publication statusPublished - Dec 2010

Bibliographical note

Publisher: IOP


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