J E Avron and O Raz 2008 New J. Phys. 10 063016 doi:10.1088/1367-2630/10/6/063016
A geometric theory of swimming: Purcell's swimmer and its symmetrized cousin
J E Avron1 and O Raz
Show affiliationsWe develop a qualitative geometric approach to swimming at low Reynolds numbers which avoids solving differential equations and uses instead landscape figures describing the swimming and dissipation. This approach gives complete information about swimmers that swim on a line without rotations and gives the main qualitative features of general swimmers that can also rotate. We illustrate this approach for a symmetric version of Purcell's swimmer, which we solve by elementary analytical means within slender body theory. We then apply the theory to derive the basic qualitative properties of Purcell's swimmer.
- PACS
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- Dates
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Issue 6 (June 2008)
Received 14 December 2007
Published 13 June 2008
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A geometric theory of swimming: Purcell's swimmer and its symmetrized cousin
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