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Self-propulsion in a viscous fluid: arbitrary surface deformations

Published online by Cambridge University Press:  27 February 2006

EHUD YARIV
EHUD YARIV
Affiliation:
Faculty of Mechanical Engineering, Technion – Israel Institute of Technology, Haifa 32000, Israel
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Abstract

The self-propulsion of a generally deformable body at low-Reynolds-number conditions is discussed. The translational and rotational velocities of the body relative to an inertial reference system are presented as surface quadratures using a Lagrangian ‘body-fixed’ shape description. The power dissipated into the fluid is obtained as a quadratic functional of the surface deformation rate. For symmetric strokes, the net displacement obtained by the execution of a single deformation cycle is provided by a functional of the intrinsic swimmer shape and its time derivative.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 550 , 10 March 2006 , pp. 139 - 148
Copyright
© 2006 Cambridge University Press

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