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The discrete-cilia approach to propulsion of ciliated micro-organisms

Published online by Cambridge University Press:  29 March 2006

N. Liron  and
S. Mochon
N. Liron
Affiliation:
Department of Applied Mathematics, The Weizmann Institute of Science, Rehovot, Israel
S. Mochon
Affiliation:
Department of Applied Mathematics, The Weizmann Institute of Science, Rehovot, Israel
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Abstract

The discrete-cilia approach, or cilia sublayer model, is considered for propulsion of ciliated micro-organisms. Natural periodicity assumptions enable us to obtain a readily usable expression for the velocity where dependences on the direction of propulsion of the metachronal wave and on the time are not averaged out. Thus instantaneous interaction of the cilia with the fluid is calculable, and time-dependent velocity profiles are obtained. Calculations show that the velocity above the cilia sublayer is time independent and uniform. Closer to the bases fluid velocity fluctuations are large.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 75 , Issue 3 , 11 June 1976 , pp. 593 - 607
Copyright
© 1976 Cambridge University Press

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