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A spherical envelope approach to ciliary propulsion

Published online by Cambridge University Press:  29 March 2006

J. R. Blake
J. R. Blake
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

In this paper, an attempt has been made to model the dynamics of ciliary propulsion through the concept of an ‘envelope’ covering the ends of the numerous cilia of the microscopic organism. This approximation may be made in the case when the cilia are close together, as can occur in the case of the symplectic metachronal wave (i.e. the wave travels in the same direction as the effective beat). For simplicity, a spherical model has been chosen, and the analysis which follows is a correction to Lighthill's (1952) paper on squirming motions of a nearly spherical organism. The velocity and efficiency compared to the work done in pushing an inert organism are obtained, and compared to that of a ciliated organism.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 46 , Issue 1 , 15 March 1971 , pp. 199 - 208
Copyright
© 1971 Cambridge University Press

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