Abstract
This paper discusses two infinite length models (planar and cylindrical) for ciliary propulsion of microscopic organisms. Through the concept of an extensible envelope (instantaneous surface covering the numerous cilia) over the organism, we consider a small amplitude analysis for the velocity of propulsion. A comparison of the velocities of propulsion for the infinite models reveals that they are just over twice that obtained for the finite spherical model (Blake 1971). This indicates that planeness is more important than finiteness, as the solution for typical micro-organisms (e.g. disk-shaped) should occur somewhere between these two models. The maximum velocity of propulsion obtained is one quarter of the wave velocity; that inferred for Opalina, the organism modelled, is nearly one fifth of the wave velocity. Associated shapes of the surface and paths of movement of the tips of the cilia are illustrated.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference10 articles.
1. Blake, J. R. 1971 A spherical envelope approach to ciliary propulsion.J. Fluid Mech.,46,199–208.
2. Tuck, E. O. 1968 A note on a swimming problem.J. Fluid Mech.,31,305–308.
3. Burns, J. & Parkes, T. 1967 Peristaltic motion.J. Fluid Mech.,29,731–743.
4. Sleigh, M. A. 1968 Patterns of ciliary beating.Symp. Soc. exp. Biol.,22,131–150.
5. Weinstein, A. 1953 Generalized axially symmetric potential theory.Bull. Amer. Math.,59,20–28.
Cited by
101 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献