Hydromechanics of Propulsion for Ciliated Micro-Organisms
CaltechAUTHORS
View Archive Info| Field | Value | |
| Title |
Hydromechanics of Propulsion for Ciliated Micro-Organisms
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| Creator |
Brennen, Christopher
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| Subject |
Caltech Library Services
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| Description |
To the present time much of the hydrodynamic analysis of the locomotion of ciliated micro-organisms has concentrated on the localized interaction between the cilia and the fluid medium. In doing so most investigators have found it necessary to simplify the larger scale flow and to consider "infinite sheet models" in which the fluid flow solutions are purely harmonic and the wave properties invariant in the rectilinear coordinate parallel to the sheet. The resulting mean motion is purely unidirectional and thus the hydrodynamic solution greatly simplified. Since these "infinite sheet models" conveniently termed the "envelope" and "sub-layer" models are discussed in detail by Blake and Sleigh (1974a, b) elsewhere in this volume further amplification is unnecessary. It is convenient, however, for our purposes to think of these as fluid/cilia interaction models describing the local interaction between the cilia and the fluid. The relative merits of the two types of model and criteria which describe their respective region of validity are discussed by Brennen (1974) and by Blake and Sleigh (1974b). In the present paper we will discuss some of the characteristics of the flow around "finite" ciliated micro-organisms, pointing out along the way those effects not experienced in the infinite sheet models but which are important in evaluating, say, the propulsive velocity of a ciliated micro-organism. The only previous solution for a "finite" body to appear in the literature seems to be that of Lighthill (1952), later modified by Blake (1971a) in which traveling surface waves on a sphere (to use the "envelope" model) are approximated by combining two spherical harmonic functions whose orders differ by one. But this solution is very restrictive in terms of the permitted variation of waveform and wave amplitude over the body and its extension to nonspheriodal bodies would involve prohibitive algebraic complexity. |
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| Publisher |
Plenum Press
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| Contributor |
Wu, Theodore Y.-T.
Brokaw, Charles J. Brennen, Christopher |
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| Date |
1975
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| Type |
Book Section
PeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://authors.library.caltech.edu/186/1/BRE022.pdf
Brennen, Christopher (1975) Hydromechanics of Propulsion for Ciliated Micro-Organisms. In: Swimming and Flying in Nature. Plenum Press , New York, pp. 235-253. ISBN 0306370883 http://resolver.caltech.edu/CaltechAUTHORS:BREsfn75 <http://resolver.caltech.edu/CaltechAUTHORS:BREsfn75> |
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| Relation |
http://resolver.caltech.edu/CaltechAUTHORS:BREsfn75
http://authors.library.caltech.edu/186/ |
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