An oscillatingboundarylayer theory for ciliary propulsion
CaltechAUTHORS
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Title 
An oscillatingboundarylayer theory for ciliary propulsion


Creator 
Brennen, C.


Subject 
Caltech Library Services


Description 
This paper analyses the locomotion of a finite body propelling itself through a viscous fluid by means of travelling harmonic motions of its surface. The methods are developed with application to the propulsion of ciliated microorganisms in mind. Provided that the metachronal wavelength (of the surface motions) is much smaller than the overall dimensions of the body, the flow can be divided into an oscillatingboundarylayer flow to which is matched an external complementary Stokes flow. The present paper employs the envelope model of fluid/cilia interaction to construct equations of motion for the oscillating boundary layer. The final solution for the propulsive velocity is obtained by application of the condition of zero total force on the selfpropelling body; alternatively, if the organism is held at rest, the thrust it generates can be computed. Various optimum propulsive velocities for selfpropelling bodies and optimum thrusts for restrained bodies are analysed in some simple examples. The results are compared with the relatively sparse observations for a number of microorganisms.


Date 
197410


Type 
Article
PeerReviewed 

Format 
application/pdf


Identifier 
http://authors.library.caltech.edu/52/1/BRE018.pdf
Brennen, C. (1974) An oscillatingboundarylayer theory for ciliary propulsion. Journal of Fluid Mechanics, 65 (4). pp. 799824. ISSN 00221120. http://resolver.caltech.edu/CaltechAUTHORS:BREjfm74 <http://resolver.caltech.edu/CaltechAUTHORS:BREjfm74> 

Relation 
http://resolver.caltech.edu/CaltechAUTHORS:BREjfm74
http://authors.library.caltech.edu/52/ 
