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Swimming of a Waving Plate

Wu, T. Yao-tsu (1960) Swimming of a Waving Plate. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:97-1

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Abstract

The purpose of this paper is to study the basic principle of fish propulsion. As a simplified model, the two-dimensional potential flow over a waving plate of finite chord is treated. The solid plate, assumed to be flexible and thin, is capable of performing the motion which consists of a progressing wave of given wave length and phase velocity along the chord, the envelope of the wave train being an arbitrary function of the distance from the leading edge. The problem is solved by applying the general theory for oscillating deformable airfoils. The thrust, power required, and the energy imparted to the wake are calculated, and the propulsive efficiency is also evaluated. As a numerical example, the waving motion with linearly varying amplitude is carried out in detail. Finally, the basic mechanism of swimming is elucidated by applying the principle of action and reaction.


Item Type:Report or Paper (Technical Report)
Additional Information:Office of Naval Research, Department of the Navy, Contract Nonr- 220(35). The assistance rendered by Mr. D. P. Wang, Mrs. Zora Harrison, and Mrs. Luna Fung in the computations is greatly appreciated.
Record Number:CaltechAUTHORS:97-1
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:97-1
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:412
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:09 Jun 2005
Last Modified:26 Dec 2012 08:40

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