Journal ArticleDOI
Swimming of a waving plate
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In this article, the basic principle of fish propulsion is studied, and the thrust, power required, and energy imparted to the wake are calculated, and propulsive efficiency is also evaluated.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 wavelength 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.read more
Citations
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Journal ArticleDOI
Review of fish swimming modes for aquatic locomotion
TL;DR: In this article, an overview of the swimming mechanisms employed by fish is presented, with a relevant and useful introduction to the existing literature for engineers with an interest in the emerging area of aquatic biomechanisms.
Journal ArticleDOI
Oscillating foils of high propulsive efficiency
TL;DR: In this article, the phase angle between transverse oscillation and angular motion is the critical parameter affecting the interaction of leading-edge and trailing-edge vorticity, as well as the efficiency of propulsion.
Journal ArticleDOI
Hydrodynamics of Fishlike Swimming
TL;DR: In this article, the principal mechanism for producing propulsive and transient forces in oscillating flexible bodies and fins in water, the formation and control of large-scale vortices, was identified.
Journal ArticleDOI
Energy harvesting eel
J. J. Allen,Alexander Smits +1 more
TL;DR: In this article, the authors examined the feasibility of placing a piezoelectric membrane or "eel" in the wake of a bluff body and using the von Karman vortex street forming behind the bluff body to induce oscillations in the membrane.
References
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Book
A treatise on the theory of Bessel functions
TL;DR: The tabulation of Bessel functions can be found in this paper, where the authors present a comprehensive survey of the Bessel coefficients before and after 1826, as well as their extensions.
Journal ArticleDOI
Note on the swimming of slender fish
TL;DR: In this paper, the authors determine what transverse oscillatory movements a slender fish can make which will give it a high Froude propulsive efficiency, and the recommended procedure is for the fish to pass a wave down its body at a speed of around of the desired swimming speed, the amplitude increasing from zero over the front portion to a maximum at the tail, whose span should exceed a certain critical value.
Journal ArticleDOI
Analysis of the Swimming of Microscopic Organisms
TL;DR: In this article, it was shown that if the waves down neighbouring tails are in phase, very much less energy is dissipated in the fluid between them than when the waves are in opposite phase.
Journal ArticleDOI
Analysis of the Swimming of Long and Narrow Animals
TL;DR: In this paper, the equilibrium of a flexible cylinder immersed in water when waves of bending of constant amplitude travel down it at constant speed is considered, and the amplitude of the waves which produce the greatest forward speed for a given output of energy is calculated and compared with James Gray's photographs of a swimming snake and a leech.
Journal ArticleDOI
The Action of Waving Cylindrical Tails in Propelling Microscopic Organisms
TL;DR: In this article, a model of the tail of a spermatozoon is discussed from a hydrodynamical point of view. The tail is assumed to be a flexible cylinder which is distorted by waves of lateral displacement propagated along its length, the resulting stress and motion in the surrounding fluid is analyzed mathematically.