Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-22T04:23:58.783Z Has data issue: false hasContentIssue false
  • English
  • Français

Analysis of the swimming of elastic slender bodies excited by an external force

Published online by Cambridge University Press:  11 April 2006

A. M. Lavie
A. M. Lavie
Affiliation:
Department of Environmental Sciences, Tel-Aviv University, Ramat Aviv, Tel-Aviv, Israel
Get access Rights & Permissions [Opens in a new window]

Abstract

The essential difference, from the theoretical point of view, between an externally excitedlciody and a fish is that the latter can apply lateral vibratory movements at any part of its surface, whereas in the ‘artificial fish’ lateral vibrations are applied only at the point where the external force acts on the body. A good example which illustrates how the artificial fish swims is the ‘Pod’. The Pod is a medical device consisting of a small magnet attached to a plastic ‘tail’. If the Pod is placed in a patient's blood vessel, and an alternating magnetic field is applied, the magnet oscillates angularly and the plastic tail causes it to swim. The purpose of the device is to deliver medicaments at any desired location in the circulatory system.

In this paper the theory of swimming of elastic slender bodies excited by an external force is presented. Special reference is made to the hydrodynamic forces acting on a swimming cylinder in viscous fluctuating flow. The results obtained are used in the analysis of the propulsion mechanism of the Pod.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 53 , Issue 4 , 27 June 1972 , pp. 701 - 714
Copyright
© 1972 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bispijnohoff, R. L., Ashley, H. & Halfman, R. L. 1955 Aeroehticity, pp. 67–71, 81–87. Addison-Wesley.
Frei, E. H., Leibinzohn, S., Neufeld, H. N. & Ashkenazy, H. N. 1963 The Pod, a new magnetic device for medical application. Proc. 16th Conf. Eng. Med. Biol., Baltimore, p. 156.Google Scholar
Frei, E. H., Leibinzohn, S. & Driller, I. 1966 The Pod – a magnetically remote con-trolled device. Am. J. Med. Electron.Google Scholar
Kaplwn, S. 1957 Low Reynolds numbers flow past a circular cylinder. J. Math. Mech., 6, 595–603.Google Scholar
Kaplun, S. & Lagerstrom, P. A. 1957 Asymptotic expansion of Navier-Stokes solutions for small Reynolds numbers. J. Math. Mech., 6, 585–593.Google Scholar
Kely, H. R., Rentz, A. W. & Siekxan, J. 1964 Experimental studies on the motion of a flexible hydrofoil. J. Pluid Mech., 19, 30–48.Google Scholar
Lavie, A. M. 1970a The forces on a slender flexible cylinder swimming in viscous flow. Israel J. Tech., 8, 51.Google Scholar
Lavie, A. M. 1970b The swimming of the Pod: theoretical analysis and experimental results. I.E.E.E. Tram. on Magnetics, MAG-6, no. 2.Google Scholar
Lighthill, M. J. 1960a Mathematics and aeronautics. J. Roy. Aero. Soc., 64, 375–395.Google Scholar
Lighthill, M. J. 1960b Note on the swimming of slender fish. J. Fluid Mech., 9, 305–317.Google Scholar
Longman, I. M. & Lavie, A. M. 1966 On the swimming of a Pod. J. Inst. Appl., 2, 273–282.Google Scholar
Segel, L. A. 1961 A uniform-valid asymptotic expansion of the solution on unsteady boundary-layer problem. Quart. Appl. Math, 23, 180–197.Google Scholar
Stuart, J. T. & Woodgate, L. 1955 Experimental determination of the aerodynamical damping on a vibrating circular cylinder. Phil. Mug., 46, 40–46.Google Scholar
Taylor, G. I. 1952 Analysis of the swimming of long end narrow animals. Pmc. Roy. Soc. A 214, 168–183.Google Scholar
Watson, G. N. 1962 A Tmmtise of the Theory of Bessd Fmctions. Cambridge University Press.