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On the lift and drag of cavitating profiles and the maximum lift and drag

Published online by Cambridge University Press:  11 October 2011

Dmitri V. Maklakov
Dmitri V. Maklakov*
Affiliation:
Chebotarev Institute of Mathematics and Mechanics, Kazan Federal University, Nuzhina, 17, Kazan, 420008, Russia
*
†Email address for correspondence: dmitri.maklakov@ksu.ru
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Abstract

In this paper, on the basis of the classical Levi-Civita formulae for hydrodynamic forces exerted on any profile in an infinite cavity flow, we deduce new representations for the lift and drag. In these representations the forces are expressed only in terms of the velocity distribution along the profile surface. So, the representations are analogous to the well-known Kutta–Joukowskii theorem. By means of the new representations we find optimum velocity distributions which provide the maximum lift or maximum drag of cavitating profiles and determine corresponding optimum shapes.

JFM classification

Wakes/Jets: Jets Wakes/Jets: Separated flows Wakes/Jets: Wakes

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Type
Papers
Information
Journal of Fluid Mechanics , Volume 687 , 25 November 2011 , pp. 360 - 375
Copyright
Copyright © Cambridge University Press 2011

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