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Inviscid Batchelor-model flow past an airfoil with a vortex trapped in a cavity

Published online by Cambridge University Press:  26 April 2006

A. V. Bunyakin ,
S. I. Chernyshenko  and
G. Yu. Stepanov
A. V. Bunyakin
Affiliation:
Department of Applied Mathematics, Krasnodar Polytechnic Institute, 350072 Krasnodar, Russia
S. I. Chernyshenko
Affiliation:
Institute of Mechanics, Moscow University, 119899 Moscow, Russia
G. Yu. Stepanov
Affiliation:
Institute of Mechanics, Moscow University, 119899 Moscow, Russia
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Abstract

An efficient method of constructing inviscid Batchelor-model flows is developed. The method is based on an analytic continuation of the potential part of the flow into the closed-streamline vortex region. Numerical solutions are presented for Batchelor-model flows past airfoils with cavities. With the airfoil and dividing streamline shape, the eddy vorticity, and the jump in the Bernoulli constant across the eddy boundary given, the program calculates the corresponding cavity shape and the entire flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 323 , 25 September 1996 , pp. 367 - 376
Copyright
© 1996 Cambridge University Press

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