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Estimates for critical Mach number under isoperimetric constraints1

Published online by Cambridge University Press:  26 September 2008

F. G. Avkhadiev ,
A. M. Elizarov  and
D. A. Fokin
A. M. Elizarov
Affiliation:
Chebotarev Institute of Mathematics and Mechanics, Kazan State University, Tatarstan, Kazan 420008, Russia
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Abstract

The problem of maximization of the critical Mach number in a subsonic flow of an ideal gas is considered. The Chaplygin gas approximation and the integral representation of the solution of the inverse boundary-value problem of aerohydrodynamics are used to reduce the problem to a special minimax one. The exact solution of the latter is obtained on the basis of the Lindelöf principle. An upper estimate for the critical Mach number is obtained. The results are generalized for the case of airfoil cascades. Some open problems are described.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 6 , Issue 5 , October 1995 , pp. 385 - 398
Copyright
Copyright © Cambridge University Press 1995

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References

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