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Bilateral estimates of the critical Mach number for some classes of carrying wing profiles

Published online by Cambridge University Press:  17 February 2009

F. G. Avkhadiev  and
A. M. Elizarov
F. G. Avkhadiev
Affiliation:
Chebotarev Institute of Mathematics and Mechanics, Kazan State University, University St. 17, Kazan 420008, Tatarstan, Russia.
A. M. Elizarov
Affiliation:
Chebotarev Institute of Mathematics and Mechanics, Kazan State University, University St. 17, Kazan 420008, Tatarstan, Russia.
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Abstract

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A problem of estimation of the critical Mach number for a class of carrying wing profiles with a fixed theoretical angle of attack is considered. The Chaplygin gas model is used to calculate the velocity field of the flow. The original problem is reduced to a special minimax problem. A solution is constructed for an extended class of flows including multivalent ones, hence M* is estimated from above. For a fixed interval [0, β0], β0 ≅ 3π/8, an estimate of M* is given from below.

Type
Research Article
Information
The ANZIAM Journal , Volume 42 , Issue 4 , April 2001 , pp. 494 - 503
Copyright
Copyright © Australian Mathematical Society 2001

References

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