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Asymptotic solutions for linearized disturbances in parallel viscous compressible flows

Published online by Cambridge University Press:  11 April 2006

B. K. Shivamoggi
B. K. Shivamoggi
Affiliation:
Department of Aerospace Engineering, University of Maryland, College Park
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Abstract

Uniformly valid asymptotic solutions for linearized disturbances valid in a finite region containing the critical point u = c are developed using the method of multiple scales for a given isoenergetic basic flow. While uniformity of approximation will certainly improve the quantitative accuracy of a typical computation of stability characteristics of the flow, a major feature of such solutions is that they afford a more accurate description of the behaviour of the linearized disturbances in the neighbourhood of the critical point u = c.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 79 , Issue 4 , 23 March 1977 , pp. 745 - 751
Copyright
© 1977 Cambridge University Press

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References

Cole, J. D. 1968 Perturbation Methods in Applied Mathematics. Blaisdell.
Jeffreys, H. 1962 Asymptotic Approximations. Oxford University Press.
Lees, L. & Lin, C. C. 1946 N.A.C.A. Tech. Note, no. 1115.
Morawetz, C. S. 1954 J. Math. Phys. 35, 1.
Shivamoggi, B. K. 1976a Inviscid theory of stability of parallel compressible flows. To be published in J. Méc.Google Scholar
Shivamoggi, B. K. 1976b On the role of ‘subsonic’ and ‘supersonic’ disturbances in the generation of surface waves in a liquid layer adjacent to a high-speed gas stream.
Tam, K. K. 1968 J. Fluid Mech. 34, 145.