Hostname: page-component-cb9f654ff-c75p9 Total loading time: 0 Render date: 2025-08-22T17:34:02.271Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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.

Information

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

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.