On the stability of a plane vortex sheet with respect to three-dimensional disturbances-Reference-Cited by-同舟云学术

On the stability of a plane vortex sheet with respect to three-dimensional disturbances

Published:1963-03 Issue:3 Volume:15 Page:335-336
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Fejer J. A.,Miles John W.

Abstract

The previously established criterion for the stability of a vortex sheet with respect to two-dimensional disturbances in a compressible fluid is extended to three-dimensional disturbances, and it is shown that disturbances travelling at sufficiently oblique angles with respect to the undisturbed flow are unstable. Slip-line instability downstream of a Mach reflexion is discussed briefly.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference5 articles.

1. Bryson, A. E. & Gross, R. W. F. 1961 J. Fluid Mech. 10,1–16.

2. Duff, R. E. 1962 Proceedings of Symposia in Applied Mathematics,13,77–8.

3. Lin, C. C. 1955 The Theory of Hydrodynamic Stability .Cambridge University Press.

4. Miles, J. W. 1958 J. Fluid Mech. 4,538–52.

5. Landau, L. D. & Lifschitz, E. M. 1959 Fluid Mechanics .London:Pergamon Press.

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