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Note on instability of compressible jets and wakes to long-wave disturbances

Published online by Cambridge University Press:  28 March 2006

A. E. Gill  and
P. G. Drazin
A. E. Gill
Affiliation:
Department of Applied Mathematics and Theoretical Physics, Cambridge
P. G. Drazin
Affiliation:
Department of Mathematics, University of Bristol
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Abstract

A two-dimensional jet or wake is observed in a frame of reference moving with the fluid at infinity, so that the velocity w(y) in the x-direction tends to zero as y → ± ∞. The fluid is assumed to be an inviscid perfect gas, to undergo-adiabatic changes, and the local speed of sound to be a function of y such that a(y)→ a∞, as y → ±∞. If the disturbance pressure has the form

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 22 , Issue 2 , June 1965 , pp. 415
Copyright
© 1965 Cambridge University Press

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References

Drazin, P. G. & Howard, L. N. 1962 J. Fluid Mech. 14, 257.
Lighthill, M. J. 1950 Quart. J. Mech. Appl. Math. 3, 303.