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Stability of the laminar mixing of two parallel streams with respect to supersonic disturbances

Published online by Cambridge University Press:  28 March 2006

M. Lessen ,
J. A. Fox  and
H. M. Zien
M. Lessen
Affiliation:
The University of Rochester, Rochester, N.Y.
J. A. Fox
Affiliation:
The University of Rochester, Rochester, N.Y.
H. M. Zien
Affiliation:
The University of Rochester, Rochester, N.Y.
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Abstract

The stability with respect to ‘supersonic’ disturbances of the laminar mixing of two parallel streams of a compressible fluid is studied. For locally supersonic disturbances there will be waves propagating outward from the mixing layer. The numerical results show that the flow is generally unstable with respect to supersonic disturbances, although the amplification rate is smaller than that for subsonic disturbances. The flow is more unstable at lower Mach number, and the increase of the angle between the disturbance wave-number vector and the principal flow direction tends to increase the instability.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 25 , Issue 4 , August 1966 , pp. 737 - 742
Copyright
© 1966 Cambridge University Press

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References

Lees, L. & Lin, C. C. 1946 Nat. Adv. Comm. Aero., Wash., TN no. 1115.
Lessen, M., Fox, J. A. & Zien, H. M. 1965a J. Fluid Mech. 23, 35.
Lessen, M., Fox, J. A. & Zien, H. M. 1965b J. Fluid Mech. 21, 12.
Miles, J. W. 1958 J. Fluid Mech. 4, 53.
Zien, H. M. 1965 Ph.D. dissertation, University of Rochester.