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Unsteady interaction of a shock wave with a cellular vortex field

Published online by Cambridge University Press:  28 March 2006

J. E. Werner
J. E. Werner
Affiliation:
School of Aeronautics and Astronautics, New York University
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Abstract

The transient effects generated when a shock wave is suddenly disturbed by a field of cellular vortices have been studied. Both the pressure disturbance on the shock and the local shock velocity are found to be strong functions of the cell geometry. Disturbances are resolved into transient components and sinusoidal components of constant amplitude. The transients are found to die out as t−3/2, t being the interaction time, except for one particular case of the cell geometry for which they diminish as t−1/2. Furthermore, the analysis indicates that the initial magnitude of the transient components may be quite appreciable in comparison with the sinusoidal component. The theory is extended to treat the convection through the shock of a single column of vortex cells.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 10 , Issue 2 , March 1961 , pp. 195 - 208
Copyright
© 1961 Cambridge University Press

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References

Cambi, E. 1956 J. Math. Phys. 35, 114.
Chang, C. T. 1957 J. Aero. Sci. 24, 675.
Chu, B. T. & Kovasznay, L. S. G. 1958 J. Fluid Mech. 3, 494.
Jeffreys, H. J. & Jeffreys, B. S. 1950 Methods of Mathematical Physics. Cambridge University Press.
Kovasznay, L. S. G. 1953 J. Aero. Sci. 20, 657.
Moore, F. K. 1953 N.A.C.A., Tech. Note, no. 2879.
Ram, G. S. & Ribner, H. S. 1957 Proceedings of Heat Transfer and Fluid Mechanics Institute. Stanford University Press.
Ribner, H. S. 1953 N.A.C.A. Tech. Note, no. 2864.
Werner, J. E. 1959 Air Force Office of Scientific Research, Tech. Rep., no. 59-46.