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The effect of overtaking disturbances on the motion of converging shock waves

Published online by Cambridge University Press:  29 March 2006

M. Yousaf
Affiliation:
Mathematics Department, Laurentian University, Sudbury, Ontario

Abstract

In this paper an exact formulation of the strength of the disturbance overtaking a shock is presented. The similarity solution is used to find the five interaction terms at all points of the flow. This work confirms that when the strength of the overtaking disturbance is known the CCW approximation may be modified to become an exact theory.

Type
Research Article
Copyright
© 1974 Cambridge University Press

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References

Butler, D. S. 1954 Armament R. & D. Establishment Rep. no. 54/54.
Chester, W. 1954 Phil. Mag. 45 (7), 1293.
Chester, W. 1960 Adv. in Appl. Mech. 6, 119.
Chisnell, R. F. 1957 J. Fluid Mech. 2, 286.
Guderley, G. 1942 Luftfahrtforsch. 19, 302.
Hayes, W. D. 1968 J Fluid Mech. 32, 305.
Oshima, K., Sugaya, K., Yammamoto, M. & Totoki, T. 1965 ISAS, University of Tokyo Rep. no. 393.
Rościszewski, J. J. 1960 J. Fluid Mech. 8, 337.
Stanyukovich, K. P. 1960 Unsteady Motion of Continuous Media (trans. ed. M. Holt). Pergamon.
Welsh, R. L. 1967 J. Fluid Mech. 29, 61.
Whitham, G. B. 1957 J. Fluid Mech. 2, 145.
Whitham, G. B. 1958 J. Fluid Mech. 4, 337.
Zel'Dovich, Ya. B. & Raizer, Yu. P. 1967 Physics of Shock Waves and High Temperature Hydrodynamic Phenomena, 2nd ed., English trans., vol. 2. Academic.