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Mach reflection of a ring shock wave from the axis of symmetry

Published online by Cambridge University Press:  26 April 2006

E. M. Barkhudarov ,
M. O. Mdivnishvili ,
I. V. Sokolov ,
M. I. Taktakishvili  and
V. E. Terekhin
I. V. Sokolov
Affiliation:
General Physics Institute, Vavilova 38, 117942 Moscow, USSR
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Abstract

The paper is devoted to the theoretical and experimental investigation of the ring (toroidal) shock wave near the axis of symmetry. The theoretical approach is based upon the Chester–Chisnell–Whitman method. The experimental toroidal shock wave is generated by a novel inducer and visualized by the shadow technique. Attention is paid to the manner of reflection of the shock wave from the axis of symmetry. This reflection appears to be irregular even at small distances from the centre of the ring. This phenomenon is due to the cumulative acceleration of the converging axisymmetric shock front near the axis. The acceleration results in an increase in the incidence angle up to that characteristic of Mach (irregular) reflection.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 226 , May 1991 , pp. 497 - 509
Copyright
© 1991 Cambridge University Press

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References

Barkhudaeov, E. M., Kossyi, I. A., Mdivnishvili, M. O., Sokolov, I. V. & Taktakishvili, M. I., 1988 Non-one-dimensional converging shock waves. Fluid Dyn. N2, 164–170.Google Scholar
Bazhenova, T. V. & Gvozdeva, L. G., 1977 Non-stationary Interactions of Shock Waves. Moscow: Nauka (in Russian).
Berejetskaya, N. K., Bolshakov, E. F., Golubev, S. K., Dorofeyuk, A. A., Kossyi, I. A., Semenov, V. E. & Terekhin, V. E., 1984 Gas-dynamic phenomena accompanying a ring surface discharge. Sov. Phys., J. Exp. Theor. Phys. 87, 1926–1933.Google Scholar
Courant, R. & Friedrtchs, K. O., 1948 Super sonic Flows and Shock Waves. Interscience.
Guderley, G.: 1942 Strong spherical or cylindrical shock waves near the centre or the axis (in German). Luftfahrt for schung 19, 302.Google Scholar
Kossyi, I. A., Krasnobaev, K. V., Sokolov, I. V. & Terekhin, V. E., 1987 Cumulation of shock waves excited by axisymmetric slipping discharge. Sov. Phys. –Lebedev Inst. Rep. N11, 3–5.Google Scholar
Nayfeh, A. H.: 1981 Introduction to Perturbation Techniques. Wiley.
Sokolov, I. V.: 1986 Behaviour of an axisymmetric shock wave in the neighbourhood of cumulation point. Sev. Phys., J. Exp. Theor. Phys. 91, 1331–1335.Google Scholar
Stanyukowich, K. P.: 1955 Non-steady Motions of Continuous Medium. Moscow: Gostekhizdat (in Russian).
Whitham, G. B.: 1974 Linear and Nonlinear Waves. Wiley.