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The transition from regular to Mach reflexion and from Mach to regular reflexion in truly non-stationary flows

Published online by Cambridge University Press:  19 April 2006

G. Ben-Dor
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel
K. Takayama
Affiliation:
Institute of High Speed Mechanics (IHSM), Tohoku University, Sendai, Japan
T. Kawauchi
Affiliation:
Institute of High Speed Mechanics (IHSM), Tohoku University, Sendai, Japan

Abstract

An experimental investigation on the IHSM 4 × 8 cm Shock Tube has confirmed the hypothesis of Ben-Dor (1978) and Ben-Dor & Glass (1979) that in truly non-stationary flows the transitions from regular to Mach reflexion (RR → MR) and from Mach to regular reflexion (MR → RR) are different. Consequently it is shown that a hysteresis loop exists in the ${\rm RR}\rightleftarrows {\rm MR}$ transition phenomenon.

Type
Research Article
Copyright
© 1980 Cambridge University Press

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References

Auld, D. J. & Bird, G. A. 1976 A.I.A.A. Paper, no. 76–322.
Bazhenova, T. V., Gvozdeva, L. G., Lobastov, Yu. S., Naboko, I. M., Nemkov, R. G. & Predvoditeleva, O. A. 1968 Udarnye Volny v Realnykh Gazkah, pp. 90113. Moscou: Nauka Press. (Trans. 1969 Shock Waves in Real Gases, N.A.S.A. TTF-585, Washington.)
Ben-Dor, G. 1978 UTIAS Rep. no. 232.
Ben-Dor, G. 1980 A.I.A.A. J. (to appear).
Ben-Dor, G. & Glass, I. I. 1979 J. Fluid Mech. 92, 459.
Bleakney, W. & Taub, A. H. 1949 Rev. Mod. Phys. 21, 584.
Heilig, W. H. 1969 Phys. Fluids Suppl. 12, I 154.
Henderson, L. F. & Lozzi, A. 1975 J. Fluid Mech. 68, 139.
Hornung, H. G., Oertel, H. & Sandeman, J. 1979 J. Fluid Mech. 90, 541.
Itoh, S. & Itaya, M. 1978 Japan Soc. Mech. Eng. Paper no. 408.
Kawamura, R. & Saito, H. 1956 J. Phys. Soc. Japan 11, 534.
Mach, E. 1878 Akad. Wiss. Wien 77, II 819.
Neumann, J. von 1963 Collected Works, vol. 6. Pergamon Press.
Smith, L. G. 1945 OSRD Rep. 6271.
Takayama, K., Honda, M. & Onodera, O. 1977 Tohoku Univ. Rep. Inst. High Speed Mech. 35, 83.
Takayama, K. & Kawauchi, T. 1979 Tohoku Univ. Rep. Inst. High Speed Mech. (to appear).
White, D. R. 1951 Dept. of Phys., Princeton Univ., Tech. Rep. II-10.