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Further experiments on transition to Mach reflexion

Published online by Cambridge University Press:  19 April 2006

L. F. Henderson
Affiliation:
Department of Mechanical Engineering, University of Sydney, New South Wales 2006, Australia
A. Lozzi
Affiliation:
Department of Mechanical Engineering, University of Sydney, New South Wales 2006, Australia

Abstract

Our 1975 paper reported the results of experiments on shock reflexion in a wind tunnel and a shock tube; further results are presented here. For strong shocks it is shown that transition to Mach reflexion takes place continuously at the shock wave incidence angle ω0 corresponding to the normal shock point ω0 = ωN, unless the downstream boundaries form a throat. In this event transition can be promoted anywhere within the range ω0 [les ] ωN, and it is even possible to suppress regular reflexion altogether! However when ω0 < ωN the transition is discontinuous and accompanied by hysteresis. Again for strong shocks evidence is presented which suggests that the famous persistence of regular reflexion beyond the ωN point ω0 > ωN is spurious. For weak shocks the transition condition is not known but it is found that even for regular reflexion a marked discrepancy between theory and experiment develops as the shocks become progressively weaker. Also when weak shocks diffract over single concave corners there is a somewhat surprising discontinuity in the regular reflexion range. It seems that none of these phenomena can be adequately explained by real gas effects such as viscosity and variation of specific heats.

Type
Research Article
Copyright
© 1979 Cambridge University Press

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References

Bleakney, W. & Taub, A. H. 1949 Rev. Mod. Phys. 21, 584.
Bryson, A. E. & Gross, R. W. F. 1961 J. Fluid Mech. 10, 1.
Eggink, H. 1943 Zentralstelle Wissenschaftliche Ber., Aachen, no. 1850.
Griffith, W. C. & Bleakney, W. 1954 Am. J. Phys. 22, 597.
Guderley, K. G. 1947 HQ Air Materiel Command, Wright Field, Dayton, Ohio, Tech. Rep. F-TR-2168 ND.
Guderley, K. G. 1962 The Theory of Transonic Flow. Pergamon Press.
Gvozdeava, L. G., Bazhenova, T. V., Predvoditeleva, O. A. & Fokeev, V. P. 1969 Astron. Acta 14, 503.
Gvozdeava, L. G., Bazhenova, T. V., Predvoditeleva, O. A. & Fokeev, V. P. 1970 Astron. Acta 15, 503.
Heilig, W. H. 1969 Shock Tube Symp., Phys. Fluids Suppl. I, 1154.
Henderson, L. F. 1964 Aero. Quart. 15, 181.
Henderson, L. F. 1965 Aero. Quart. 16, 42.
Henderson, L. F. 1966 J. Fluid Mech. 26, 607.
Henderson, L. F. 1967 Z. Flugwiss. 15 (2), 57.
Henderson, L. F. & Lozzi, A. 1975 J. Fluid Mech. 68, 139.
Kawamura, R. & Saito, H. 1956 J. Phys. Soc. Japan 11, 584.
Law, C. K. & Glass, I. I. 1971 C.A.S.I. Trans. 4, 2.
Lean, G. H. 1946 Rep. Aero. Res. Comm. no. 10629 G.B.
Lozzi, A. 1975 Transition between regular and Mach reflexion. Ph.D. thesis, University of Sydney.
Merritt, D. L. 1968 A.I.A.A. J. 6, 1208.
Meshkov, E. E. 1970 Fluid Dyn. 5, 554.
Mölder, S. 1971 C.A.S.I. Trans. 4, 73.
Neumann, J. von 1963 Collected Works, vol. 6. Pergamon.
Pantazopol, D., Bellet, J. C. & Soustre, J. 1972 C.R. Acad. Sci., Paris, 275, A225.
Polachek, H. & Seeger, R. J. 1951 Phys. Rev. 84, 922.
Sakurai, A. 1964 J. Phys. Soc. Japan 19, 1440.
Semenov, A. H., Syshchikova, M. P. & Berezkina, M. K. 1970 Sov. Phys. Tech. Phys. 15, 795.
Smith, L. G. 1945 Photographic investigations of the reflection of plane shocks in air. O.S.R.D. Rep. no. 6271.Google Scholar
Smith, W. R. 1959 Phys. Fluids 2, 533.
Sternberg, J. 1959 Phys. Fluids 2, 179.
Wecken, F. 1949 Z. angew. Math. Mech. 29, 147.
Weynantes, R. R. 1968 Tech. Note Inst. Aerospace Studies, University of Toronto, UTIAS 126.
White, D. R. 1952 Proc. 2nd Midwestern Conf. on Fluid Mech., p. 253. Columbus: Ohio State University Press.
Wuest, W. 1948 Z. angew. Math. Mech. 28, 3.