Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-20T04:17:49.176Z Has data issue: false hasContentIssue false

Transition from regular to Mach reflection of shock waves Part 1. The effect of viscosity in the pseudosteady case

Published online by Cambridge University Press:  20 April 2006

H. G. Hornung
Affiliation:
Department of Physics, Faculty of Science, Australian National University. P.O. Box 4. Canberra, ACT 2600 Present address: DFVLR-AVA, 34 Göttingen, Bunsenstr. 10, W. Germany.
J. R. Taylor
Affiliation:
Department of Physics, Faculty of Science, Australian National University. P.O. Box 4. Canberra, ACT 2600

Abstract

It is demonstrated experimentally that the influence of viscosity on the transition condition in pseudosteady flow is very significant. A mechanism is proposed for this effect, which explains the features of the observed behaviour. In particular, an experimental method of finding the inviscid transition condition, by extrapolation to infinite Reynolds number, gives excellent agreement with the calcwlatcd inviscid sonic criterion. It is thought that this provides the explanation for the usual persistence of regular reflection beyond the sonic: condition.

Type
Research Article
Copyright
© 1982 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Becker, E. 1961 Prog. Aero. Sci. 1, 104173.
Ben Dor, G. & Glass, I. I. 1979 J. Fluid Mech. 92, 459596.
Bleakney, W. & Taub, A. H. 1949 Rev. Mod. Phys. 21, 584605.
Heilig, W. 1969 Dissertation, University of Karlsruhe.
Henderson, L. F. & Lozzi, A. 1975 J. Fluid Mech. 68, 139155.
Henderson, L. F. & Lozzi, A. 1979 J. Fluid Mech. 94, 541559.
Henderson, L. F. & Siegenthaler, A. 1980 Proc. R. Soc. Lond. A 369, 537555.
Hornung, H. G., Oertel, H. & Sandeman, R. J. 1979 J. Fluid Mech. 90, 541560.
Hornung, H. G. & Robinson, M. L. 1982 J. Fluid Mech. 123, 155164.
Kawamura, R. & Saito, H. 1956 J. Phys. Soc. Japan 11, 584592.
Mirels, H. 1956 NACA Tech. Note no. 3712.
Sandeman, R. J., Leitch, A. M. & Hornung, H. G. 1979 In Proc. 12th Int. Symp. on Shock Tubes and Waves, Jerusalem.
Schlichting, H. 1965 Grenzschichttheorie, xv. f. 1. Braun.
Skews, B. W. 1971 C.A.S.I. Trans. 4, 99107.
Smith, W. R. 1959 Phys. Fluids 2, 533541.
Sternberg, J. 1959 Phys. Fluids 2, 179206.
Takayama, K. & Sekiguchi, H. 1977 Rep. Inst. High Speed Mech. Tohoku Univ. 336, 5374.
Taylor, J. R. & Hornung, H. G. 1980 In Proc. 7th Austral. Fluid Mech. Conf., Brisbane.