Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-18T18:48:04.043Z Has data issue: false hasContentIssue false
  • English
  • Français

Non-equilibrium ideal-gas dissociation after a curved shock wave

Published online by Cambridge University Press:  29 March 2006

H. G. Hornung
H. G. Hornung
Affiliation:
Department of Physics, Australian National University, Canberra
Get access Rights & Permissions [Opens in a new window]

Abstract

Analytic solutions are obtained for non-equilibrium dissociating flow of an inviscid Lighthill-Freeman gas after a curved shock, by dividing the flow into a thin reacting layer near the shock and a frozen region further downstream. The method of matched asymptotic expansions is used, with the product of shock curvature and reaction length as the small parameter. In particular, the solution gives expressions for the reacting-layer thickness, the frozen dissociation level, effective shock values of the frozen flow and the maximum density on a stream-line as functions of free-stream, gas and shock parameters. Numerical examples are presented and the results are compared with experiments.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 74 , Issue 1 , 9 March 1976 , pp. 143 - 159
Copyright
© 1976 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. & BÖHME, G. 1969 In Nonequilibrium Flows. Part I (ed. P. P. Wegener), p. 71. Marcell Dekker.
Freeman, N. C. 1958 J. Fluid Mech. 4, 407.
Furler, S. 1973 M.Sc. thesis, Australian National University, Canberra.
Hayes, W. D. & Probstein, R. F. 1966 Hypersonic Flow Theory. Academic.
Hornung, H. G. 1972 J. Fluid Mech. 53, 149.
Kewley, D. & Hornung, H. G. 1974 Chem. Phys. Lett. 25, 531.
Lighthill, M. J. 1957 J. Fluid Mech. 2, 1.
Vincenti, W. G. & Kruger, C. H. 1965 Introduction to Physical Gasdynamics. Wiley.