Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-26T06:11:17.100Z Has data issue: false hasContentIssue false
  • English
  • Français

The structure of shock-waves in gas mixtures

Published online by Cambridge University Press:  28 March 2006

Edward Goldman  and
Lawrence Sirovich
Edward Goldman
Affiliation:
Department of Mechanical and Aerospace Sciences, University of Rochester
Lawrence Sirovich
Affiliation:
Department of Mechanical and Aerospace Sciences, University of Rochester Division of Applied Mathematics and The Center for Fluid Mechanics, Brown University
Get access Rights & Permissions [Opens in a new window]

Abstract

The structure of shock-waves in gas mixtures is studied. The separation of component velocities and temperatures is described. Velocity overshoot is never found to exist. Other effects, namely, temperature overshoot and undershoot and velocity undershoot are shown to exist in a manner which is self-consistent with the derivation of the governing equations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 35 , Issue 3 , 20 February 1969 , pp. 575 - 597
Copyright
© 1969 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, R. 1922 Stosswelle und Detonation Zeit. phys. 8, 321.Google Scholar
Center, R. E. 1967 Measurement of shock-wave structure in helium-argon mixtures. Phys. Fluids 10, 1777.Google Scholar
Chapman, S. & Cowling, T. G. 1939 The Mathematical Theory of Non-Uniform Gases. Cambridge University Press.
Cowling, T. G. 1942 The influence of diffusion on the propagation of shock-waves Phil. Mag. 33, 61.Google Scholar
Dyakov, S. P. 1954 Shock-waves in binary mixtures Shur. Eksp. Theo. Fiz. 27, 728.Google Scholar
Goldman, E. & Sirovich, L. 1967 Equations of gas mixtures Phys. Fluids, 10, 1928.Google Scholar
Goldman, E. & Sirovich, L. 1969 Equations of gas mixtures II. Phys. Fluids (to appear).Google Scholar
Grad, H. 1952 The profile of a steady plane shock-wave Comm. Pure Appl. Math. 5, 257.Google Scholar
Hayes, W. 1958 Gasdynamic Discontinuities. Princeton University Press.
Kohler, M. 1949 Schallabsorption in Binaren Gasmischungen Zeit. Phys. 127, 40.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics. London: Pergamon.
Mott-Smith, H. M. 1951 The solution of the Boltzmann equation for a shock-wave Phys. Rev. 82, 885.Google Scholar
Mott-Smith, H. M. 1966 Comments on ‘Kinetic theory approach to the problem of a shock-wave structure in a binary mixture’. Phys. Fluids, 9, 1263 (C).Google Scholar
Oberai, M. M. 1965 Kinetic-theory approach to the problem of shock-wave structure in a binary mixture Phys. Fluids, 8, 826.Google Scholar
Oberai, M. M. 1966 A Mott-Smith distribution to describe the structure of a plane shock-wave in a binary mixture Phys. Fluids, 9, 1634.Google Scholar
Rothe, D. E. 1966 Electron beam studies of the diffusive separation of helium-argon mixtures Phys. Fluids, 9, 1643.Google Scholar
Sherman, R. S. 1960 Shock-wave structure in binary mixtures of chemically inert perfect mixtures J. Fluid Mech. 8, 465.Google Scholar