Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-29T14:47:54.117Z Has data issue: false hasContentIssue false
  • English
  • Français

Shock-wave struture in a partially ionized gas

Published online by Cambridge University Press:  28 March 2006

M. S. Grewal  and
L. Talbot
M. S. Grewal
Affiliation:
Division of Aeronautical Sciences, University of California, Berkeley Now at Aerospace Corporation, El Segundo, California.
L. Talbot
Affiliation:
Division of Aeronautical Sciences, University of California, Berkeley
Get access Rights & Permissions [Opens in a new window]

Abstract

The structure of a shock wave in a partially ionized gas, which may be in thermal non-equilibrium ahead of the shock wave, is investigated. A method is developed to solve this problem by separating it into two parts. First, the structure of the shock wave associated with the massive particles, ions and atoms, is assumed to be of the Mott-Smith form. Then the behaviour of the electrons as they pass though this shock is analysed. Using this method, calculations are carried out for shock waves at several Mach numbers and several values of the electron-ion temperature ratio ahead of the shock. An essential feature of the shock profiles is found to be the existence of a broad zone of elevated electron temperature ahead of the electron compression region, caused by the high thermal conductivity in the electron gas.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 16 , Issue 4 , August 1963 , pp. 573 - 594
Copyright
© 1963 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

Byron, S., Stabler, R. C. & Bortz, P. I. 1962 Phys. Rev. Letters, 8, 376.
Friedman, B. 1957 Principles and Techniques of Applied Mathematics, Ch. 3. New York: J. Wiley and Sons.
Greenberg, O. W., Sen, H. K. & Treve, Y. M. 1960 Phys. Fluids, 3, 379.
Hinnov, E. & Hirschberg, J. G. 1962 Phys. Rev. 125, 795.
Jukes, J. O. 1957 J. Fluid Mech. 3, 275.
Kaufman, A. N. 1960 The Theory of Neutral and Ionized Gases (ed. C. De Witt & J. F. Detouf). New York: J. Wiley and Sons.
Mott-Smith, H. M. 1951 Phys. Rev. 82, 885.
Muckenfuss, C. 1960 Phys. Fluids, 3, 320.
Post, R. 1956 Rev. Mod. Phys. 28, 338.
Sherman, F. S. & Talbot, L. 1961 Hypersonic Flow Research (ed. F. R. Riddell). New York: Academic Press.
Spitzer, L. 1956 Physics of Fully Ionized Gases, Ch. 5. New York: Interscience.
Spitzer, L. & Härm, R. 1953 Phys. Rev. 89, 977.
Talbot, L. 1962 J. Amer. Rocket Soc. 32, 1009.
Tidman, D. A. 1958 Phys. Rev. 111, 1439.
Tricomi, F. 1957 Integral Equations, Ch. 1. New York: Interscience.