Hostname: page-component-8448b6f56d-gtxcr Total loading time: 0 Render date: 2024-04-16T22:18:00.635Z Has data issue: false hasContentIssue false

Shock-wave structure in a fully ionized gas

Published online by Cambridge University Press:  13 March 2009

C. S. Lu
Affiliation:
Westinghouse Electric Corporation Power Systems, Philadelphia
A. B. Huang
Affiliation:
School of Aerospace Engineering, Georgia Institute of Technology, Atlanta

Abstract

The structure of a steady plane shock in a fully ionized gas has been investigated using the Boltzmann equation with the Gross–Krook type model as the governing equation and the discrete-ordinate method as a tool. The present results agree well with the results obtained by the continuum approach for weak shocks. For strong shocks the present approach gives results that are considerably different from those yielded by the continuum approach, particularly in the high pressure region. Also, the present method gives smooth and continuous shock profiles for high Mach numbers. On the other hand, the results from the continuum approach contain discontinuities in slope. The ion and electron distribution functions across the shock are found to be singly peaked for all cases considered and the effects of the induced electric field is small.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1973

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

REFERENCES

Bhatnagar, P. L., Gross, E. P. & Krook, M. 1954 Phys. Rev. 94, 511.Google Scholar
Giddens, D. P., Huang, A. B. & Young, V. Y. C. 1971 Phys. Fluids, 14, 2645.Google Scholar
Greenberg, O. W., Shen, H. K. & Tréve, Y. M. 1960 Phys. Fluids, 3, 379.Google Scholar
Greenberg, O. W. & Tréve;, Y. M. 1960 Phys. Fluids, 3, 769.CrossRefGoogle Scholar
Gross, E. P. & Krook, M. 1956 Phys. Rev. 102, 593.CrossRefGoogle Scholar
Hamel, B. B. 1965 Phys. Fluids, 8, 418.CrossRefGoogle Scholar
Huang, A. B. 1967 Georgia Institute of Technology, School of Aerospace Engineering, Rarefied Gasdynamics Rep. 4.Google Scholar
Jaffrin, M. Y. & Probstein, R. F. 1964 Phys. Fluids, 7, 1658.Google Scholar
Jukes, J. D. 1957 J. Fluid Mech. 3, 275.Google Scholar
Lu, C. S. 1971 Ph.D. Thesis, Georgia Institute of Technology.Google Scholar
Morse, T. F. 1964 Phys. Fluids, 7, 2012.CrossRefGoogle Scholar
Rose, D. J. & Clark, M. Jr 1961 Plasma and Controlled Fusion. MIT Press.Google Scholar
Sutton, G. W. & Sherman, S. 1965 Engineering Magnetohydrodynamics. McGraw-Hill.Google Scholar
Tidman, D. A. 1958 Phys. Rev. 111, 1439.Google Scholar