Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-28T20:41:00.539Z Has data issue: false hasContentIssue false

One-dimensional flow in an ionizing gas

Published online by Cambridge University Press:  28 March 2006

D. S. Butler
Affiliation:
Department of Mathematics, University of Strathelyde, Glasgow

Abstract

In order to gain insight into the macroscopic behaviour of gas interacting with electric and magnetic fields, while its degree of ionization is changing, the one-dimensional unsteady flow of gas with temperature-dependent conductivity is investigated. A simple continuum model is used for the gas. It is assumed to be compressible and to obey polytropic gas laws and its conductivity is supposed to change discontinuously at a critical temperature. Particular attention is devoted to the various types of transition boundaries which can occur as the conductivity changes, and it is shown that complete flow patterns can be constructed with these as elements. A wide variety of transitions are possible and some of these have remarkable properties. For example, it is shown that discontinuous deionising fronts can exist and are expansive in nature. This contrasts sharply with the situation in conventional gas dynamics and magneto-gasdynamics where only compressive discontinuities can exist.

Type
Research Article
Copyright
© 1965 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

Butler, D. S. 1963 Unpublished War Office report.
Germain, P. 1960 Rev. Mod. Phys. 32, 9518.
Goldsworthy, F. A. 1958 Rev. Mod. Phys. 30, 10628.
Kontorovich, V. M. 1958 J. Exp. Th. Phys. 8, 8518.
Kulikovsky, A. G. & Lyubimov, G. A. 1959 Dokl. Akad. Nauk. 1, 525.
Marshall, W. 1955 Proc. Roy. Soc. A, 233, 31096.
Soubbaramayer, 1962 C. R. Acad. Sci., Paris, 254, 21357.