Hostname: page-component-7dd5485656-pnlb5 Total loading time: 0.001 Render date: 2025-10-29T09:36:18.435Z Has data issue: false hasContentIssue false
  • English
  • Français

Quasi-one-dimensional model equations for plasma flows in high-pressure discharges in ablative capillaries

Published online by Cambridge University Press:  13 March 2009

D. Zoler  and
S. Cuperman
D. Zoler
Affiliation:
Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel
S. Cuperman
Affiliation:
Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel
Get access Rights & Permissions [Opens in a new window]

Abstract

Quasi-one dimensional hydrodynamic continuity, momentum and energy equations describing the plasma flow in high-pressure-discharge ablative capillaries are derived. To overcome the formidable difficulties arising in the solution of a fully two-dimensional system of equations, experimental information on the structure (geometry) of the generated plasma is used. Thus the two-dimensional hydrodynamic equations are averaged over the cross-section of the capillary to obtain a quasi-one-dimensional system of equations in which, however, the essential two-dimensional features are present. These include the radial outwards radiative transfer of energy and the radial inwards ablative mass flow. Some particular cases, including their thermodynamical aspects, are discussed. Illustrative analytical and numerical solutions of the equations are also presented.

Information

Type
Research Article
Information
Journal of Plasma Physics , Volume 48 , Issue 2 , October 1992 , pp. 215 - 227
Copyright
Copyright © Cambridge University Press 1992

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.)

Article purchase

Temporarily unavailable

References

Chapman, A. J. & Walker, W. F. 1971 Introductory Gas Dynamics. Holt, Rinehart and Winston.Google Scholar
Cuperman, S. & Zoler, D. 1991 Tel Aviv University Report TAUP-1869–91.Google Scholar
Grimson, J. 1971 Advanced Fluid Dynamics and Heat Transfer. McGraw-Hill.Google Scholar
Hermann, W., Kogelschatz, U., Ragaller, K. & Schade, E. 1974 J. Phys. D 7, 607.Google Scholar
Ibrahim, E. 1980 J. Phys. D 17, 1197.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1987 Fluid Mechanics, 2nd edn. Pergamon.Google Scholar
Loeb, A. & Kaplan, Z. 1989 IEEE Trans. Magnetics 25, 342.CrossRefGoogle Scholar
Niemayer, L. 1978 IEEE Trans. Power Appar. Syst. 97, 37, 950.Google Scholar
Ruchti, C. B. 1989 IEEE Trans. Plasma Sci. 16, 47.CrossRefGoogle Scholar
Ruchti, C. B. & Niemeyer, L. 1986 IEEE Trans. Plasma Sci. 14, 423.CrossRefGoogle Scholar
Saad, M. A. 1985 Compressible Fluid Flow. Prentice-Hall.Google Scholar
Zeldovich, Ya. B. & Raizer, Ya. P. 1966 Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena. Academic.Google Scholar