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Self-similar solutions for imploding z-pinch shells in magnetized plasmas

Published online by Cambridge University Press:  01 June 2009

Y. M. SHTEMLER  and
M. MOND
Y. M. SHTEMLER
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, PO Box 653, Beer-Sheva 84105, Israel (shtemler@bgu.ac.il, mond@bgu.ac.il, mondmichael@gmail.com)
M. MOND
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, PO Box 653, Beer-Sheva 84105, Israel (shtemler@bgu.ac.il, mond@bgu.ac.il, mondmichael@gmail.com)
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Abstract

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Imploding z-pinch shells with total currents that are proportional to some power of time are investigated. Time-space separable self-similar solutions with cylindrical symmetry are explicitly obtained. The problem is treated asymptotically in high thermal conductivity within the model of magnetized resistive plasmas, while the ionization and radiation processes are ignored.

Information

Type
Papers
Information
Journal of Plasma Physics , Volume 75 , Issue 3 , June 2009 , pp. 373 - 387
Copyright
Copyright © Cambridge University Press 2009

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