Squire‘s theorem for the magnetohydrodynamic sheet pinch

  • The stability of the quiescent ground state of an incompressible viscous fluid sheet bounded by two parallel planes, with an electrical conductivity varying across the sheet, and driven by an external electric field tangential to the boundaries is considered. It is demonstrated that irrespective of the conductivity profile, as magnetic and kinetic Reynolds numbers (based on the Alfvén velocity) are raised from small values, two-dimensional perturbations become unstable first.

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Author:Norbert Seehafer, Jörg Schumacher
Series (Serial Number):NLD Preprints (paper 040)
Document Type:Preprint
Date of Publication (online):2007/07/04
Year of Completion:1997
Publishing Institution:Universität Potsdam
Release Date:2007/07/04
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum Dynamik komplexer Systeme
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
PACS Classification:50.00.00 PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES / 52.00.00 Physics of plasmas and electric discharges (for space plasma physics, see 94.05.-a; for astrophysical plasmas, see 95.30.Qd; for physics of the ionosphere and magnetosphere, see 94.20.-y and 94.30.-d respectively) / 52.30.-q Plasma dynamics and flow
90.00.00 GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS (for more detailed headings, see the Geophysics Appendix) / 95.00.00 Fundamental astronomy and astrophysics; instrumentation, techniques, and astronomical observations / 95.30.-k Fundamental aspects of astrophysics (see also section 26 Nuclear astrophysics) / 95.30.Qd Magnetohydrodynamics and plasmas (see also 52.30.Cv and 52.72.+v-in physics of plasmas)