Squire{close_quote}s theorem for the magnetohydrodynamic sheet pinch

Journal Article · Mon Dec 01 04:00:00 EST 1997 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.872612· OSTI ID:553026

Seehafer, N ^[1]; Schumacher, J ^[2]

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1. Institut fuer Physik, Universitaet Potsdam, PF 601553, D-14415 Potsdam (Germany)
2. Astrophysikalisches Institut Potsdam, An der Sternwarte 16, D-14482 Potsdam (Germany)

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 Alfv{acute e}n velocity) are raised from small values, two-dimensional perturbations become unstable first. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 553026
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 12 Vol. 4; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ALFVEN WAVES
BOUNDARY LAYERS
ELECTRIC CONDUCTIVITY
MAGNETOHYDRODYNAMICS
MHD EQUILIBRIUM
PINCH EFFECT
PLASMA SHEET
TWO-DIMENSIONAL CALCULATIONS