Resistivity profile and instability of the plane sheet pinch

  • The stability of the quiescent ground state of an incompressible, viscous and electrically conducting fluid sheet, bounded by stress-free parallel planes and driven by an external electric field tangential to the boundaries, is studied numerically. The electrical conductivity varies as cosh–2(x1/a), where x1 is the cross-sheet coordinate and a is the half width of a current layer centered about the midplane of the sheet. For a <~ 0.4L, where L is the distance between the boundary planes, the ground state is unstable to disturbances whose wavelengths parallel to the sheet lie between lower and upper bounds depending on the value of a and on the Hartmann number. Asymmetry of the configuration with respect to the midplane of the sheet, modelled by the addition of an externally imposed constant magnetic field to a symmetric equilibrium field, acts as a stabilizing factor.

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Metadaten
Author details:Norbert SeehaferORCiD, Jörg Schumacher
URN:urn:nbn:de:kobv:517-opus-14686
Publication series (Volume number):NLD Preprints (44)
Publication type:Preprint
Language:English
Publication year:1998
Publishing institution:Universität Potsdam
Release date:2007/07/06
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Zentrale und wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum für Dynamik komplexer Systeme
DDC 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)
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