Absence of magnetohydrodynamic activity in the voltage-driven sheet pinch

• Main Authors: Seehafer, Norbert, Zienicke, Egbert, Feudel, Fred
• Format: Others
• Language: English
• Published: Universität Potsdam 1996
• Subjects: Physics
• Online Access: http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14328; http://opus.kobv.de/ubp/volltexte/2007/1432/

We have numerically studied the bifurcation properties of a sheet pinch with impenetrable stress-free boundaries. An incompressible, electrically conducting fluid with spatially and temporally uniform kinematic viscosity and magnetic diffusivity is confined between planes at x1=0 and 1. Periodic boundary conditions are assumed in the x2 and x3 directions and the magnetofluid is driven by an electric field in the x3 direction, prescribed on the boundary planes. There is a stationary basic state with the fluid at rest and a uniform current J=(0,0,J3). Surprisingly, this basic state proves to be stable and apparently to be the only time-asymptotic state, no matter how strong the applied electric field and irrespective of the other control parameters of the system, namely, the magnetic Prandtl number, the spatial periods L2 and L3 in the x2 and x3 directions, and the mean values B¯2 and B¯3 of the magnetic-field components in these directions.