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The linear instabilities of an incompressible, uniform density magnetofluid are considered in the periodic straight cylinder approximation. Spatially dependent resistivity and viscosity profiles are regarded as fixed, but their magnitudes and the magnitudes of the currents driven in the plasma are not. It is shown that the stability boundary is determined by only two dimensionless numbers: the Hartmann number and the axisymmetric, zero-flow pinch ratio, which is inversely proportional to the safety factor at the wall. The result is analogous to the well known result from the theory of hydrodynamic shear flows that the Reynolds number governs the onset of hydrodynamic activity.

Additional information

Authors: MONTGOMERY D, JET Joint Undertaking, Abingdon, Oxon. (GB)
Bibliographic Reference: Report: JET-P(91)64 EN (1991) 8 pp.
Availability: Available from the Publications Officer, JET Joint Undertaking, Abingdon, Oxon. OX14 3EA (GB)
Record Number: 199210518 / Last updated on: 1994-12-02
Original language: en
Available languages: en