The effect of viscosity on the resistive tearing mode with the presence of shear flow
Abstract
The effect of small isotropic viscosity on the constant psi tearing mode in the presence of shear flow, is analyzed by the boundary layer approach. It is found that the influence of viscosity depends upon the parameter (G'(0)/F'(0)), where G'(0) and F'(0) denote that shear and magnetic field shear at the magnetic null plane, respectively. When the absolute value of G'(0)/F'(0) is much less than 1, the tearing mode growth rate is suppressed by the viscosity, but not completely stabilized. When the absolute value of G'(0)/F'(0) is approximately in the order of O(1) and the viscosity is comparable with the resistivity, the growth rate vanishes as (1  G'(0) squared/F'(0) squared) (sup 1/3), when G'(0) squared yields F'(0) squared from below. In the case where 1  G'(0) squared/F'(0) squared is less than 0 matching cannot be achieved.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 January 1990
 Bibcode:
 1990STIN...9021312C
 Keywords:

 Fluid Flow;
 Magnetohydrodynamic Stability;
 Shear Flow;
 Tearing Modes (Plasmas);
 Viscosity;
 Boundary Layers;
 Magnetic Fields;
 Shear Properties;
 Fluid Mechanics and Heat Transfer