The effect of viscosity on the resistive tearing mode with the presence of shear flow

Technical Report · Mon Jan 01 04:00:00 EST 1990

DOI:https://doi.org/10.2172/7055381· OSTI ID:7055381

Chen, X L; Morrison, P J ^[1]

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1. Texas Univ., Austin, TX (USA)

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{prime}(0)/F{prime}(0)), where G{prime}(0) and F{prime}(0) denote that shear and magnetic field shear at the magnetic null plane, respectively. When {vert bar}(G{prime}(0)/F{prime}(0)){vert bar} {much lt} 1, the tearing mode growth rate is suppressed by the viscosity, but not completely stabilized. When {vert bar}(G{prime}(0)/F{prime}(0)){vert bar} {approximately} in the order of (1) and the viscosity is comparable with the resistivity, the growth rate vanishes as ((1 {minus} G{prime}(0){sup 2}/F{prime}(0){sup 2}){sup 1/3}), when G{prime}(0){sup 2} {yields} F{prime}(0){sup 2} from below. In the case where (1 {minus} G{prime}(0){sup 2}/F{prime}(0){sup 2}) < 0 matching cannot be achieved. 8 refs.

• Research Organization: Texas Univ., Austin, TX (USA). Inst. for Fusion Studies
• Sponsoring Organization: DOE/ER
• DOE Contract Number: FG05-80ET53088
• OSTI ID: 7055381
• Report Number(s): DOE/ET/53088-414; IFSR--414; ON: DE90009340
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
BOUNDARY LAYERS
FLUID FLOW
FLUID MECHANICS
HYDRODYNAMICS
INSTABILITY
LAYERS
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MECHANICAL PROPERTIES
MECHANICS
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
SHEAR PROPERTIES
TEARING INSTABILITY
VISCOSITY