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

Journal Article · Thu Nov 01 00:00:00 EST 1990 · Physics of Fluids B; (USA)

DOI:https://doi.org/10.1063/1.859382· OSTI ID:6055687

Chen, X L; Morrison, P J ^[1]

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1. Department of Physics, The University of Texas at Austin, Austin, TX (USA) Institute for Fusion Studies, The University of Texas at Austin, Austin, TX (USA)

The effect of small viscosity on the constant {psi}'' tearing mode in the presence of shear flow is analyzed using the boundary-layer approach. It is found that the influence of viscosity depends upon the parameter {ital G}{prime}(0)/{ital F}{prime}(0), where {ital G}{prime}(0) and {ital F}{prime}(0) denote the flow shear and magnetic field shear at the magnetic null plane, respectively. When {vert bar}{ital G}{prime}(0)/{ital 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}{ital G}{prime}(0)/{ital F}{prime}(0){vert bar}{similar to}O(1) and the viscosity is comparable to the resistivity, the growth rate vanishes as (1{minus}{ital G}{prime}(0){sup 2}/{ital F}{prime}(0){sup 2}){sup 1/3}, when {ital G}{prime}(0){sup 2}{r arrow}{ital F}{prime}(0){sup 2} from below. In the case where 1{minus}({ital G}{prime}(0){sup 2}/{ital F}{prime}(0){sup 2}){lt}0 matching cannot be achieved and the tearing mode vanishes.

• DOE Contract Number: FG05-80ET53088
• OSTI ID: 6055687
• Journal Information: Physics of Fluids B; (USA), Vol. 2:11; ISSN 0899-8221
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
PLASMA
VISCOSITY
TOKAMAK DEVICES
TEARING INSTABILITY
BOUNDARY LAYERS
ENERGY LOSSES
INCOMPRESSIBLE FLOW
INSTABILITY GROWTH RATES
MAGNETIC FIELDS
PLASMA DRIFT
SHEAR
SINGULARITY
CLOSED PLASMA DEVICES
FLUID FLOW
INSTABILITY
LAYERS
LOSSES
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
THERMONUCLEAR DEVICES
700107* - Fusion Energy- Plasma Research- Instabilities