Energy balance of the collisional tearing mode

Journal Article · Wed Aug 01 00:00:00 EDT 1984 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.864858· OSTI ID:6853935

Bondeson, A; Sobel, J R

The energy balance of the collisional tearing mode is examined within linear theory. It is found that in an asymmetric case the quadratic form given by Furth for the net release of magnetic energy must be completed with a term connected with the current gradient in the resistive layer. The growth-rate and the inner-layer solution are calculated in the limit where viscosity dominates over inertia. The amounts of energy going into Joule heating and either kinetic energy or viscous dissipation are calculated analytically. In the inertial regime 1/4 of the net decrease in magnetic energy goes into kinetic energy and (3)/(4) into Joule heating, while, in viscous regime, (1)/(6) goes into viscous dissipation and (5)/(6) into Joule heating. The analytical results, based on the constant-psi approximation, are in good agreement with numerical simulations when the resistive layer is sufficiently narrow.

• Research Organization: Institute for Electromagnetic Field Theory and EURATOM-Fusion Research, Chalmers University of Technology, S-412 96 Goeteborg, Sweden
• OSTI ID: 6853935
• Journal Information: Phys. Fluids; (United States), Vol. 27:8
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COLLISIONAL PLASMA
ENERGY BALANCE
TEARING INSTABILITY
INSTABILITY GROWTH RATES
TOKAMAK DEVICES
PLASMA MACROINSTABILITIES
ANALYTICAL SOLUTION
CORRELATIONS
ENERGY LOSSES
JOULE HEATING
KINETIC ENERGY
LAYERS
MOMENT OF INERTIA
VISCOSITY
CLOSED PLASMA DEVICES
ELECTRIC HEATING
ENERGY
HEATING
INSTABILITY
LOSSES
PLASMA
PLASMA HEATING
PLASMA INSTABILITY
RESISTANCE HEATING
THERMONUCLEAR DEVICES
700107* - Fusion Energy- Plasma Research- Instabilities
700101 - Fusion Energy- Plasma Research- Confinement
Heating
& Production