TY - JOUR

T1 - A Linear Model for the Tearing Mode of a Tokamak Plasma With Flow and a Resistive Wall Boundary Condition

AU - Jensen, Torkil H.

AU - Chu, Ming S.

PY - 1983/8

Y1 - 1983/8

N2 - The tearing mode of a tokamak plasma without flow may be stabilized by the presence of a conducting wall surrounding the plasma. When the wall has a finite resistivity, its presence does not affect stability, only growth rates. If, however the plasma has a flow relative to the resistive wall, both stability and growth rates may be affected. For the cylindrical, circular cross-section tokamak the problem is formulated as a complex eigenvalue problem, with a complex eigenvalue A', which in the limit of vanishing flow becomes identical to the usual ‘delta prime’. The real part of A’ describes as usual the power absorbed at the singular surface while the imaginary part describes absorption of momentum. It is found that for a plasma with shearless flow, a resistive wall has a stabilizing effect which even for relatively small flow velocities approaches that of a wall of infinite conductivity. Shear flow is found inherently destabilizing, but important only for very large flow velocities.

AB - The tearing mode of a tokamak plasma without flow may be stabilized by the presence of a conducting wall surrounding the plasma. When the wall has a finite resistivity, its presence does not affect stability, only growth rates. If, however the plasma has a flow relative to the resistive wall, both stability and growth rates may be affected. For the cylindrical, circular cross-section tokamak the problem is formulated as a complex eigenvalue problem, with a complex eigenvalue A', which in the limit of vanishing flow becomes identical to the usual ‘delta prime’. The real part of A’ describes as usual the power absorbed at the singular surface while the imaginary part describes absorption of momentum. It is found that for a plasma with shearless flow, a resistive wall has a stabilizing effect which even for relatively small flow velocities approaches that of a wall of infinite conductivity. Shear flow is found inherently destabilizing, but important only for very large flow velocities.

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U2 - 10.1017/S0022377800000994

DO - 10.1017/S0022377800000994

M3 - Article

AN - SCOPUS:0020806786

VL - 30

SP - 57

EP - 63

JO - Journal of Plasma Physics

JF - Journal of Plasma Physics

SN - 0022-3778

IS - 1

ER -