It can be shown that in the presence of a toroidal magnetic field induced by poloidal coils, combined with the electromagnetic field induced by a central solenoid, no static equilibrium is possible within the MHD description, as soon as non-zero resistivity is assumed. The resulting dynamic equilibrium was previously discussed for the case of spatially homogeneous resisitivity. In the present work, it is shown how a spatial inhomogeneity of the viscosity and resisitivity coefficients influences this equilibrium. Parameters in both the stable, tokamak-like regime and unstable, reversed field pinch-like regime are considered. It is shown that, whereas the magnitudes of the velocity and magnetic field fluctuations are strongly modified by the spatial variation of the transport coefficients, the qualitative flow behaviour remains largely unaffected.
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May 2015
Research Article|
May 21 2015
Dynamic equilibria and magnetohydrodynamic instabilities in toroidal plasmas with non-uniform transport coefficients Available to Purchase
Shimpei Futatani;
Shimpei Futatani
1LMFA-CNRS UMR 5509, Ecole Centrale de Lyon,
Université de Lyon
, 69134 Ecully, France
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Jorge A. Morales;
Jorge A. Morales
2
CEA Cadarache
, St. Paul Lez Durance, France
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Wouter J. T. Bos
Wouter J. T. Bos
1LMFA-CNRS UMR 5509, Ecole Centrale de Lyon,
Université de Lyon
, 69134 Ecully, France
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Shimpei Futatani
1
Jorge A. Morales
2
Wouter J. T. Bos
1
1LMFA-CNRS UMR 5509, Ecole Centrale de Lyon,
Université de Lyon
, 69134 Ecully, France
2
CEA Cadarache
, St. Paul Lez Durance, France
Phys. Plasmas 22, 052503 (2015)
Article history
Received:
February 13 2015
Accepted:
April 27 2015
Citation
Shimpei Futatani, Jorge A. Morales, Wouter J. T. Bos; Dynamic equilibria and magnetohydrodynamic instabilities in toroidal plasmas with non-uniform transport coefficients. Phys. Plasmas 1 May 2015; 22 (5): 052503. https://doi.org/10.1063/1.4919960
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