Axisymmetric ideal magnetohydrodynamic equilibria with incompressible flows
In this paper it is shown that the ideal magnetohydrodynamic (MHD) equilibrium states of an axisymmetric plasma with incompressible flows are governed by an elliptic partial differential equation for the poloidal magnetic flux function psi containing five surface quantities along with a relation for the pressure. Exact equilibria are constructed including those with non-vanishing poloidal and toroidal flows and differentially varying radial electric fields. Unlike the case in cylindrical incompressible equilibria with isothermal magnetic surfaces which should have necessarily circular cross sections, no restriction appears on the shapes of the magnetic surfaces in the corresponding axisymmetric equilibria. The latter equilibria satisfy a set of six ordinary differential equations which for flows parallel to the magnetic field B can be solved semianalytically.
Bibliographic Reference: Report: IPP 5/76 EN (1997) 12pp.
Availability: Available from the Max-Planck-Institut für Plasmaphysik, 85748 Garching bei München (DE)
Record Number: 199810296 / Last updated on: 1998-03-09
Original language: en
Available languages: en