Exact solutions for axisymmetric nonlinear magnetohydrodynamic equilibria of aligned magnetic field and plasma flow with applications to astrophysics and plasma confinement devices

Journal Article · Fri May 15 00:00:00 EDT 2009 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3127502· OSTI ID:21277087

Khater, A H; Moawad, S M ^[1]

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1. Department of Mathematics, Faculty of Science, Beni-Suef University (Egypt)

The steady state equations of magnetohydrodynamic (MHD) flows for an inviscid fluid of high electrical conductivity are considered for an axisymmetric case, in which the physical quantities are independent of the coordinate {phi} of a cylindrical coordinate system (r,{phi},z). The magnetic field is taken to be aligned to the plasma velocity, i.e., the magnetic lines of force and the streamlines of the velocity field coincide. Two classes of exact solutions are obtained. The obtained solutions are smooth everywhere and satisfy all necessary physical conditions, in which they have applications in astrophysics as well as plasma confinement devices, e.g., tokamak and reversed field pinch.

• OSTI ID: 21277087
• Journal Information: Physics of Plasmas, Vol. 16, Issue 5; Other Information: DOI: 10.1063/1.3127502; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ASTROPHYSICS
AXIAL SYMMETRY
ELECTRIC CONDUCTIVITY
EXACT SOLUTIONS
MAGNETIC FIELDS
MHD EQUILIBRIUM
NONLINEAR PROBLEMS
PLASMA CONFINEMENT
REVERSED-FIELD PINCH DEVICES
STEADY-STATE CONDITIONS
TOKAMAK DEVICES