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Subject Keyword PLASMA PHYSICS AND FUSION ♦ MHD EQUILIBRIUM ♦ GRAD-SHAFRANOV EQUATION ♦ EARTH MAGNETOSPHERE ♦ MAGNETIC CONFINEMENT ♦ MAGNETOPAUSE ♦ MAGNETOTAIL ♦ PLASMA SHEET
Abstract A general formulation is presented for steady field-aligned magnetohydrodynamic (MHD) equilibrium flows with isotropic or gyrotropic pressures. Closure to the anisotropic MHD model is provided by a pair of double-polytropic energy equations, for which double-adiabatic and double-isothermal conditions are special limits of the model. For the latter case, a MHD counterpart of Bernoulli{close_quote}s equation is derived. The study is then focused on the two-dimensional ({partial_derivative}/{partial_derivative}{ital y}=0 but {ital B}{sub {ital y}}{ne}0) problems, for which a generalized Grad{endash}Shafranov equation is developed for field-aligned MHD flow equilibria with isotropic or gyrotropic pressures. The formulation is put in a form that allows self-consistent solutions to be constructed numerically in a way similar to the static case; examples of such MHD equilibria are shown. An asymptotic formulation is also developed for stretched gyrotropic plasma configurations, which, however, is not applicable to two-dimensional planar configurations with regions of weak magnetic field strength, such as the geomagnetic tail. {copyright} {ital 1996 American Institute of Physics.}
ISSN 1070664X
Educational Use Research
Learning Resource Type Article
Publisher Date 1996-03-01
Publisher Place United States
Journal Physics of Plasmas
Volume Number 3
Issue Number 3


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