General formulation and exact solution for two-dimensional field-aligned magnetohydrodynamic equilibrium flows

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Title:	General formulation and exact solution for two-dimensional field-aligned magnetohydrodynamic equilibrium flows
Authors:	Hau,LN
Contributors:	太空科學研究所
Keywords:	PLASMA SHEET
Date:	1996
Issue Date:	2010-06-29 18:39:35 (UTC+8)
Publisher:	中央大學
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's equation is derived. The study is then focused on the two-dimensional (partial derivative/partial derivative y=0 but B-y not equal 0) problems, for which a generalized Grad-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. (C) 1996 American Institute of Physics.
Relation:	PHYSICS OF PLASMAS
Appears in Collections:	[Graduate Institute of Space Science] journal & Dissertation

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