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

研究成果: 雜誌貢獻期刊論文同行評審

10 引文 斯高帕斯(Scopus)

摘要

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 (∂l∂y=0 but By ≠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.

原文???core.languages.en_GB???
頁(從 - 到)1113-1119
頁數7
期刊Physics of Plasmas
3
發行號3
DOIs
出版狀態已出版 - 3月 1996

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