## 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 (∂l∂y=0 but B_{y} ≠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.

Original language | English |
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Pages (from-to) | 1113-1119 |

Number of pages | 7 |

Journal | Physics of Plasmas |

Volume | 3 |

Issue number | 3 |

DOIs | |

State | Published - Mar 1996 |