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Title:
Theory of axisymmetric magnetohydrodynamic flows - Disks
Authors:
Lovelace, R. V. E.; Mehanian, C.; Mobarry, C. M.; Sulkanen, M. E.
Affiliation:
AA(Cornell University, Ithaca, NY), AB(Cornell University, Ithaca, NY), AC(Cornell University, Ithaca, NY), AD(Cornell University, Ithaca, NY)
Publication:
Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 62, Sept. 1986, p. 1-37. (ApJS Homepage)
Publication Date:
09/1986
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
Accretion Disks, Axisymmetric Flow, Magnetohydrodynamic Flow, Relativistic Plasmas, Stellar Physics, Black Holes (Astronomy), Magnetic Stars, Partial Differential Equations, Schwarzschild Metric, Wave Equations
DOI:
10.1086/191132
Bibliographic Code:
1986ApJS...62....1L

Abstract

A general theory is developed for relativistic, steady, axisymmetric, ideal magnetohydrodynamic flows around a black hole or a rotating magnetized star. The theory leads to an autonomous second-order partial differential equation - a Grad-Shafranov equation - for the magnetic flux function ψ(r,z). One limit of this equation gives the familiar Grad-Shafranov equation which describes the equilibrium of axisymmetric fusion plasmas. Another limit gives the equation describing general nonmagnetic flows of matter with angular momentum. A further limit gives the "pulsar equation" of Scharlemann, Wagoner, and Michel for relativistic plasma flows around an aligned, rotating, magnetized neutron star. Applications of the theory are made to thin, magnetized disks around a Schwarzschild black hole and around an aligned, rotating, magnetized star.

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