Exact equilibria for nonlinear cylindrical ideal magnetohydrodynamic plasma with steady incompressible flow and arbitrary cross sectional shape

Journal Article · Tue Dec 15 00:00:00 EST 2009 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3270522· OSTI ID:21371248

Khater, A H; Moawad, S M ^[1]

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1. Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef 62511 (Egypt)

Translational symmetric ideal magnetohydrodynamic plasma with steady incompressible flow is considered. The domain then is of cylindrical shape with arbitrary cross section. Several exact solution classes for nonlinear cases are obtained. The obtained solutions are bounded at infinity, in which they are physically acceptable and have applications in astrophysics as well as solar magnetic fields. Some of the solutions are examined to describe low and high beta-plasma equilibria in terms of elementary functions. They can be employed to describe plasma in the solar corona, the photosphere, and the upper corona.

• OSTI ID: 21371248
• Journal Information: Physics of Plasmas, Vol. 16, Issue 12; Other Information: DOI: 10.1063/1.3270522; (c) 2009 American Institute of Physics; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ASTROPHYSICS
EQUILIBRIUM
EXACT SOLUTIONS
INCOMPRESSIBLE FLOW
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
NONLINEAR PROBLEMS
PHOTOSPHERE
PLASMA
SOLAR CORONA
ATMOSPHERES
FLUID FLOW
FLUID MECHANICS
HYDRODYNAMICS
MATHEMATICAL SOLUTIONS
MECHANICS
PHYSICS
SOLAR ATMOSPHERE
STELLAR ATMOSPHERES
STELLAR CORONAE