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General three-dimensional equilibria for gravitating ideal magnetohydrodynamics of field-aligned steady incompressible flows with an application to solar prominences

Part of: Focus on Plasma Astrophysics

Published online by Cambridge University Press:  07 February 2020

S. M. Moawad Open the ORCID record for S. M. Moawad [Opens in a new window]
S. M. Moawad*
Affiliation:
Department of Mathematics and Computer Sciences, Faculty of Science, Beni-Suef University, Egypt Egyptian Korean Faculty of Technological Industry and Energy, Beni-Suef Technological University, Egypt
*
†Email address for correspondence: [email protected]
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Abstract

This paper investigates the motion of three-dimensional ideal magnetohydrodynamics with incompressible flows. The governing equation is performed at steady state, with the magnetic field parallel to the plasma flow. The equations of stationary equilibrium are derived and described mathematically in Cartesian space. Two approaches for derivation of general three-dimensional solutions for Alfvénic and non-Alfvénic flows at constant and variable fluid densities are constructed. The general vector and scalar potentials of the velocity field are used to derive general formulas of general three-dimensional solutions for Alfvénic and non-Alfvénic flows. To verify the general results we have obtained, some examples are presented. An application that may be of interest for coronal loops and solar prominences is presented.

Keywords

plasma flowsplasma applicationsastrophysical plasmas
Type
Research Article
Information
Journal of Plasma Physics , Volume 86 , Issue 1 , February 2020 , 905860107
Copyright
© Cambridge University Press 2020

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