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Some axisymmetric equilibria for certain ideal and resistive magnetohydrodynamics with incompressible flows

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Abstract In this paper, the equilibrium properties of some ideal and resistive magnetohydrodynamics (MHD) are investigated. The governing equations are taken in the steady state for parallel and non-parallel flow… Click to show full abstract

Abstract In this paper, the equilibrium properties of some ideal and resistive magnetohydrodynamics (MHD) are investigated. The governing equations are taken in the steady state for parallel and non-parallel flow to magnetic filed. The governing equations are reduced to Bernoulli-Grad-Shafranov system. The problem of finding exact equilibria to the governing equations in the presence of incompressible mass flows is studied. Several nonlinear equilibria of the governing equations are obtained with aid of constructed constraints. The obtained results cover several previously configurations and include new considerations about the nonlinearity of magnetic flux stream variables. The possibility of applying the obtained results to magnetic confinement devices are discussed.

Keywords: resistive magnetohydrodynamics; ideal resistive; equilibria certain; axisymmetric equilibria; magnetohydrodynamics; governing equations

Journal Title: Results in physics
Year Published: 2017

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