Stationary Convention Due to Resistivity and Viscosity in a Cylindrycal Plasma with a Free Boundary
Large scale stationary convection due to viscosity and resistivity in a current-carrying cylindrical plasma with a free boundary is investigated. By using the magnetohydrodynamic (MHD) equations, it is shown that there are four states which are both marginal and stationary. These states are the plasma analog of stationary convection in ordinary hydrodynamics. Therefore, it is possible to define the critical Rayleigh number which characterizes the onset of steady convection. For Rayleigh numbers larger than the critical number, the whole nonlinear set of MHD equations possesses convective stationary solutions which bifurcate from the equilibrium solution.
KeywordsFree Boundary Rayleigh Number Equilibrium Solution Plasma Phys Convection Cell
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