Thermal convection instability of a two-component fluid layer in hydromagnetics

Astronomy and Astrophysics – Astrophysics

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Convective Heat Transfer, Free Convection, Magnetohydrodynamic Stability, Plasma Layers, Differential Equations, Integral Equations, Nonoscillatory Action, Thermal Instability, Variational Principles

Scientific paper

The thermal convection instability of a two-component fluid layer subjected to a temperature gradient in the presence of an applied magnetic field is investigated. Solutions are obtained for the nonoscillatory marginal states, and it is shown that the concentration gradient has a stabilizing or destabilizing effect depending on whether the temperature gradient is negative or positive. Approximate oscillatory solutions are obtained by a variational method, and the dispersion relation is solved numerically.

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