Laminar convection in binary mixture of hydromagnetic flow with radiative heat transfer. I, II

Astronomy and Astrophysics – Astrophysics

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Binary Mixtures, Convective Flow, Laminar Mixing, Magnetohydrodynamic Flow, Radiative Heat Transfer, Heat Flux, Incompressible Fluids, Soret Coefficient

Scientific paper

The hydromagnetic flow of a thermally radiating binary mixture of an incompressible fluid is studied. Both the Soret and Dufour effects are considered when the fluid is not chemically reacting. When the gas is optically thin the resultant system of ordinary differential equations could be solved in a closed form. Generally, the problem is reduced to a set of integral equations which are tackled by perturbation and iteration. The hydromagnetic flow in a vertical channel with heat and mass transfer is studied when a chemical reaction is present. For the general integral equation for radiative flux and in the absence of the Dufour term, the problem is reduced to a set of coupled integral equations which are solved iteratively. The results are compared with the solutions obtained when a chemical reaction is absent.

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