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The Effects of Viscosity and Radiation Absorption on Double-Diffusive Convection in a Porous Medium

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Nigerian Association of Mathematical Physics
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Abstract

This study is devoted to the problem of the effect of radiation absorption onthe onset of thermosolutal convection in a horizontal fluid layer taking intoconsideration viscous effects when the fluid is heated from below in a horizontal porous layer. The radiative heat transfer is heated using thedifferential approximation for optically thin case in the energy equation. Thelinear stability analysis is used to show how radiation absorption affects thecondition leading to onset of instability even in the present of viscosity. In themomentum equation for free-free boundaries it was seen that a positiveincrement in the radiation absorption parameter delayed the onset of instability.

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