Abstract
Internal heating on the onset of Darcy-Brinkman convection in a binary viscoelastic fluid-saturated sparsely packed porous layer with Soret effect is studied using linear stability analyses. The Oldroyd-B model is employed to describe the rheological behavior of binary fluid. An extended form of the DarcyOldroyd law incorporating Brinkman’s correction and time derivative is used to describe the flow through a porous layer and the Oberbeck-Boussinesq approximation is invoked. The onset criterion for stationary and oscillatory is derived analytically. The effect of internal Rayleigh number, Soret parameter, relaxation and retardation parameters, solute Rayleigh number, Darcy number, Darcy-Prandtl number, normalized porosity, and Lewis number on the stability of a system is investigated and is shown graphically.
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