The model of double-diffusive convection in a porous medium layer was analyzed using the Brinkman model and concentration based on an internal heat source. Linear instability analysis of the model was performed. Particularly, we analyzed the effect of slip boundary conditions on the instability of the system. We analyzed when the instability started and computed the critical Rayleigh number as a function of the slip coefficient. K E Y W O R D S Brinkman model, double-diffusive, slip boundary conditions, linear instability, Rayleigh number, slip boundary conditions
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