Stability Analysis of Double Diffusive Convection in Local Thermal Non-equilibrium Porous Medium with Internal Heat Source and Reaction Effects

Abstract The internal heat source and reaction effects on the onset of thermosolutal convection in a local thermal non-equilibrium porous medium are examined, where temperature fluid solid skeleton may differ. linear instability nonlinear stability theories Darcy–Brinkman type with fixed boundary condition carried out layer is heated salted from below. D 2 {D^{2}} Chebyshev tau technique used to calculate associated system equations subject conditions for both theories. Three different types function considered, first increases across layer, while second decreases, third heats cools nonuniform way. effect parameters Rayleigh number depicted graphically. Moreover, results detect that utilizing source, reaction, have pronounced determining thresholds.