Onset of convection of a reacting fluid layer in a porous medium with temperature-dependent heat source

Abstract

This paper investigates the problem of double-diffusive convection in a horizontal layer filled with a reacting fluid with temperature-dependent internal heat source within the Darcy limit. The linear stability theory is applied for the onset of both stationary (monotonic) and oscillatory convection. The critical Rayleigh numbers for the onset of convection are determined in terms of the governing parameters. The results show that positive increments in the internal heat source parameter hasten the onset on both stationary and oscillatory convection.