Double diffusive reaction-convection in viscous fluid layer

In the present study, the onset of double diffusive reaction-convection in a fluid layer with viscous fluid, heated and salted from below subject to chemical equilibrium on the boundaries, has been investigated. The generalized Darcy model is employed for the momentum equation. The fluid and solid phases are considered to be in local thermal equilibrium. Linear and nonlinear stability analyses have been performed. For linear analysis normal mode technique has been used and for nonlinear analysis minimal representation of truncated Fourier series has been used. The effect of Lewis number, solute Rayleigh number, reaction rate and Prandtl number on the stability of the system is investigated. The effect of various parameters on stationary and oscillatory convection is shown graphically. A weak nonlinear theory based on the truncated representation of Fourier series method is used to find the heat and mass transfer