Two Component Benard-Marangoni Convection in a Composite System Subjected to Variable Heat Source

Abstract

Double diffusive convection is the phenomena that describes the convection driven by two differ-ent densities which have different rates of diffusion. A comparison of two temperature boundaries when i) both the surfaces are set at adiabatic temperature, and ii)upper free surface is adiabatic and lower rigid surface is isothermal cases, on surface tension driven double diffusive convection in a horizontal composite layer is studied analytically using exact method. For both cases i) and ii), the thermal Marangoni number (Tmn) is determined, which is the eigen value, for upper free and lower rigid velocity boundary conditions. The results indicate that the given system is a fluid dominant composite system and adiabatic-isothermal thermal boundary is more stable compare to adiabatic-adiabatic boundary condition.