Darcy-Benard double diffusive Marangoni convection with Soret effect in a composite layer system

Abstract

The effect of Soret parameter on double diffusive Marangoni convection in a two-layer system, comprising an incompressible two component fluid saturated porous layer over which lies a layer of the same fluid under micro gravity condition is investigated analytically. The upper boundary of the fluid layer is free, the lower boundary of the porous layer is rigid and both the boundaries are insulating to heat and mass. At the interface, the velocity, shear stress, normal stress, heat, heat flux, mass and mass flux are assumed to be continuous. Thermal Marangoni number is obtained by solving ordinary differential equations using method of exact solution. The effect of different physical parameters on double diffusive Marangoni convection are also investigated in detail.

The onset of Darcy–Brinkman–Rayleigh–Benard convection in a composite system with thermal diffusion

“…For a fixed value of d ˆ, with the rise in the value of Darcy number Da = 0.0001, 0.0005, 0.001, 0.005, 0.01, R c falls. That is, the decrease in the flow It is seen that the porous parameter Da have the reverse effect when the onset of doublediffusive convection with Soret parameter is analyzed using the method of the exact solution in a composite system with rigid-free boundaries under microgravity condition (Sumithra et al 20 ) which may due to the presence of only surface tension forces.…”

“…The impact of the same parameters was to destabilize the composite system with rigid-free boundaries under microgravity conditions solved by the exact method, 20 which may due to the presence of only surface tension forces.…”

“…Komala and Sumithra 19 examined the stability of the composite system with rigid rigid boundary conditions and have concluded that the system is found stable with larger values of Darcy number and solute Rayleigh number. Sumithra et al 20 have considered a composite system to analyze the effect of the Soret parameter on the double-diffusive Marangoni convection using the exact method. They have concluded that with the increase in the Soret coefficient, the system develops instability.…”