Local Thermal Non-Equilibrium Dominant Darcy-Rayleigh-Benard-Magneto-Marangoni Convection in a Composite Layer

Abstract

The domination by Local Thermal Non-Equilibrium (LTNE) with regard to the onset of Darcy-Rayleigh-Benard-Marangoni (DRBM) convection swayed by magnetic field in a composite layer set-up is studied pertinent to incompressible fluid. The precinct above the fluid layer is presumed to be free and that below the porous layer is presumed to be rigid. Regular perturbation technique is exercised on the acquired problem to achieve the analytical solution taking adiabatic-adiabatic conditions into account at the boundaries. Effects of parameters such as solid phase thermal expansion ratio, solid phase thermal diffusivity ratio and inter-phase thermal diffusivity ratio that influences LTNE are discussed. The impact of change in measures of variables viz. fluid phase thermal expansion ratio, fluid phase thermal diffusivity ratio, porous parameter, thermal ratio, Chandrasekhar number and Marangoni number with respect to both LTNE and LTE situations are together explored and portrayed graphically. It is to be noted that for smaller values of fluid phase thermal expansion ratio and fluid phase thermal diffusivity ratio, the LTNE effects are prominent and cannot be ignored.

Effects of LTNE on Two-Component Convective Instability in a Composite System with Thermal Gradient and Heat Source

“…Both the solid and liquid phases are assumed to be in the LTNE, and it is thought that a solid-fluid field model can characterize the temperature differences between the solid and liquid phases separately for the porous layer. For the composite system Darcy model, the basic equations assume the Boussinesq hypothesis (see Sumithra and Shyamala [29]).…”

“…) For the composite system Darcy model, the basic equations assume the Boussinesq hypothesis (see Sumithra and Shyamala [29]).…”