Unsteady Triple Diffusive Convection Embedded with Darcy-Brinkman Three Temperature Model

The theory of the binary nanofluid layer heated and soluted from below under the effect of local thermal non-equilibrium has been investigated by applying the technique of superposition of basic feasible modes with one term residual method. The so-called Darcy-Brinkman model for the top-heavy distribution of nanoparticles has been employed. A three-temperature LTNE model, assuming one-temperature field for the solid matrix, one for the base fluid, and one for the suspended nano-sized particles is employed incorporating the effects of Brownian and thermophoretic diffusions. Numerical computations are carried out with the software Mathematica (version 12.0). The novelty of the problem lies in the fact that destabilizing influence of nanoparticles and solute is countered with the stabilization due to the presence of Darcy-Brinkman porous medium. Further, the four LTNE parameters also have the balancing effect on the system.