The Effect of Local Thermal Non-Equilibrium on the Onset of Brinkman Convection in a Nanofluid Saturated Rotating Porous Layer

We examine analytically the effect of local thermal non-equilibrium on the onset of nanofluid convection in a rotating porous layer with zero nanoparticle flux boundary condition. The model used for nanofluid combines the effects of Brownian motion and thermophoresis, while for porous medium Brinkman model are employed. The effect of local thermal non-equilibrium between the solid porous matrix and fluid, and fluid and nanoparticle phases is investigated using a three-temperature model. Using the linear stability theory, the onset criterion for convection is derived analytically and obtained that convection sets in earlier in the case of LTNE than LTE. Several results are obtained as limiting cases of the present study.