Abstract We investigate thermal convection in two horizontal layers of miscible fluids with an initial state which the are at rest and temperature has a linear continuous vertical distribution, but concentration takes different constant values each layer. Because layered is not stationary state, most theoretical methods available for immiscible applicable to case. Here we propose new model flui...

In this recent work, the continuous dependence of double diffusive convection was studied theoretically in a porous medium Forchheimer model along with variable viscosity. The analysis depicts that density saturating fluid under consideration shows linear relationship its concentration and cubic on temperature. model, equations for motion were examined when viscosity changed temperature linearl...

A numerical study on the Rayleigh–Benard convection in a shallow cavity filled with different metal-oxide water-based nanofluids is presented through two-phase model, which accounts for effects of Brownian diffusion and thermophoresis, at variable properties temperature. Numerical simulations are executed values average volume fraction nanoparticles, aspect ratios enclosure, as well temperature...

A mesoscopic method based on the lattice Boltzmann for thermal–solutal incompressible non-Newtonian power-law fluids through porous media is introduced. The macroscopic equations of different representative element volume (REV) models are presented, and various REV reported. general model two- three-dimensional cases their derivations shown. To demonstrate ability proposed method, natural conve...