A lattice Boltzmann model is proposed to asses the impact of variable molecular transport effects on the heat and mass transfer in a horizontal shallow cavity due to natural convection. The formulation includes a generalized form of the Soret and Dufour mass and heat diffusion (cross diffusion) vectors derived from non-equilibrium thermodynamics and fluctuation theory. Both the individual cross...

Molecular diffusion processes are caused by concentration gradients in a multi-component mixture. Noticeable diffusion flux can also be induced by temperature gradients which lead to partial separation of constituent components. This cross effect between temperature and concentration is known as thermo diffusion or Soret effect. This effect can be quite important in the analysis of the distribu...

Blood flow through a sclerotic artery and the effect of thermal heat on cholesterol concentration in presence magnetic field are modelled using mathematical models which represent blood momentum coupled with buoyancy due to temperature, concentration, porosity medium effect. The study involved formulation geometry atherosclerosis at specific location sclerosis over time arterial channel. system...

The effects of chemical reaction, thermal stratification, Soret and Dufour numbers on magneto-hydrodynamic free convective heat and mass transfer of a viscous, incompressible,and electrically conducting fluid on a vertical stretching surface embedded in a saturated porous medium are presented. A similarity transform is used to reduce the governing partial differential equations into a syste...

The Soret effect, as it occurs in the diffusion of solutes in crystals, is analyzed using the principle of microscopic reversibility whereby an approach is developed for interpreting and computing Q*, the heat of transport. To compute the transport of energy during the diffusion jump process, and then Q*, the processes of thermal activation to the transition state and the decay from the transit...

In this mathematical model, the consequences of Soret and Dufour’s effects on energy mass transport have been reported. The hybrid nanofluid (hnf) comprised silver (Ag) magnesium oxide (MgO) nps is studied over a stretching rotating sheet. influence thermal radiation, second-order chemical reaction, activation energy, magnetic field also applied to fluid flow. phenomena are designed in form non...