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...

This study examines the numerical solutions of an unsteady natural convection Couette flow a viscous, incompressible and electrically conducting fluid between two vertical parallel plates in presence thermal radiation, Soret Dufour. The fundamental dimensionless governing partial differential equations for impulsive movement plate are solved by method lines (MOL). simulations effects Dufour on ...

The effects of thermal radiation, Soret and Dufour parameters on mixed convection and nanofluid flow over a stretching sheet in the presence of a magnetic field are investigated. The flow is subject to temperature dependent viscosity and a chemical reaction parameter. It is assumed that the nanoparticle volume fraction at the wall may be actively controlled. The physical problem is modelled usi...

The Soret and Dufour effects on the steady, laminar mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a micropolar fluid saturated non-Darcy porous medium with heat and mass flux conditions are investigated. The non-linear governing equations and their associated boundary conditions are initially cast into dimensionless forms using similarity transformatio...

We set up a discrete space-time dynamical model of molecules with thermalised kinetic energy and repulsive cores, in an external potential. The model obeys the first and second laws of thermodynamics. The continuum limit, obtained using a MAPLE program, gives rise to coupled reaction-diffusion equations for the density and temperature fields. The system obeys Onsager symmetry and exhibits the S...

The present paper investigates the combined effects of Soret and Dufour on free convective heat and mass transfer on the unsteady one-dimensional boundary layer flow over a vertical channel in the presence of viscous dissipation and constant suction. The governing partial differential equations are solved numerically using the implicit Crank-Nicolson method. The velocity, temperature, and conce...

The primary theme of this communication is to employ convective condition of mass transfer in the theory of peristalsis. The magnetohydrodynamic (MHD) peristaltic transport of viscous liquid in an asymmetric channel was considered for this purpose. Effects of Ohmic heating and Soret and Dufour are presented. The governing mathematical model was expressed in terms of closed form solution express...

In the present approach, a two-dimensional steady MHD free convection flow and mass transfer over a stretching sheet has been analyzed numerically including the Dufour and Soret effects with a magnetic field. The governing differential equations of the problem have been transformed into a system of non-dimensional differential equations, which are then solved numerically using a sixth-order Run...