Thermal diffusion and variable thermal conductivity effects on unsteady magnetohydrodynamic (MHD), heat and mass transfer flow past an infinite vertical porous plate have been investigated and analyzed numerically. The resultant flow governing equations are resolved numerically by the finite-difference scheme of the Crank-Nicolson type implicit method. The non-dimensional velocity, fluid temperature, and species concentration distributions are conferred through graphs for different fluid parameters involved such as joule-heating parameter, suction parameter, chemical reaction parameter, radiation parameter, etc. The coefficient of skin friction, Nusselt number and Sherwood number were tabulated. The concentration of the fluid rises with an increase in Soret number, whereas the Sherwood number reduces due to its increase.

This paper presents a numerical investigation of mixed convection heat transfer around a pair of identical circular cylinders placed in side-by-side arrangement inside a square cavity of single inlet and outlet ports. The investigation provided the analysis of gradual effect of aiding thermal buoyancy on upward flow around cylinders and its effect on heat transfer rate. For that purpose, the governing equations involving continuity, momentum and energy are solved using the commercial code ANSYS-CFX. The distance between cylinders is fixed with half-length of cavity. The simulation is assumed to be in laminar, steady, incompressible flow within range of following conditions: Re = 1 to 40, Ri = 0 to 1 at Pr = 0.71. The main obtained results are shown in the form of streamline and isotherm contours in order to interpret the physical phenomena of flow and heat transfer. The average Nusselt number is also computed and presented. It was found that increase in Reynolds number and/or Richardson number increases the heat transfer. Also, aiding thermal buoyancy creates new form of counter-rotating zones between cylinders.

The ferrofluid flow model of the Shliomis and continuity equation for the film and porous interface with the theory of Darcy, the modified Reynolds equation for ferrofluid squeeze film between curved annular plates is discussed with the impact of the rotation of Ferro-particles and slip velocity at the boundary. Beavers and Joseph’s slip conditions are adopted to study the impact of slip velocity. The generalized non-dimensional pressure equation is derived and expression for dimensionless load-carrying capacity is obtained for the same. The graphical representation suggests that the bearing's performance enhances due to ferrofluid, considering the appropriate values of parameters for slip velocity and porosity.