Finite element computation of multi-physical micropolar transport phenomena from an inclined moving plate in porous media

Non-Newtonian flows arise in numerous industrial transport processes including materials fabrication systems. Micropolar theory offers an excellent mechanism for exploring the fluid dynamics of new non-Newtonian materials which possess internal microstructure. Magnetic fields may also be used for controlling electrically-conducting polymeric flows. To explore numerical simulation of transport in rheological materials processing, in the current paper, a finite element computational solution is presented for magnetohydrodynamic (MHD), incompressible, dissipative, radiative and chemically-reacting micropolar fluid flow, heat and mass transfer adjacent to an inclined porous plate embedded in a saturated homogenous porous medium. Heat generation/absorption effects are included. Rosseland’s diffusion approximation is used to describe the radiative heat flux in the energy equation. A Darcy model is employed to simulate drag effects in the porous medium. The governing transport equations are rendered into non-dimensional form under the assumption of low Reynolds number and also low magnetic Reynolds number. Using a Galerkin formulation with a weighted residual scheme, finite element solutions are presented to the boundary value problem. The influence of plate inclination, Eringen coupling number, radiation-conduction number, heat absorption/generation parameter, chemical reaction parameter, plate moving velocity parameter, magnetic parameter, thermal Grashof number, species (solutal) Grashof number, permeability parameter, Eckert number on linear velocity, micro-rotation, temperature and concentration profiles. Furthermore, the influence of selected thermo-physical parameters on friction factor, surface heat transfer and mass transfer rate is also tabulated. The finite element solutions are verified with solutions from several limiting cases in the literature. Interesting features in the flow are identified and interpreted

Effect of thermal stratification on MHD free convection with heat and mass transfer over an unsteady stretching surface with heat source, hall current and chemical reaction

The present investigation is concerned with the effect of thermal stratification on magnetohydrodynamic free convection boundary layer flow with heat and mass transfer of an electrically conducting fluid over an unsteady stretching sheet in the presence of strong magnetic field. The electron–atom collision frequency is assumed to be relatively high, so that the Hall effect is assumed to be exist, while induced magnetic field is neglected. The transformed nonlinear boundary layer equations are solved numerically by applying Keller-box method. Effect of Prandtl number, magnetic parameter, Hall parameter, heat source parameter, radiation parameter, Schmidt number, chemical reaction parameter, Grashof number, modified Grashof number, as well as the local skin friction coefficient, heat and mass transfer rates are depicted graphically and in tabulated form. It has been found that these parameters affect considerably the considered flow characteristics