New Model for Discussing the Diffusion Phenomena Effect on a Thermoelastic Plate Associated With Three-phase Lag

Here, a new model was used to discuss the effect of a magnetic field on an isotropic, homogeneous, elastic material with generalized thermoelastic diffusion with two-temperature using a new technique. Most researchers in this domain discussed the behavior of the solution depending on two ways: the Laplace method and the normal mode method. Those two methods fail in explaining some of the physical meaning of the problems, especially the behavior of time. On the other hand, the separation of variables method solves the system of equations and gets the analytical solution directly. Copper material is used to discuss the results found in some magnetic field

New Model for Discussing the Diffusion Phenomena Effect on a Thermoelastic Plate Associated with Three-phase Lag

Here, a new model was used to discuss the effect of a magnetic field on an isotropic, homogeneous, elastic material with generalized thermoelastic diffusion with two-temperature using a new technique. Most researchers in this domain discussed the behavior of the solution depending on two ways: the Laplace method and the normal mode method. Those two methods fail in explaining some of the physical meaning of the problems, especially the behavior of time. On the other hand, the separation of variables method solves the system of equations and gets the analytical solution directly. Copper material is used to discuss the results found in some magnetic field

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