Abstract
The time varying magneto-hydrodynamic (MHD) Hartmann non-Darcy flow with heat transfer through a porous medium of an electrically conducting, viscous, incompressible fluid between two infinite parallel insulating porous plates is studied. A non-Darcy model that obeys the Forchheimer extension is assumed for the characteristics of the porous medium. A uniform suction and injection as well as an externally applied uniform magnetic field are applied in the direction normal to the plates where a uniform and constant pressure gradient is imposed in the axial direction. The two plates are kept at different but constant temperatures while the Joule and viscous dissipations are considered in the energy equation. The effect of the magnetic field, the Hall current, the porosity of the medium, and the uniform suction and injection on both the velocity and temperature distributions are studied and interesting results are presented for various values of the existing parameters.
Highlights
Fluid flow in porous media is one of the most important topics due to its wide applications in both science and engineering [12, 13]
For larger Reynolds numbers the Darcy law is insufficient and a variety of models has been implemented in studying flows in porous media
The unsteady flow in a porous medium between parallel plates in the presence of uniform suction and injection with heat transfer has been investigated in reference [19]
Summary
Fluid flow in porous media is one of the most important topics due to its wide applications in both science and engineering [12, 13]. For larger Reynolds numbers the Darcy law is insufficient and a variety of models has been implemented in studying flows in porous media. The unsteady flow in a porous medium between parallel plates in the presence of uniform suction and injection with heat transfer has been investigated in reference [19]. The effect of porosity on the flow of a dusty fluid between parallel plates with heat transfer has been. Attia et al [22] presented the effect of heat transfer between two parallel porous plates for Couette flow under pressure gradient and Hall current. The time varying Hartmann nonDarcy flow with heat transfer through a porous medium of an incompressible, viscous, electrically conducting fluid between two infinite insulating horizontal porous plates is studied with the consideration of the Hall current. The effect of the magnetic field, the Hall current, the porosity parameters and the suction and injection on both the velocity and temperature distributions are investigated
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