Abstract:
In this study, two-dimensional, steady, laminar, and compressible gaseous flow of Newtonian fluid in a rectangular
porous microchannel affected by an electromagnetic field, and under local thermal equilibrium condition
was analytically investigated in the slip flow region (0.001< Kn < 0.1). The porous microchannel is entirely
affected by uniform inclined magnetic field with an angle ? from the positive x-axis, the range of this angle is 0 ?
? ? 90?. Also, the porous microchannel effected by uniform electric field which points in the positive z-direction.
Thermophysical properties of the fluid were assumed to be constant. The normalized governing equations were
asymptotically solved and expressions of the flow velocity components, the pressure, and the temperature were
provided using first-order velocity slip and temperature jump boundary conditions. The effects of various parameters
on the flow were studied, such as Darcy number, the porosity, the thermal conductivity ratio, the
electrical conductivity ratio, Hartmann number, Knudsen number, the electric field to magnetic field ratio (0 ? K
? 1), and the magnetic field inclination angle. It was found that increasing the permeability of the porous
medium increases the flow velocity but decreases its temperature. Further, the results reveal that applying a
stronger magnetic field in absence of electric field decreases the flow velocity but increases its temperature. On
the other hand, the stronger the electric field, the higher the flow velocity and its temperature. Also, as the
magnetic field inclination angle increases the flow velocity decreases. The effects of Darcy number and the
electrical conductivity ratio on the heat flux were studied as well. A comparison of the analytical solutions with
the numerical results were presented as a validation for this study. The comparison showed that the analytical
results were in good agreement with the numerical results.