Role of inclined magnetic field on Couette slip flow and heat transfer with viscous dissipation in a rotating porous channel: Application in pumping systems

The flow of electrically conducting fluids in rotating porous channels is of significant importance in various engineering and industrial applications, including the cooling of rotating electrical machines, magnetohydrodynamic generators, biomedical devices involving rotational blood flow, and filtration systems in chemical reactors. Motivated by these applications, this paper investigates the flow through a rotating porous channel bounded by two impermeable horizontal plates, where the lower plate is stationary and the upper plate moves at a constant velocity. The system is subjected to a uniform inclined magnetic field, incorporates wall slip effects, and accounts for viscous dissipation. The channel rotates with a constant angular velocity, inducing a secondary flow due to Coriolis effects. Analytical expressions for the velocity profiles and flow rates in both directions are derived, while the temperature distribution is computed numerically using the Runge–Kutta method via MATLAB's built-in solver. A parametric study is conducted to analyze the influence of the Hartmann number, Taylor number, slip parameter, inclination angle of the magnetic field, and Eckert number. A contour plot between the Hartmann number and Taylor number is also analyzed. Furthermore, asymptotic analysis is performed to understand the limiting behavior of the solution with respect to key parameters. Future studies may extend this work to non-Newtonian fluids, transient flow, or geometrically more complex domains.