Laminar Mixed-Convection and Entropy Generation Inside Inclined Cavity with Rotating Porous Cylinder

The present study performs a comprehensive computational analysis of thermofluidic transport within a shear-driven inclined square enclosure containing a centrally positioned rotating porous cylinder, under a two-dimensional laminar mixed convection regime. The top boundary enacts a uniform translational motion, while thermal boundary impositions entail an isothermal heated base, a cooled lid, and adiabatic lateral walls. The inclination angle of the cavity is varied from 0 to 90 degrees to investigate how orientation affects the flow and the heat transfer characteristics. The interplay between the natural and the forced convection is examined by regulating the Richardson number across a moderate range of 0.5 to 5, while the permeability effects are captured through variations of the Darcy number. The influence of cylinder rotation is analyzed by applying nondimensional rotational velocity between 0 to 5, both clockwise and counter-clockwise. The results reveal a highly nonlinear interaction among shear-driven vortices, buoyant forces, and rotational motion. Entropy generation analysis shows that the thermodynamic performance is optimized when the cavity is vertical and buoyancy is weak, while the highest irreversibility occurs in the horizontal orientation with strong clockwise rotation highlighting critical configurations for thermal optimization.