Abstract This work numerically examines the thermal behavior of lid-driven magnetohydrodynamic nanofluid (Cu–H 2 O) flow within a porous hexagonal enclosure embedded with two conductive fins. The top wall moves in the \: +x direction of velocity \: U₀ and is maintained at temperature \: T₂, while the bottom wall is insulated. The lower slanted walls are imposed at a constant heat flux, whereas the upper slanted walls are adiabatic. The finite difference approach transforms the model equations into a system of algebraic equations that are iteratively solved utilizing relaxation techniques in MATLAB software. Numerical simulations and graphical illustrations are used to analyze flow and heat transfer over a wide range of relevant parameters. The findings demonstrate that increasing the Reynolds and Darcy numbers enhances the heat transfer rate, whereas a stronger magnetic field suppresses it. In addition, the average Nusselt number (Nu av) along the lower slanted walls, i. e. , left and right, upsurges by 10. 35% and 13. 69%, respectively, as ϕ rises from 0 to 4%. Furthermore, the results indicated that inclusion of wall-mounted fins reduces the Nu av compared to the unfinned case.
Shiferaw et al. (Mon,) studied this question.