This work consists of a description of the laminar flow of a nanoliquid in a trapezoidal cavity, In addition to measuring convective exchanges that take place there. The cavity in question is geometrically trapezoidal at right angles containing a hybrid Cu-Al2O3/Water nanofluid. The enclosure with the zigzagged wall is under the action of an external magnetic field and uniform at an angle of inclination γ. The Darcy-Forchheimer model has been used for the permeable domain. The impact due to Hartmann number (0 ≤ Ha ≤ 100), rotation speed (−4000 ≤ ω ≤ 4000), magnetic field inclination angle (0°≤γ ≤90°), Rayleigh number (103 ≤ Ra ≤ 105), cylinder radius (5 × 10−2 ≤ r ≤ 0.2), various N and volumetric fraction (0 ≤ ϕ ≤ 0.08) are investigated. Numerical results in Nusselt's number terms are validated with those in the literature. The obtained findings indicate that the flow of the nanofluid is strongly influenced through the application of a magnetic field, and the thermal performance of the cavity is improved with the augmentation of the Ra and Hartmann numbers. As well as the nanoparticles (NPs) improve heat transport, their rise in the volume fraction augments the total entropy generation with or without the application of the magnetic field and zigzags number (N). However, their contribution to improving heat transfer becomes less convincing with the rise in the Ha.