Analysis of mixed convection of a power-law non-Newtonian nanofluid through a vented enclosure with rotating cylinder under magnetic field

The impact of an inner adiabatic rotating cylinder within a vented cavity on the mixed convection of a hybrid nanofluid is investigated in this paper using a numerical solution. The governing equations of mixed convection motion are assumed to be two-dimensional, steady, and laminar for an incompressible power-law non-Newtonian hybrid nanofluid. Using the finite element technique, these equations are numerically solved. (Al₂O₃–Cu/CMC) is presented as a nanofluid in this study. The effects of significant parameters such as the Hartman number (0 < Ha < 100), cylinder radii (0.1 < R < 0.25), cylinder positions (0.25 < AR < 0.75), angular rotational speed (−10 ≤ Ω ≤ 10), Grashof number (10³ ≤ Gr ≤ 10⁵) and Reynolds number (50 ≤ Re ≤ 500) are studied. The gathered information is displayed using a variety of qualitative and quantitative numbers. The findings report that rotating the stationary cylinder counterclockwise enhances convective heat transfer, whereas rotating it clockwise has the opposite effect. Furthermore, when the cylinder is rotated counterclockwise, the heat transfer improves as the cylinder approaches the hot wall.