Magneto-Free Convectiveof Hybrid Nanofluid inside Non-Darcy Porous Enclosure Containing an Adiabatic Rotating Cylinder

Magneto-free convective of hybrid nanofluid with an inner adiabatically rotating cylinder and a hot side wall was analyzed in a non-Darcy-permeable cavity. The Darcy-Forchheimer model has been used for the permeable domain. The solutions of employing equations are obtained by the Finite Element Method. The role of different Rayleigh (103 <= Ra <= 106) for various angular velocity (0 <=$$\Omega $$Omega <= 6000), Darcy (10-5 <= Da <= 10-2), and Hartmann number (0 <= Ha <= 100) are illustrated. The obtained data were compared with already cited researches, and a great degree of accuracy and compatibility were found symmetric. The implications of relevant parameters on velocity, stream functions, isotherms and mean Nusselt number are graphically examined. Estimations demonstrate that the mean improvement in heat transfer is more pronounced with the enhancement in Darcy number, the angular velocity, Rayleigh number, and decays through the rise of Hartmann number. It is also observed that an increment in Ra leads to an apparent incremental increase in the stream function outcome. A significant enhancement was also noticed in Nu number with augmentation in the Da and Ra numbers, but certain decline occurred for augmented values of Ha number and rotation speed.