Entropy Study of Hybrid (Al₂O₃-Cu/H₂O) Nano-Fluid in a Cylindrical Cavity with Wavy Sides Under the Effect of a Parallel Magnetic Field

The convection and entropy of a hybrid nanofluid were investigated in a cylindrical chamber. Inside the cylinder, we have added a rectangular fin with a temperature of Th. Tc applied on the right waving wall. Insulation installed on both the top and bottom walls. The induction of a steady magnetic field is included in this research. Governing equations are resolved by Galerkin finite element method (GFEM) and it's utilized to treat the controlling equations obtained by giving different characteristics of fluid like The porosity, cylinder rayon and the size of the nano particles with Rayleigh, Hartmann and Darcy numbers. This information is crucial for controlling both fluid flow and the heat transfer rate for normal convection. The results of the solution demonstrate that Da influences the entropy and leads to a decrease in the generation of entropy. The Nusselt mean differs in a straight line with the dynamic. The domain of flows through the sublime modes while it acts contrary with the magnetic force. The use of a rectangular fin inside a cylindrical enclosure rather than traditional ones, as well as the evaluation of its optimal dimensions, was novel in this paper. Moreover, the novelty of this study is that it fills a research gap by looking into the effect of the specific shape of the walls of the porous chamber on heat flux.