Numerical analysis of the combined effects of natural convection exchange of thermal, entropy generation, and the existence of a warmed elliptical cylinder in a wavy enclosure stuffed with ferrofluid under an inclined uniform magnetic field. The left and right wavy walls of the enclosure are actively cooled at a temperature (Tc), while its horizontal boundaries are thermally adiabatic. Inside the cavity, an inner elliptical cylinder is heated at a constant temperature (Th). The governing equations for the system under assessment are computed using the Galerkin finite element method. The ferrofluid's flow behavior and exchange of thermal energy are investigated for relevant non-dimensional values, such as the number of sinusoidal (N=6, 12, 18), the Hartmann numbers (Ha=0, 10, 20), the number of Rayleigh (Ra=103, 104, 105), the volume fraction (ϕ=0.00, 0.03, 0.06), and the thermal transport features and entropy production variables. The outcomes show that as the Hartmann number (Ha) amplifies, the Nuavg drastically decrease, while the augmentation of both Rayleigh number (Ra) and volume fraction rise (ϕ), the average thermal transport rate of the ferrofluid increases. Additionally, when the intensity of the magnetic field is (Ha=0), with ϕ=0.06, the velocity field exhibits a more pronounced, while by applying a magnetic field with higher intensity (10≤Ha≤40), the convective heat transfer drops drastically. The application of a magnetic field significantly influences the velocity profile, effectively reducing the stream function from |ψ|max=42.54 to |ψ|max=23.09 as the Ha enhances from 0 to 20. Furthermore, the Beavg declines with the enhancement in Ra and ϕ, while it grows with the rise in Ha.
Ali et al. (Fri,) studied this question.