An examination of the flow of magnetohydrodynamic viscous fluid and heat transfer between penetrable disks using the variation iteration method and finite element method

This study examined the steady, two-dimensional, incompressible, and laminar viscous fluid flow between two porous disks in an external magnetic field. The main objective of this article is to propose a novel model that utilizes the numerical and analytical method (VIM) to solve the coupled differential equations of temperature and velocity while considering repeated changes. Furthermore, the finite element method is employed to analyze the pressure and temperature gradient variations for aluminum oxide and ethylene glycol nanoparticles flowing over two parallel discs. The finite element method has been used in both FlexPDE and CFD software to analyze these parameters. The results show that the velocity in the center of the space between the discs decreases as the Reynolds number increases. In simpler terms, the shape of the radial velocity patterns resembles a parabola. As it approaches the lower disc, the velocity gradually increases. The gradient of average velocity in the r-direction for ethylene glycol nanotubes around parallel disks is approximately 18.32 % greater than that of aluminum oxide nanotubes.