Novel Insights into Radiative Magneto-Nanoliquid Flow in Confined Plate Geometry with Shape-Dependent Nanoparticles

In the current study we investigate natural convective heat transfer between two vertical, non-conductive walls, taking into account the combined influences of radiative heat flux, induced magnetic fields. The analysis incorporates copper nanoparticles of various shapes namely spherical-like, brick-like, cylindrical-like, platelet-like, and blade-like dispersed in a water. The governing equations, expressed in dimensionless form are addressed through a numerical approach utilizing a finite difference scheme, with accuracy further improved by applying Richardson’s extrapolation technique. The influences of key dimensionless parameters are examined individually with respect to velocity, thermal and concentration profiles, induced magnetic field, induced current density, mass flux, and are presented graphically. Additionally, the impact of nanoparticle volume fraction on Nusselt number, skin friction and Sherwood number is assessed individually and displayed using a structured table format. It has been observed that when the nanoparticle volume fraction takes values (0.02, 0.04, 0.06) at the left-side boundary heat transfer is enhanced by 9.7671%, 20.1801%, and 31.3694%, respectively, while at the right-side boundary it is increased by 9.146%, 19.07%, and 29.759% in the scenario involving blade-like nanoparticles, as opposed to those with a spherical geometry nanoparticles. The results obtained in the absence of nanoparticles have been validated against existing literature and show good agreement.