Implementation of finite element scheme to study thermal and mass transportation in water-based nanofluid model under quadratic thermal radiation in a disk

Due to the unlimited usage and involvement of nanoparticles, researchers got much interest in their study. This research discusses the utilization of a hybrid nanofluid model mixed in water-based liquid in a rotating disk. The flow is considered with the involvement of Hall and ion slip effects in a rotating disk. Thermal transport is discussed by engaging quadratic thermal radiation phenomenon along with Joule heating. The boundary layer equations are generated in the form of coupled PDEs and are converted into a set of ODEs by engaging similarity variables. The derived converted ODEs are highly nonlinear and have been solved numerically via the finite element method. The involvement of numerous emerging parameters against velocity, temperature and concentration is plotted and tabulated and their insight physics is discussed in detail. The obtained results confirm the reliability of finite element scheme.