Impact of radiation on MHD heat and mass transfer of Williamson nanofluid over a non-linear stretching sheet with melting and heat source - A numerical investigation

The goal of this research is to analyze the heat transmission and MHD (Magnetohydrodynamics) Williamson nanofluid movement features across a non-linear stretching sheet contained in a permeable medium. In order to convert the leading formulation into ordinary differential equations(ODEs) form, a similarity conversions are used. The coupled equations, including non-linear components, are numerically solved using the built-in solver bvp4c in MATLAB. Using both graphical and tabular representations, the impacts of numerous dimensionless factors on the concentration category, friction factor, heat and mass transfer rates, and velocity are shown. An outstanding agreement is shown when the numerical findings are compared to previously published results. The findings that were obtained suggested that the increase in the Williamson parameter, the magnetic number, and the Prandtl number all contribute to a restriction in the velocity of the fluid. A wide range of factors, including the Williamson parameter, the thermophoresis factor, the heat source Brownian motion factor, the radiation parameter, and the Eckert number, have the potential to raise the temperature area. Schmidt and the chemical reaction parameter are responsible for the fall in the concentration distribution.