Analysis of Ag-MgO /water Williamson hybrid nanofluid flow with viscous dissipation over a radially stretching surface under magnetic field and heat source effects

This paper gives an extensive numerical study of the two-dimensional, steady magnetohydrodynamic (MHD) heat transmission and flow properties of a Williamson hybrid nanofluid (HNF) over a stretching sheet. The hybrid nanofluid consists of water as the base fluid, comprising a suspension of magnesium oxide (MgO) and silver (Ag) nanoparticles, in order to enhance the conductivity of heat and flow behavior. The model incorporates the impacts of viscous dissipation, an externally applied magnetic field, Joule heating, and convective boundary condition at the surface. The non-Newtonian performance is characteristized through the Williamson fluid model, and the thermophysical aspects of the hybrid nanofluid are assessed by established correlations. The governing partial differential equations (PDEs), which are derived from mass conservation, momentum conservation, and energy conservation laws, are simplified into a system of nonlinear ordinary differential equations (ODEs) through similarity transformations. Similarity transformation are utilized to convert model equations PDEs to nonlinear ODEs. Such ODEs were solved numerically through hybrid approach (Spectral collection scheme along Legender Wavelets (SCSLW)) combined with shooting technique. Key parameters like the volume of nanoparticles, Biot, Eckert and Weissenberg number, and the influential magnetic parameter significantly impact on thermal and velocity fields. Important physical parameters like skin friction and Nusselt number have been taken to examine shear stress and heat transfer. The consequences of non-Newtonian behavior and Lorentz forces play a stunning role in the thermal energy characteristics of Ag-Mgo hybrid nanoparticles, thus enhancing the transfer of heat