An entropy approach of Williamson nanofluid flow with Joule heating and zero nanoparticle mass flux

The important focus of this research is to investigate the features of MHD radiative Williamson nanofluid flow caused by a stretchable surface entrenched in a porous medium with Joule heating, convective heating and passive controls of nanoparticles. The heat flux is modelled based on the Christov-Cattaneo heat flux theory. Nanofluid contains thermophoresis and Brownian motion effects. Additionally, the entropy generation of Williamson nanofluid is calculated via the second law of thermodynamics. The governing partial differential equations are modified into nonlinear ordinary differential systems by applying appropriate similarity transformations. Homotopy progress is used to solve the nonlinear ordinary differential systems. Outcomes of magnetic field, Weissenberg number, radiation, Eckert number, Brownian motion, Bejan number and entropy generation of different parameters are discussed in detail. Moreover, skin friction, heat and mass transfer rates are evaluated. The comparison of skin friction and Nusselt number is validated, and the results have been reported.