Entropy optimized radiative heat transportation in axisymmetric flow of Williamson nanofluid with activation energy

Abstract This communication provides an innovative idea of entropy generation optimization and activation energy aspects on transient axisymmetric flow of Williamson nanofluid due to moving radiallysurface with the effects of binary chemical reactions. A revised model of nanofluid is adopted for the suspension of nanoparticles. Moreover, nonlinear thermal radiation is considered. Impact of Joule heating, MHD and viscous dissipation enhances the importance of this investigation for entropy generation optimization. Two more realistic surface conditions, zero nanoparticles normal flux and velocity slip are utilized at the radially moving surface. The fundamental equations of entropy generation rate, nanoparticles concentration, Bejan number, thermal energy as well as momentum for the Williamson nanofluid in axisymmetric case are modeled with the help of boundary layer analysis. Highly nonlinear ODEs are received from leading PDEs with the help of nondimensional transformation and then solved numerically through shooting Fehlberg approach. Surface drag force and Nusselt number are also computed. Fabulous numerical outcomes are achieved and compared with the existing study and found to be in outstanding agreement. It is important to find that entropy generation rate grows for larger estimation of Brinkmann number. Moreover, Bejan number is depressed for escalating Eckert number. Furthermore, nanoparticles concentration is a growing function of activation energy parameter.