Numerical study of temperature dependent thermal conductivity and homogeneous-heterogeneous reactions on Williamson fluid flow

Understanding the flow nature of non-Newtonian fluids need more studies in recent days in terms of their various aspects. Further, heat transfer analysis is an inspiring topic in non-Newtonian flows because of its dominant role in technology. With these incentives, a theoretical investigation is performed to study the time-dependent flow of a non-Newtonian fluid model with focus on heat and mass transfer. In this study, we proposed the mathematical model for the flow of Williamson fluid by incorporating the impact of infinite shear rate of viscosity. With the assistance of rheological expression of Williamson fluid, we construct the governing field equations. For physical relevance we analyzed the impacts of homogeneous-heterogeneous reactions on the flow field. The system of governing partial differential equations is transformed into a set of ordinary differential equations by adopting the non-dimensional variables. This non-dimensional ruling problem together with physical boundary conditions are tackled numerically by utilizing Runge-Kutta Fehlberg scheme via MATLAB software. The physical behavior of friction factor, reduced Nusselt number, dimensionless velocity, temperature and concentration distributions for distinct estimations of leading parameters is examined with the assistance of graphs.