Simultaneous effects of nonlinear thermal radiation and Joule heating on the flow of Williamson nanofluid with entropy generation

Abstract

The present communication addresses the heat and mass transfer mechanism in MHD nanofluid flow of Williamson fluid over a stretching sheet taking the combined effects of Joule heating, nonlinear thermal radiation and viscous dissipation into consideration. For physical relevance we also analyzed the influence of chemical reactions on the flow field. The appropriate transformations are implemented to metamorphose the governing PDEs into a set of coupled ODEs. The shooting technique along with fourth order Runge–Kutta method has been implemented to get the solutions of obtained highly non-linear ODEs. The second law of thermodynamics is implemented to model the equation of entropy generation for the current analysis. Impact of different dominant parameters on velocity, temperature, concentration, entropy generation as well as Bejan number are described through graphs whereas the variation in the skin friction coefficient, heat transfer rate and mass transfer rate are studied using numerical data in the tabular form. It is observed from the obtained numerical data that the rate of heat transfer gets reduced with increase in Eckert number while the thermal radiation parameter tends to enhance it. Increase in Brinkman parameter leads to a rise in entropy generation while it (Brinkman parameter) has an adverse effect on Bejan number.