Numerical analysis of MHD three-dimensional Carreau nanoliquid flow over bidirectionally moving surface

Abstract

The present work has abundant applications in the branch of mechanical engineering. Heat and mass transport analysis is very important in the manufacturing of various mechanical systems like heat exchangers, domestic refrigerator, fuel cells, hybrid-powered engines and thermal management of vehicles. We explored the features of three-dimensional magnetohydrodynamic (MHD) flow and heat transport phenomenon of Carreau nanoliquid over a stretched sheet under the influence of thermal radiation. The system of ordinary differential expressions is developed through the implication of similarity variables. Solutions of governed non-linear expressions are accomplished by a well-known Runge–Kutta–Fehlberg fourth and fifth order scheme. The characterization of pertinent parameters is visualized through plotted graphs and tables. It is found that both Weissenberg number and magnetic field parameter enhance the temperature and reduce the liquid velocity. The temperature of liquid is increased when the values of Brownian motion and thermophoretic parameters enhance. A comparative benchmark is presented to justify the validity of solutions.