Transportation of heat and mass transport in hydromagnetic stagnation point flow of Carreau nanomaterial: Dual simulations through Runge-Kutta Fehlberg technique

In this research communication, MHD time dependent stagnation point flow of non-Newtonian fluid (Carreau fluid) is addressed subject to stretchable and shrinking surface of sheet. Stagnation point flow is considered. The novel features of slip mechanisms like Brownian and thermophoresis diffusions are accounted for the modeling of energy expression. The nonlinear partial differential expressions are converted to ordinary ones in the presence of similarity transformations and then dual solutions are obtained through implementation of Runge-Kutta Fehlberg Technique (RKFT) along with Shooting method (SM). The dual solutions are also computed which elaborate the Skin fraction, Nusselt number and Sherwood number and stress model number and its they're first and second solutions. A numerical compression is also prepared to justify our solutions with the available results as a limiting case.