Abstract
A numerical investigation is carried out to study the three-dimensional Sisko fluid flow in the presence of nonlinear thermal radiation and convective boundary conditions over a bidirectional stretching surface. In addition, the impact of newly suggested model for nanofluid is considered that requires nanoparticles volume fraction at the wall to be passively rather than strongly controlled. The numerical solutions for resulting flow, heat, and mass transfer have been computed utilizing the two different techniques, namely, the bvp4c function in Matlab and shooting method with Runge-Kutta-Fehlberg and Newton-Raphson methods. It is perceived that the temperature profile declines as the power-law index enhances. Furthermore, it is anticipated from the graphs that the concentration profile decays as the Brownian motion parameter rises, while the opposite behavior is observed for the thermophoresis parameter. In addition, these results are more prominent for shear-thinning fluids when compared with shear-thickening fluids. To see the validity of the numerical computations, we compare the results of the shooting technique with the bvp4c and perceived an excellent agreement. The numerical solutions obtained in the limiting cases have shown an admirable agreement with the existing literature