Abstract
In this mathematical study, the time-independent, incompressible, magneto-hydrodynamic nanofluid flow over a vertical stretching surface has been investigated. The impact of gravitational body forces along with convective boundary condition has also been a part of this study. The viscous effects of nanofluid are assumed to be temperature-dependent and in this context, the Reynolds exponential viscosity model has been employed. It is also assumed that the base fluid contains a uniform suspension of nanoparticles. The Buongiorno model comprising the thermophoresis and Brownian motion effects have been taken into account. For the sake of solution, the Runge-Kutta-Fehlberg method has been selected and the resulting outcomes have been compared with the previously published data. Moreover, the graphical plots illustrating the impact of various emerging entities on the momentum, mass, and heat transfer properties have also been provided. It has been noticed that the nanofluid viscosity parameter decelerates the fluid velocity, however, a reversed phenomenon has been achieved for the temperature and the concentration profile. Also, an augmentation in Nusselt number has been noted with the increased thermal and species Grashof numbers.