Abstract
This study introduces the Corcione correlation that accentuates the role of fluid temperature, particle volume fraction, and sizes in the increment of the nanofluid heat transfer rate and thermal conductivity. Here, the flow of nanofluid comprising Al
2
O
3
/H
2
O over a biaxial exponentially stretching sheet is considered. The analysis is performed for nanoparticles' sizes 28, 30, and 45 nm and volume concentrations up to 7%. The mathematical model is strengthened by the anisotropic slip and convective boundary conditions. The momentum and heat equations are enriched with the inclusion of the Hall current and the non-uniform heat generation/absorption terms respectively. The nonlinear, coupled momentum and heat nondimensionalized ordinary differential equations (ODEs) are formulated with appropriate transformations and are solved numerically. The effects of many relevant factors are depicted using graphs. It is scrutinized that by enhancing the diameter of nanoparticles (Al
2
O
3
), the skin friction coefficient enhances and the heat transfer rate in the case of different nanoparticle sizes boosts for gradually growing estimations of the volume fraction. It is also deduced that surface slip increases pumping power and the insertion of the nanoparticles into the working fluid enhances heat transmission. To support the thesis, the presented model's validation is also provided.