A numerical study of the nanofluid flow over an exponentially stretching surface with Navier slip condition following Corcione model

The size of nanoparticles influences the viscosity and thermal conductivity of a nanofluid flow. In this exploration, the impacts of the dynamic viscosity and thermal conductivity of the Corcione model on the magneto-hydrodynamics (MHD) Cu-water nanofluid flow over an exponentially stretched surface are examined. It is pertinent to mention that the whole scenario is done at 300K and the freezing temperatures of 273.15K with a particle size of 25nm. The Navier slip and convective boundary conditions are assumed at the surface. A homogeneous single-phase model is adopted to formulate the problem. Nonlinear, coupled momentum, and energy balance nondimensionalized ordinary differential equations (ODEs) are constructed with suitable transformations. To solve these ODEs numerically, a renowned bvp4c technique of MATLAB software is employed. The effects of the arising parameters are represented graphically and numerically and are depicted in tables and graphs. It is witnessed that the velocity of the copper-water nanofluid declined with larger estimations of the volume fraction of nanoparticles, although the temperature distribution showed the reverse tendency. Moreover, at the surface for higher values of the slip parameter, the velocity profile reduces and the temperature of the fluid augments for higher values of the Biot number. The validation of the model is also executed by comparing it with the published result in the limiting case. An outstanding correlation is attained.

Automated summary

In this study, the impact of nanoparticle size on the viscosity and thermal conductivity of nanofluid flow over an exponentially stretched surface is examined using the Corcione model. The results showed that the velocity of the copper-water nanofluid decreased with larger volume fractions of nanoparticles, while the temperature distribution showed the opposite trend. Additionally, at the surface, higher values of the slip parameter led to a reduction in velocity and higher values of the Biot number resulted in an increase in fluid temperature.