Analysis of heat transfer in a non-Newtonian nanofluid model with temperature-dependent viscosity flowing through a thin cylinder

Abstract

The present article studies the Eyring-Powel nanofluid boundary layer flow over a thin cylinder while taking temperature dependence of viscosity into consideration. It is observed that thermal conductivity remarkably increases in the case of a non-Newtonian fluid mixture base. Buongiorno model is used for this analysis. In order to reduce the governing system of partial differential equations (PDE) coupled with boundary conditions into a dimensionless form using the boundary layer approximation, significant physical parameters are concentrated on and appropriate similarity transformations are performed. The resultant coupled systems of boundary-constrained nonlinear ordinary differential equations (ODE) are resolved in MATLAB using the reliable bvp4c method. Graphical depictions are carried out to comprehend the impact of the newly emerged physical constraints. It is observed that, as a significant result, the non-dimensional velocity profile declines when increasing the curvature parameter, buoyancy parameter, and Prandtl number. In the end, it is also observed that the temperature profile declines with the increase in radiation parameters and Prandtl number.

Keywords

• Eyring-Powell model
• Slender cylinder
• Numerical solution
• Transfer of heat
• Variable viscosity