Thermal analysis of Williamson fluid flow with Lorentz force on the stretching plate

Abstract

This study is dedicated to the semi-analytical solution of the problem by managing the inclined Lorentz force and variable viscosity impacts on Williamson nanofluid as visco-inelastic fluids on a stretching plate. Varying viscosity is supposed to change with temperature as a linear function. The fundamental mathematical modeled problem, i.e., the system of PDEs, is transformed nonlinear into odes using appropriate transformations. Computational solutions to the issue are also performed through the efficient semi-analytical method. AGM (Akbari-Ganji method) has been used in solving nonlinear coupling equations. Characteristics of some control parameters such as Hartmann number, inclined angle, and stretching index have been considered. Also, the Sherwood number and Nusselt number are described in tables. The results show that the heat transfer rate decreases by increasing the Pr number. Also, increasing the thermophoresis parameter reduces the temperature. Comparing the results obtained from the AGM and previous research shows that the technique used has high accuracy and efficiency.

Keywords

• AGM
• Nanofluid
• Lorentz force
• Varying viscosity