Shear thinning and shear thickening effects in radiative MHD flow of Carreau hybrid nanofluid with hall current and heat source/sink

Abstract

The modeling of non-Newtonian hybrid nanofluids has garnered considerable interest recently due to their superior thermal performance and intricate rheological properties, which are essential in numerous industrial and engineering applications, including cooling systems, polymer extrusion, and material processing. This paper investigates the steady, three-dimensional, incompressible MHD flow of a Carreau hybrid nanofluid over a linearly stretchable surface. The study focuses on the influence of various physical parameters, including thermal radiation, a uniform perpendicular magnetic field, Hall current, and heat sink/source, on the fluid flow characteristics and viscosity behavior of the Carreau HNF, which exhibits both shear-thickening and shear-thinning properties. The inclusion of the Hall current induces secondary (cross-flow) motion in the system. To evaluate the effects of these parameters on velocity and temperature distributions, heat transfer rate, and surface drag force, an advanced homotopy analysis method (HAM) integrated with Lie symmetry analysis is employed. The reliability of the HAM results is validated by comparison with numerical data from previous studies, showing excellent agreement. The findings reveal that shear-thinning fluids exhibit lower local skin friction and heat transfer rates compared to shear-thickening fluids. Also, it can be noticed that the presence of Hall current reduces the heat transmission rate.