Radially inflows and outflows of non-Newtonian Ree-Eyring fluid between two narrow disks with temperature-dependent viscosity

Abstract

The primary objective of this study is to investigate the flow characteristics of magnetized Ree-Eyring fluid between two closely spaced flat disks, considering the effects of thermal radiation and temperature-dependent viscosity. Given the extensive industrial and technological applications of disk flow, a closed-form solution for both temperature and velocity is derived using the Jacobi elliptic sine squared function. The influence of key governing parameters on temperature and velocity profiles, skin friction, and heat transfer rate is analyzed graphically. Additionally, streamlines are depicted to illustrate the flow behavior. Due to the impact of temperature-dependent viscosity, the parabolic velocity profiles for both accelerating and decelerating flows deviate from symmetry, exhibiting maximum velocity at the central region and minimum near the disk surfaces. Furthermore, fluid temperature increases with variations in the heat source/sink parameter, while it decreases with an increase in the radiation parameter.