Combined effects of frictional and joule heating on MHD nonlinear radiative Casson and Williamson ferrofluid flows with temperature dependent viscosity (Q1627731)

The authors' goal is to compare the behavior of Casson and Williamson fluids placed on a flat surface that may be stretched in both lateral directions. The fluid itself is methanol with \(Fe_{3}O_{4}\) particles. Joule heating and viscous dissipation act in the medium, and the magnetic field is applied in the direction orthogonal to a surface. To make the research, the authors use the similarity transformation and rewrite the PDEs of fluid movement and of heat balance as the system of nonlinear ODEs that can be solved by the Runge-Kutta method and by the shooting technique. This allows to obtain the components of fluid velocity in two lateral directions and the fluid temperature. The values of interest depend on many parameters such as the volume fraction, the shape of nanoparticles and so on. Numerous plots and tables obtained in MATLAB depict the influence of these parameters and help to understand the distinction between Williamson and Casson fluids.