Darcy-Forchheimer Flow of Casson Nanofluids Towards a Spinning Disk with Non-Uniform Heat Source

Abstract

This study investigates the Darcy-Forchheimer flow of a Casson nanofluid over a spinning disk, incorporating the effects of a non-uniform heat source. Such flows are significant in various industrial and engineering applications, including cooling systems, lubrication technologies, and chemical processing involving complex fluids. The governing boundary layer equations, initially in partial differential form, were transformed into a set of ordinary differential equations (ODEs) using similarity transformations. These ODEs were then solved numerically using the bvp4c MATLAB solver. The influence of various physical parameters on the velocity, temperature, and concentration profiles was thoroughly analyzed and visualized through graphs. Additionally, the Nusselt and Sherwood numbers were computed and presented in tabular form to quantify heat and mass transfer rates.