Investigation of thermal and flow characteristics of Casson fluid in porous medium under magnetohydrodynamic influences

The influence of an inclined magnetic field on the flow characteristics and thermal behavior of Casson fluid between two parallel rectangular porous channels is being investigated in this mathematical model. The investigation focuses on the determination of velocity profile, temperature distribution, and flow rate by applying analytical derivations, graphical interpretations, and numerical simulations. A comparative assessment between Casson and Newtonian fluid models is also presented, wherein graphical representations show the fundamental differences in velocity profile, thermal distribution, and flow rate with the variation of the Casson parameter, permeability parameter, porosity, Hartmann number, inclination angle, Brinkman number, and Reynolds number. The numerical findings validate the analytical outcomes and emphasize the non-Newtonian features of Casson fluids under magnetohydrodynamic circumstances.