Keller-box method analysis of MHD micropolar fluid flow in a porous duct with stretching walls and slip conditions

The present work deals with the free convective MHD micropolar fluid flow in a porous duct with stretching walls. This research explores the impacts of non-zero tangential slip velocity, thermal slip condition, and variable fluid properties on the velocity field, microrotation, and temperature profiles. We transform the governing equations into coupled nonlinear ordinary differential equations (ODEs) by employing appropriate similarity transformations. These equations are then solved using the second-order implicit finite difference scheme, precisely the Keller-box method. The study provides a comprehensive analysis of the physical behavior of various parameters influencing the flow phenomena, illustrated through graphical representations and further elaborated in the results and discussion section. The findings of this investigation align with previous research reported in the existing scientific literature. Notably, a backflow near the central line of the channel is observed due to the stretching walls, which can be mitigated by applying a strong external magnetic field. Additionally, the results indicate that an increase in the magnetic field strength leads to a decrease in fluid velocity while causing a temperature rise.