Insight into 3-D Darcy-Forchheimer micropolar fluid flow over a nonlinear elongated sheet

This research investigates the effects of thermal emission, temperature-dependent thermal energy generation/absorption under the application of an inclined magnetic force field on a 3-D micropolar Darcy-Forchheimer stream resting on a convectively heated and nonlinearly elongated sheet with wall slip. The study aims to understand how these factors influence fluid dynamics and heat transfer characteristics in this complex system. To accomplish this, adapting scaling analysis, the set of partial differential equations (PDEs) representing the physics of the problem is altered into a system of ordinary nonlinear differential equations (ODEs). The consequential ODEs are solved utilizing the shooting mechanism in conjunction with the Runge-Kutta Fehlberg algorithm. The visualization of results is discussed eliciting the impact of different parameters emerged in the analysis. It is perceived that the velocity distribution across the fluid is enhanced by the material parameter (β) and the thermal Grashof number (Gr). Augmentation of Forchheimer number (Fr) and porosity parameter (K) has a declining influence on velocities and the x and y components of drag coefficient. The temperature distribution across the fluid region is boosted with radiation parameter and Biot number. The heat transfer rate is positively correlated with the Prandtl number (Pr), while a contrasting effect is observed with the temperature-dependent heat source/sink (Q).