Heat transfer rate and thermal energy analysis of MHD powell-eyring fluid in a permeable medium

This study is of significant importance as it focuses on exploring the intricate dynamics of viscous dissipation over a layered stretching surface in the context of MHD free and forced convective flow influenced by Powell-Eyring fluid. The primary aim of this research is to analyze the impact of heat emission and immersion phenomena on the flow, and to achieve this, conformable transformations of similarity have been pragmatic to adapt the governing equations from a set of non-linear PDE's into ODE's. The research methodology employed in this study involves numerical analysis using a 4th order Runge-Kutta formulation, implemented through MATLAB. The study precisely examines the stimulus of different flow constraints on velocity and temperature profiles. The outcomes of this investigation are presented through graphical representations, providing a comprehensive view of the flow characteristics. Furthermore, this study goes beyond the basic analysis by presenting important engineering metrics, the Nusselt number and skinfriction coefficient, explicitly across dissimilar variables. In conclusion, the findings of this research reveal as the Eyring-Powell fluid velocity profile rises, the temperature profile decreases, while the temperature profile rises with rising radiation.