Bidirectional Stabilized Non‐Newtonian Fluid Flow With Prescribed Heat Mechanism and Thermal Radiation in Stretching Sheet

ABSTRACT This study investigates the behavior of non‐Newtonian fluid flow under magnetohydrodynamic (MHD) conditions, focusing on heat radiation effects during viscous flow over an elongated surface with penetrable boundaries. This research is important due to the increasing applications of non‐Newtonian fluids in manufacturing and technical fields, necessitating advanced modeling techniques to accurately simulate their behavior under MHD conditions. To address the limitations of previous analyses that inadequately accounted for electrical field effects, we propose the Impetus Proliferate Method to enhance fluid flow velocity and establish better control over heat dissipation in practical devices like phase change thermal systems and power heat flux systems. The study employs the Novel Perpetuate Reconciliation Approach to manage heat transfer effectively within the elongated medium, revealing that heat transfer decreases as boundary layer thickness over the porous medium increases. Additionally, the Cogency Fortification Method significantly enhances the stability of non‐Newtonian fluid flow over the extended sheet. The implementation of these methodologies in MATLAB Simulink provides a robust simulation framework, offering novel insights into the dynamic behavior of non‐Newtonian fluids in MHD contexts and improving upon existing modeling techniques by integrating electrical field effects and deepening the understanding of heat transfer phenomena. Finally, the proposed model's accuracy is said to be 95%.