Numerical Computation of Magnetohydrodynamic Maxwell fluid flow with mixed convection and heat source effects across an inclined exponential stretching surface

This article analyzes about the features of magnetohydrodynamic Maxwell fluid flow over an inclined exponential stretching surface, considering the impacts of mixed convection and internal heat source. The flow governing partial differential equations are changed into a system of ordinary differential equations via use of similarity transformations. Runge–Kutta fourth-order approach, coupled with the shooting approach, is used to solve these equations numerically. Key parameters related to this study are investigated to determine their effects on velocity, temperature and concentration distributions through graphical and tabular representations. The results show that the fluid velocity and thermal boundary layer diminishes with enhanced inputs of magnetic field parameter. In addition, the mixed convection and the stretched surface’s inclination angle have a major impact on flow and heat transfer features. The results obtained from two methods are in close agreement and demonstrate the reliability and accuracy of the bvp4c solver in comparison to RK4 method. This study sheds light on various practical aspects such as polymer extrusion and heat transfer in industrial processes. The study also benefits aerospace cooling systems, microfluidic devices and environmental modeling, such as simulating glacier or lava flows. Overall, it offers solutions for advanced thermal regulation and material processing challenges.