Exploration of flow irreversibility in electrically magnetized Eyring-Powell nanofluid along an inclined plate with viscous dissipation

The current work focuses on the nanofluid flow analysis of electrically conducting magneto-hydrodynamic Eyring Powell (EP) along an inclined plate. Thermophoresis and the effect of Brownian motion were included in this study using the Buongiorno nanofluid model. The governing equations were converted using appropriate Eyring Powell nanofluid flow transformations into a non-dimensional form. By using MATLAB software and bvp4c, these dimensionless equations were numerically solved. In addition, relevant prior work was compared to verify the method’s accuracy. The performance of Eyring Powell nanofluid is more effective when compared to that of Newtonian fluid properties, which adds the novelty of the current research that the Eyring-Powell nanofluid, electrically Magneto hydrodynamic (EMHD) flow, and inclined plate are all crucial for the overall performance of the manufacturing industries. It is also found that the electric field number strengthens the entropy profile and reduces the Bejan number, indicating the intricate nature of the phenomenon being investigated. The study revealed that when comparing the skin friction coefficient, [Formula: see text] (Newtonian case) and [Formula: see text] (Eyring Powell case) decrease as the Hartmann number increases. Also, there is an increase of 21.13% (Newtonian case) and 13.09% (Eyring Powell case) in the Nusselt number rate as the mixed convection parameter increases. The results of this study will help improve the theoretical understanding of numerous types of scientific examinations and engineering applications, particularly in the areas of recoverable systems, chemical processing of heavy metals, polymer extrusion processes, cooling of an infinite metallic plate, and thermal energy storage.