Investigation of entropy generation in the magnetohydrodynamic electroosmotic peristaltic flow of Cu–Al₂O₃/H₂O hybrid nanofluid via a curved channel

Abstract This research introduces a model for the electro‐osmotically driven peristaltic transport of ) hybrid nanofluid. This novel approach amalgamates peristaltic motion with electro‐kinetic pumping, thereby amplifying the effectiveness of the micro‐pumps in the realms of nanotechnology and medical applications. In the study, Maxwell's thermal conductivity model is utilized alongside the consideration of several physical effects, encompassing Hall current, Joule heating induced by magnetic and electric forces, and effects of viscous dissipation. The governing equations for the flow problem are transformed into a dimensionless form. Subsequently, these equations are subject to reduction by imposing constraints based on long wavelengths and the regime of creeping flow. To obtain an analytical solution for the electric potential function, the Debye–Hückel approximation is elegantly employed in addressing the Poisson–Boltzmann equation. The subsequent equations are numerically solved, and the ensuing results are exhaustively examined, via their graphical depiction. The inquiry reveals that the inverse Debye–Hückel parameter and Joule heating parameters exert a notable influence on the hybrid nanofluid's temperature. Additionally, it is found that the irreversibility rate of the system can be managed by reducing the Joule heating parameter and by imposing an electric field‐oriented opposite to the fluid motion.