Impacts of both the pressure work and activation energy on electro-osmotic flow of Eyring-Powell nanofluid

Abstract

This study focuses on the electro-osmotic flow of Eyring–Powell nanofluids through a non-Darcy porous medium, incorporating the effects of time-periodic variations. A comprehensive mathematical model is developed, considering key physical influences such as activation energy, pressure work, Hall currents, mixed convection, thermal radiation, electro-osmosis, viscous dissipation, Ohmic heating, and diffusion-thermo effects. Mass momentum, energy and nanoparticles concentration conservation principles are used to formulate the governing partial differential equations that are nonlinear which have been resolved by the explicit method of finite differences. A set of figures are presented to elucidate the impact of the problem's physical factors on the solutions found. In addition, the Sherwood number, Nusselt number, and skin friction coefficient are computed. An upsurge in Gebhart number and thermodynamic Rayleigh number lower both the fluid velocity and temperature while raising the nanoparticles concentration. Moreover, the increase in dimensionless Helmholtz–Smoluchowski velocity and Darcy number lead to a rise in Nusselt number while lowering the Sherwood number and skin friction coefficient. The importance of this kind of research therefore comes from its prospective applications in industry and biomedical engineering, as it may be utilized to dewater sediments and liquids from human tissues that are infected.