A finite difference analysis of electroosmotic flow of a two-layer Jeffrey fluid in a vertical porous nanochannel

Abstract

In this paper, we discuss the unsteady two-layer electroosmotic flow (EOF) of the Jeffrey fluid in a vertical porous nanochannel, taking into account the effect of the heat transfer and alternating current (AC) electric fields. In this model, the two layers have different densities and viscosities. The finite difference method is used to solve the governing equations of electrical potential, velocity, and temperature. The results show that the Debye-Hückel parameter is significant in managing electroosmotic flow (EOF) because it affects the electrical double layer (EDL) compression and velocity gradients on the wall. The higher the radiation parameter, the lower the flow is transmitted, which indirectly influences the velocity of the flow as it alters the temperature gradient between the fluid layers. The findings provide useful recommendations when optimizing and designing microfluidic systems, especially lab-on-a-chip systems, drug delivery systems, and biomedical diagnostics that are operating under AC electric fields.