The electrokinetic flow of a micropolar fluid in a microtube with velocity and spin velocity slippage

This article examines a theoretical investigation of electrokinetic microstructure fluid flow in a circular microtube. It is based on a linearized Poisson–Boltzmann equation and a microstructure electrolyte of Eringen micropolar type. In our analysis, we assumed that the surface zeta potential was small due to the use of the Debye-Hückel approximation. The influences of velocity slip and spin velocity slip at the surface of the microtube, as well as overlapped electrical double layers are considered. The findings of the present study demonstrate that the micropolarity of fluid particles has a declining effect on volume transport, streaming potential, and energy transport efficiency, while velocity slip and spin velocity slip enhance these factors. It was found that when the ionic Péclet number decreases from 1 to 0.1, the volume transport decreases approximately 56%, the streaming potential decreases by around 334.6%, and the energy transport efficiency increases by approximately 88.2%. The physical quantities of this study are highlighted through graphs for different values of the relevant parameters and compared with the available data in the literature.