Time-periodic electroosmotic analysis of couple stress fluid in nanofluidic channels with slippages

Abstract

This paper investigates the electroosmotic flow of an incompressible couple stress fluid squeezed between two prolonged channels with slippage. An analytical solution is provided for two cases: Poiseuille flow and Couette flow. It investigated how dimensionless parameters affect electroosmotic velocities and volume flow rates, such as slippages, couple stress, frequency, wall zeta potential, and electrokinetic width parameters. In the results, the electroosmotic ‎velocity amplitudes, and volume flow rates decay to zero when the couple stress ‎parameter is zero. The effects of slip parameters, electrokinetic width, characteristic speed, and frequency on the electroosmotic velocity are similar to a Newtonian fluid. Nevertheless, there is a complex relationship between electroosmotic velocity and some of the abovementioned parameters. Previous literature has already resolved the Newtonian and non-Newtonian fluid versions of this problem. In this study, a novel issue involving electroosmotic flow in a couple stress fluid was addressed.