Magnetohydrodynamic electro-osmotic flow of Maxwell fluids with patterned charged surface in narrow confinements

Abstract

We study the magnetohydrodynamic electro-osmotic flow of Maxwell fluids through two microparallel plates with patterned charged surfaces. The combined influences of two imposed time periodic electric fields (one along the lateral direction and the other along the axial direction) and an external vertical magnetic field are taken into account. The flow is driven by Lorentz force and electric field force and is 2D due to charge modulated surfaces. Upon the assumptions of the Debye–Hückel linearization, the analytical solutions of the stream function and velocity field are derived. The variations in velocity with the dimensionless relaxation time De, the Hartmann number Ha, and the oscillating Reynolds number Re are depicted graphically. Furthermore, the parameters that influence the generation of vortexes in the flow field are also discussed.