Alternating current magnetohydrodynamic electroosmotic flow of Maxwell fluids between two micro-parallel plates

In this article, alternating current (AC) magnetohydrodynamic (MHD) electroosmotic flow of incompressible Maxwell fluids between micro-parallel plates is investigated by using the method of separation of variables. Fluids were driven under the Lorentz force produced by the interaction of a vertical magnetic field and two horizontal electrical fields. The solution involves analytically solving the linearized Poisson-Boltzmann equation, together with the Navies-Stokes equation and the constitutive equation of Maxwell fluids. By numerical computation, the influences of Hartmann number Ha, Reynolds number Re, dimensionless relaxation time De and electrical field strength parameter S on the velocity profiles and volumetric flow rates are explained graphically.