Transient Electro-osmotic Flow Of Maxwell Fluids Through A Microtube

This paper represents an analytical solution of transient velocity for electroosmotic flow of Maxwell fluids driven by direct current and alternating current through a mirotube using the method of Laplace transform. The solution involves analytically solving the linearlized Poisson-Boltzmann equation, together with the Cauchy momentum equation and the Maxwell constitutive equation. By numerical computations, the influence of normalized relaxation time λ1on transient EOF velocity is investigated for different parametric values of transient Electroosmotic flow for a mirotube. The results show that, driven by direct current (DC), the electric velocity gradually tends to steady status with the increase of time for a given dimensionless electric width K. Driven by alternating current (AC), the fluctuation of the electro-osmotic velocity increases with the increases of relaxation time λ1at the same time. Velocity amplitude changes apparently over time for the same relaxation time λ1. The velocity amplitude of electro-osmotic flows decreases with the increase of Reynolds number Re for a given K and relaxation time λ1at the same time. Velocity amplitude changes apparently over time for the same Reynolds number Re.