Magnetohydrodynamic Electroosmotic Flow Of Maxwell Fluids With Patterned Charged Surface In Narrow Confinements

As an important way to control microfluidics,electroosmotic flow has attracted wide attention of national and international researchers.We study magnetohydrodynamic electroosmotic flow of Maxwell fluids through two micro-parallel plates with patterned charged surface.The combined influences of two imposed time periodic electric fields?one is along lateral direction,and the other is along axial direction?and an external vertical magnetic field are taken into account.The two dimensional flow is driven by Lorentz force and electric field force.Upon the assumptions of the Debye-Hückel linearization,the analytical solutions of the stream function and velocity field are derived.The variations of velocity with the dimensionless relaxation time De,the Hartmann number Ha,the oscillating Reynolds number Re and the non-dimensional slip length B are depicted graphically.According to the distribution of flow field,the parameters that influence the generation of vortexes are discussed in detail.These parameters include the amplitudes of patterned zeta potentials??₁,?₂?,the coefficients??,??and the patterning frequency?m,n?of surface potentials.Furthermore,the particle trajectory is also tracked and the mixing efficiency of the neutral buoyant particles in the fluid is calculated by using the box counting method.