Rotating Electro-Osmotic Flow Of Non-Newtonian Fluids At High Zeta Potentials In Microchannel

In this paper,we study the velocity of the electro-osmotic flow of non-Newtonian fluids(including power-law fluids,third-grade fluids and Maxwell fluids)at high Zeta potentials in microchannel.The Cauchy's momentum equation,the Poisson-Boltzmann equation and linear Navier slip velocity model are used to establish our mathematical model.The system of non-linear partial differential equations is then reduced to a system of first order ordinary differential equations without Debye-Hiickel linearization and has been solved numerically using finite difference method.The paper is divided into five chapters.In chapter 1,we introduce the basic knowledge of electro-osmotic flow,non-Newtonian fluid,high Zeta potentials and finite difference method.In chapter 2,under the boundary condition of slip velocity,the rotating electro-osmotic flow of power-law fluids in a non-uniform microchannel is studied.The actual height of the microchannel shows a wave transformation in a rotating system,and the power-law fluids is moving driven by the horizontal electric field.The presence of a Navier slip boundary conditions has the effect of decreasing the conventional hydrodynamic drag or the viscosity of the fluid on a particle,but the change of velocity gradient have different effect in the viscosity of different kind of power-law fluids.We use the finite difference method to solve the partial differential equations of the math model.Based on the numerical solution,for different kind of power-low fluids,the influences of the shape of channel,EDL width,Zeta potential and rotating angular velocity on the velocity profiles are discussed in detail.Especially,when the flow behavior index n>1,with the increase of the viscosity of fluid,the parameters have different influence of fluid compare with previous research.By comparison with the relevant classical models,the effectiveness and correctness of present numerical method is proved.In chapter 3,the transient rotating electro-osmotic flow of third-grades fluids between micro-parallel plates is investigated numerically.Finally,the non-Newtonian parameter,EDL width,Zeta potential and the rotating Reynolds number on the EOF velocity profiles are discussed in detail.In chapter 4,the electro-osmotic flow of Maxwell fluids at High Zeta potential in a rotating microfluidic channel is considered.We analyze the EOF velocity evolution graphs obtained by the numerically solutions and investigate the influence on the relaxing time and the oscillatory nature of Maxwell fluids with different parameters.In conclusion,comprehensive summary of the above part and the outlook of our study is shown in chapter 5.