Coupled MRT Lattice Boltzmann Study of Electrokinetic Mixing of Power-Law Fluids in Microchannels with Heterogeneous Surface Potential  

作　　者：Xuguang Yang Lei Wang Baochang Shi 

机构地区：[1]School of Mathematics and Computational Science,Hunan First Normal University,Changsha 410205,Hunan,China [2]Department of Applied Mathematics,The Hong Kong Polytechnic University,Hung Hom,Hong Kong [3]School of Mathematics and Physics,China University of Geosciences,Wuhan,430074,Hubei,China [4]School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,Hubei,China

出　　处：《Advances in Applied Mathematics and Mechanics》2018年第6期1478-1496,共19页应用数学与力学进展（英文）

基　　金：This work is partially supported by the Natural Science Foundation of China(Grants No.11626095);Postdoctoral Fellowships Scheme of the Hong Kong Polytechnic University(1-YW1D);the Natural Science Foundation of Hunan Province(Grants No.2017JJ3045).

摘　　要：The electrokinetic mixing,as a powerful technique in microfluidic devices,is widely used in many applications.In this study,a more general dynamic model,which consists of Poisson equation,Nernst-Planck equation and Navier-Stokes equations,is used to describe the electrokinetic mixing of non-Newtonian fluids in microchannels.Furthermore,a coupled multiple-relaxation-time(MRT)lattice Boltzmann(LB)framework is developed to solve this complicated multi-physics transport phenomenon.In numerical simulations,we mainly consider the effects of the arrangement of nonuniform surface potentials and the power-law index on the mixing efficiency and the volumetric flow rate.Numerical results show that the mixing efficiency and the volumetric flow rate of shear-thinning fluids are higher than that of shear-thickening fluids under the same condition.It is also shown that for both types of fluids,there should be a balance between the mixing and liquid transport in electrokinetic microfluidics.

关 键 词：Lattice Boltzmann method electrokinetic mixing non-Newtonian fluids 

分 类 号：O17[理学—数学]