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Volume 10, Issue 6
Coupled MRT Lattice Boltzmann Study of Electrokinetic Mixing of Power-Law Fluids in Microchannels with Heterogeneous Surface Potential

Xuguang Yang, Lei Wang & Baochang Shi

Adv. Appl. Math. Mech., 10 (2018), pp. 1478-1496.

Published online: 2018-09

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  • Abstract

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.

  • Keywords

Lattice Boltzmann method, electrokinetic mixing, non-Newtonian fluids.

  • AMS Subject Headings

76A05, 65Z05, 76W05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-10-1478, author = {Xuguang and Yang and and 19064 and and Xuguang Yang and Lei and Wang and and 19065 and and Lei Wang and Baochang and Shi and and 19066 and and Baochang Shi}, title = {Coupled MRT Lattice Boltzmann Study of Electrokinetic Mixing of Power-Law Fluids in Microchannels with Heterogeneous Surface Potential}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {10}, number = {6}, pages = {1478--1496}, abstract = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2017-0316}, url = {http://global-sci.org/intro/article_detail/aamm/12719.html} }
TY - JOUR T1 - Coupled MRT Lattice Boltzmann Study of Electrokinetic Mixing of Power-Law Fluids in Microchannels with Heterogeneous Surface Potential AU - Yang , Xuguang AU - Wang , Lei AU - Shi , Baochang JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 1478 EP - 1496 PY - 2018 DA - 2018/09 SN - 10 DO - http://doi.org/10.4208/aamm.OA-2017-0316 UR - https://global-sci.org/intro/article_detail/aamm/12719.html KW - Lattice Boltzmann method, electrokinetic mixing, non-Newtonian fluids. AB -

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.

Xuguang Yang, Lei Wang & Baochang Shi. (1970). Coupled MRT Lattice Boltzmann Study of Electrokinetic Mixing of Power-Law Fluids in Microchannels with Heterogeneous Surface Potential. Advances in Applied Mathematics and Mechanics. 10 (6). 1478-1496. doi:10.4208/aamm.OA-2017-0316
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