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Simulation of microchannel flow using the lattice Boltzmann method

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  • Chen, Sheng
  • Tian, Zhiwei

Abstract

For microchannel flow simulation, the slip boundary model is very important to guarantee the accuracy of the solution. In this paper, a new slip model, the Langmuir slip model, instead of the popularly used Maxwell slip model, is incorporated into the lattice Boltzmann (LB) method through the non-equilibrium extrapolation scheme to simulate the rarefied gas flow. Its feasibility and accuracy are examined by simulations of microchannel flow. Although, for simplicity, in this paper our recently developed LB model is used to solve the flow field, this does not prevent the present boundary scheme from easily incorporating other LB models, for example the more advanced collision model with multiple relaxation times. In addition, the existing non-equilibrium extrapolation LB boundary scheme for macroscopic flows can be recovered naturally from the present scheme when the Knudsen number Kn→0.

Suggested Citation

  • Chen, Sheng & Tian, Zhiwei, 2009. "Simulation of microchannel flow using the lattice Boltzmann method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(23), pages 4803-4810.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:23:p:4803-4810
    DOI: 10.1016/j.physa.2009.08.015
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    References listed on IDEAS

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    1. Ansumali, S. & Karlin, I.V. & Frouzakis, C.E. & Boulouchos, K.B., 2006. "Entropic lattice Boltzmann method for microflows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 359(C), pages 289-305.
    2. Szalmás, L., 2007. "Multiple-relaxation time lattice Boltzmann method for the finite Knudsen number region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 401-408.
    3. Tian, Zhi-Wei & Zou, Chun & Liu, Hong-Juan & Guo, Zhao-Li & Liu, Zhao-Hui & Zheng, Chu-Guang, 2007. "Lattice Boltzmann scheme for simulating thermal micro-flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 59-68.
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    Cited by:

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    2. Esfahani, Javad Abolfazli & Norouzi, Ali, 2014. "Two relaxation time lattice Boltzmann model for rarefied gas flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 51-61.
    3. Wang, Hui & Chen, Li & Qu, Zhiguo & Yin, Ying & Kang, Qinjun & Yu, Bo & Tao, Wen-Quan, 2020. "Modeling of multi-scale transport phenomena in shale gas production — A critical review," Applied Energy, Elsevier, vol. 262(C).
    4. Karimipour, Arash & Hemmat Esfe, Mohammad & Safaei, Mohammad Reza & Toghraie Semiromi, Davood & Jafari, Saeed & Kazi, S.N., 2014. "Mixed convection of copper–water nanofluid in a shallow inclined lid driven cavity using the lattice Boltzmann method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 150-168.
    5. Yuan, Yudong & Rahman, Sheik, 2016. "Extended application of lattice Boltzmann method to rarefied gas flow in micro-channels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 25-36.
    6. Tian, Zhiwei & Xing, Huilin & Tan, Yunliang & Gao, Jinfang, 2014. "A coupled lattice Boltzmann model for simulating reactive transport in CO2 injection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 155-164.
    7. Wang, Lingquan & Zeng, Zhong & Zhang, Liangqi & Qiao, Long & Zhang, Yi & Lu, Yiyu, 2018. "A new boundary scheme for simulation of gas flow in kerogen pores with considering surface diffusion effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 180-190.
    8. Chen, Sheng & Du, Rui, 2011. "Entropy generation of turbulent double-diffusive natural convection in a rectangle cavity," Energy, Elsevier, vol. 36(3), pages 1721-1734.

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