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A new boundary scheme for simulation of gas flow in kerogen pores with considering surface diffusion effect

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  • Wang, Lingquan
  • Zeng, Zhong
  • Zhang, Liangqi
  • Qiao, Long
  • Zhang, Yi
  • Lu, Yiyu

Abstract

Navier–Stokes (NS) equations with no-slip boundary conditions fail to realistically describe micro-flows with considering nanoscale phenomena. Particularly, in kerogen pores, slip-flow and surface diffusion are important. In this study, we propose a new slip boundary scheme for the lattice Boltzmann (LB) method through the non-equilibrium extrapolation scheme to simulate the slip-flow considering surface diffusion effect. Meanwhile, the second-order slip velocity can be taken into account. The predicted characteristics in a two-dimensional micro-flow, including slip-velocity, velocity distribution along the flow direction with/without surface diffusion are present. The results in this study are compared with available analytical and reference results, and good agreements are achieved.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:495:y:2018:i:c:p:180-190
    DOI: 10.1016/j.physa.2017.12.028
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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. Prasianakis, N.I. & Chikatamarla, S.S. & Karlin, I.V. & Ansumali, S. & Boulouchos, K., 2006. "Entropic lattice Boltzmann method for simulation of thermal flows," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 72(2), pages 179-183.
    3. Arcidiacono, S. & Ansumali, S. & Karlin, I.V. & Mantzaras, J. & Boulouchos, K.B., 2006. "Entropic lattice Boltzmann method for simulation of binary mixtures," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 72(2), pages 79-83.
    4. 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.
    5. 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.
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    Cited by:

    1. Yang, Xu & Zhou, Wenning & Liu, Xunliang & Yan, Yuying, 2020. "A multiscale approach for simulation of shale gas transport in organic nanopores," Energy, Elsevier, vol. 210(C).

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