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Lattice Boltzmann Simulation Of Gaseous Finite-Knudsen Microflows

Author

Listed:
  • ZHI-WEI TIAN

    (Faculty of Earth Resources, China University of Geosciences, Wuhan 430074, China)

  • SHENG CHEN

    (State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China)

  • CHU-GUANG ZHENG

    (State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China)

Abstract

In this study, microscale gaseous flows in the transitional regime have been investigated by lattice Boltzmann method (LBM). In the existing microflows LBM models, the Knudsen layer correction function has been introduced into the models. According to the kinetic theory rigorously, we choose a proper expression of correction function, and then determine its adjustable parameter. A substitute high-order boundary conditions treatment is adopted to capture the velocity slip, without any difficulties in computing the high-order velocity derivatives. The numerical results of two typical microflows show that: the present results agree with the analytical solutions better than the existing LBM simulations. Evident improvements can also be found, especially for finite Kn microflows.

Suggested Citation

  • Zhi-Wei Tian & Sheng Chen & Chu-Guang Zheng, 2010. "Lattice Boltzmann Simulation Of Gaseous Finite-Knudsen Microflows," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(06), pages 769-783.
    • Handle: RePEc:wsi:ijmpcx:v:21:y:2010:i:06:n:s0129183110015464
    DOI: 10.1142/S0129183110015464
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    Cited by:

    1. Goodarzi, Marjan & D’Orazio, Annunziata & Keshavarzi, Ahmad & Mousavi, Sayedali & Karimipour, Arash, 2018. "Develop the nano scale method of lattice Boltzmann to predict the fluid flow and heat transfer of air in the inclined lid driven cavity with a large heat source inside, Two case studies: Pure natural ," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 210-233.
    2. 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.
    3. 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.

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