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Simulation of micro- and nano-scale flows via the lattice Boltzmann method

Author

Listed:
  • Zhou, Y.
  • Zhang, R.
  • Staroselsky, I.
  • Chen, H.
  • Kim, W.T.
  • Jhon, M.S.

Abstract

We use the lattice Boltzmann method (LBM) for analysis of high and moderate Knudsen number phenomena. Simulation results are presented for microscale Couette and Poiseuille flows. The slip velocity, nonlinear pressure drop, and mass flow rate are compared with previous numerical results and/or experimental data. The Knudsen minimum is successfully predicted for the first time within the LBM framework. These results validate the usage of the LBM based commercial, arbitrary geometry code PowerFLOW for simulating nanoscale problems.

Suggested Citation

  • Zhou, Y. & Zhang, R. & Staroselsky, I. & Chen, H. & Kim, W.T. & Jhon, M.S., 2006. "Simulation of micro- and nano-scale flows via the lattice Boltzmann method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(1), pages 68-77.
    • Handle: RePEc:eee:phsmap:v:362:y:2006:i:1:p:68-77
    DOI: 10.1016/j.physa.2005.09.037
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    References listed on IDEAS

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    1. Hudong Chen & Chris Teixeira & Kim Molvig, 1998. "Realization of Fluid Boundary Conditions via Discrete Boltzmann Dynamics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(08), pages 1281-1292.
    2. Hudong Chen & Chris Teixeira & Kim Molvig, 1997. "Digital Physics Approach to Computational Fluid Dynamics: Some Basic Theoretical Features," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 8(04), pages 675-684.
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    Cited by:

    1. Zarei, Amir & Karimipour, Arash & Meghdadi Isfahani, Amir Homayoon & Tian, Zhe, 2019. "Improve the performance of lattice Boltzmann method for a porous nanoscale transient flow by provide a new modified relaxation time equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    2. 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.

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