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Lattice Boltzmann scheme for simulating thermal micro-flow

Author

Listed:
  • Tian, Zhi-Wei
  • Zou, Chun
  • Liu, Hong-Juan
  • Guo, Zhao-Li
  • Liu, Zhao-Hui
  • Zheng, Chu-Guang

Abstract

Gaseous flow and heat transfer in micro-channels are simulated by the lattice Boltzmann method (LBM). Thermal LB model with viscous heat dissipation has been adopted in the simulation. A new boundary treatment is proposed based on macro variables in order to capture the velocity slip and temperature jump. The numerical results show the velocity and temperature profiles are in agreement with the analytic results in different cases, which exhibits the availability of this model and boundary treatment in describing thermal micro-flow with viscous heat effect. The variation rules of temperature jump with different parameters are also discussed in this study.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:385:y:2007:i:1:p:59-68
    DOI: 10.1016/j.physa.2007.01.021
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    References listed on IDEAS

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    1. Venturoli, Maddalena & Boek, Edo S., 2006. "Two-dimensional lattice-Boltzmann simulations of single phase flow in a pseudo two-dimensional micromodel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(1), pages 23-29.
    2. 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.
    3. G. H. Tang & W. Q. Tao & Y. L. He, 2004. "Lattice Boltzmann Method For Simulating Gas Flow In Microchannels," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 335-347.
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    Citations

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    Cited by:

    1. 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.
    2. Che Sidik, Nor Azwadi & Aisyah Razali, Siti, 2014. "Lattice Boltzmann method for convective heat transfer of nanofluids – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 38(C), pages 864-875.
    3. 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.
    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. 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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