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Two relaxation time lattice Boltzmann model for rarefied gas flows

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  • Esfahani, Javad Abolfazli
  • Norouzi, Ali

Abstract

In this paper, the lattice Boltzmann equation (LBE) with two relaxation times (TRT) is implemented in order to study gaseous flow through a long micro/nano-channel. A new relation is introduced for the reflection factor in the bounce-back/specular reflection (BSR) boundary condition based on the analytical solution of the Navier–Stokes equations. The focus of the present study is on comparing TRT with the other LBE models called multiple relaxation times (MRT) and single relaxation time (SRT) in simulation of rarefied gas flows. After a stability analysis for the TRT and SRT models, the numerical results are presented and validated by the analytical solution of the Navier–Stokes equations with slip boundary condition, direct simulation of Monte Carlo (DSMC) and information preservation (IP) method. The effect of various gases on flow behavior is also investigated by using the variable hard sphere (VHS) model through the symmetrical relaxation time.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:393:y:2014:i:c:p:51-61
    DOI: 10.1016/j.physa.2013.08.058
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    References listed on IDEAS

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    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.
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    Cited by:

    1. 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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