[1] Song Xucheng, Li Pu, Zhu Rui,. Multi-relaxation-time lattice Boltzmann simulationof slide damping in micro-scale shear-driven rarefied gas flow [J]. Journal of Southeast University (English Edition), 2019, 35 (1): 30-35. [doi:10.3969/j.issn.1003-7985.2019.01.005]

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Multi-relaxation-time lattice Boltzmann simulationof slide damping in micro-scale shear-driven rarefied gas flow()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

35

Issue:

2019 1

Page:

30-35

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2019-03-30

Info

Title:

Multi-relaxation-time lattice Boltzmann simulationof slide damping in micro-scale shear-driven rarefied gas flow

Author(s):

Song Xucheng;  Li Pu;  Zhu Rui

School of Mechanical Engineering, Southeast University, Nanjing 211189, China

Keywords:

lattice Boltzmann method;  multi-relaxation-time;  slide film damping;  shear-driven oscillating flow

PACS:

O354

DOI:

10.3969/j.issn.1003-7985.2019.01.005

Abstract:

To investigate the slide film damping in the micro-scale shear-driven rarefied gas flows, an effective multi-relaxation-time lattice Boltzmann method(MRT-LBM)is proposed. Through the Knudsen boundary layer model, the effects of wall and rarefaction are considered in the correction of relaxation time. The results of gas velocity distributions are compared among the MRT, Monte Carlo model(DSMC)and high-order LBM, and the effects of the tangential momentum accommodation coefficient on the gas velocity distributions are also compared between the MRT and the high-order LBM. It is indicated that the amendatory MRT-LBM can unlock the dilemma of simulation of micro-scale non-equilibrium. Finally, the effects of the Knudsen number, the Stokes number, and the gap between the plates on the damping are researched. The results show that by decreasing the Knudsen number or increasing the Stokes number, the slide film damping increases in the transition regime; however, as the size of the gap increases, the slide film damping decreases substantially.

References:

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Memo

Memo:

Biographies: Song Xucheng(1993—), male, graduate; Li Pu(corresponding author), male, doctor, professor, seulp@seu.edu.cn.
Foundation item: The National Natural Science Foundation of China(No. 51375091).
Citation: Song Xucheng, Li Pu, Zhu Rui.Multi-relaxation-time lattice Boltzmann simulation of slide damping in micro-scale shear-driven rarefied gas flow[J].Journal of Southeast University(English Edition), 2019, 35(1):30-35.DOI:10.3969/j.issn.1003-7985.2019.01.005.

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