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Comparison Of Gas Slip Models With Solutions Of Linearized Boltzmann Equation And Direct Simulation Of Monte Carlo Method

Author

Listed:
  • G. H. TANG

    (State Key Laboratory of Multiphase Flow, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, 710049, China)

  • Y. L. HE

    (State Key Laboratory of Multiphase Flow, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, 710049, China)

  • W. Q. TAO

    (State Key Laboratory of Multiphase Flow, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, 710049, China)

Abstract

Analytical solutions of the Navier–Stokes equation based on a locally fully-developed flow assumption with various gas slip models are presented and comparisons for velocity profile, flow rate, friction factor, and pressure distribution are performed. The effect of the second-order coefficient in the slip boundary condition becomes significant as the Knudsen number increases. Most slip models are limited to slip regime or marginally transition regime and break down aroundKn = 0.1while Sreekanth's model, followed by Mitsuya's model, gives a good agreement with the linearized Boltzmann solutions from slip regime up toKn = 2for flow rate and friction factor predictions. These two models should be of great use for slip flow analysis in micro-electro-mechanical systems (MEMS) and, in particular, in situations where the flow rate and flow resistance are of interest.

Suggested Citation

  • G. H. Tang & Y. L. He & W. Q. Tao, 2007. "Comparison Of Gas Slip Models With Solutions Of Linearized Boltzmann Equation And Direct Simulation Of Monte Carlo Method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 203-216.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:02:n:s0129183107010383
    DOI: 10.1142/S0129183107010383
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