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Simulation of thermal transpiration flow using a high-order moment method

Author

Listed:
  • Qiang Sheng

    (Key Laboratory of Thermo-Fluid Science and Engineering, Ministry of Education, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, P. R. China)

  • Gui-Hua Tang

    (Key Laboratory of Thermo-Fluid Science and Engineering, Ministry of Education, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, P. R. China)

  • Xiao-Jun Gu

    (Scientific Computing Department, STFC Daresbury Laboratory, Warrington WA4 4AD, UK)

  • David R. Emerson

    (Scientific Computing Department, STFC Daresbury Laboratory, Warrington WA4 4AD, UK)

  • Yong-Hao Zhang

    (Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glasgow G1 1XJ, UK)

Abstract

Nonequilibrium thermal transpiration flow is numerically analyzed by an extended thermodynamic approach, a high-order moment method. The captured velocity profiles of temperature-driven flow in a parallel microchannel and in a micro-chamber are compared with available kinetic data or direct simulation Monte Carlo (DSMC) results. The advantages of the high-order moment method are shown as a combination of more accuracy than the Navier–Stokes–Fourier (NSF) equations and less computation cost than the DSMC method. In addition, the high-order moment method is also employed to simulate the thermal transpiration flow in complex geometries in two types of Knudsen pumps. One is based on micro-mechanized channels, where the effect of different wall temperature distributions on thermal transpiration flow is studied. The other relies on porous structures, where the variation of flow rate with a changing porosity or pore surface area ratio is investigated. These simulations can help to optimize the design of a real Knudsen pump.

Suggested Citation

  • Qiang Sheng & Gui-Hua Tang & Xiao-Jun Gu & David R. Emerson & Yong-Hao Zhang, 2014. "Simulation of thermal transpiration flow using a high-order moment method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(11), pages 1-20.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:11:n:s0129183114500612
    DOI: 10.1142/S0129183114500612
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