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

Qiang Sheng, Gui-Hua Tang (), Xiao-Jun Gu, David R. Emerson and Yong-Hao Zhang
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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

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 11, 1-20

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.

Keywords: Nonequilibrium gas; thermal transpiration flow; moment method; Knudsen pump; 47.11.-j (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183114500612

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