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Journal of Porous Media
IF: 1.49 5-Year IF: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v20.i9.20
pages 787-805

KNUDSEN'S PERMEABILITY CORRECTION FOR GAS FLOW IN TIGHT POROUS MEDIA USING THE R26 MOMENT METHOD

Yin-Bin Lu
MOE Key Laboratory of Thermo-Fluid Science and Engineering, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China
Gui-Hua Tang
MOE Key Laboratory of Thermo-Fluid Science and Engineering, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China
Q. Sheng
MOE Key Laboratory of Thermo-Fluid Science and Engineering, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China
Xiao-Jun Gu
Scientific Computing Department, STFC Daresbury Laboratory, Warrington WA4 4AD, United Kingdom
David R. Emerson
Scientific Computing Department, STFC Daresbury Laboratory, Warrington WA4 4AD, United Kingdom
Y. H. Zhang
Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glasgow G1 1XJ, United Kingdom

ABSTRACT

Gas in microchannels and tight porous media is often in a nonequilibrium state. The conventional thermodynamic models for fluid flow and heat transfer fail, i.e., the classical Navier-Stokes-Fourier equations, are no longer accurate or valid. In this situation, the pressure-driven gas flows in parallel microchannels, circular micropipes, and tight porous media are solved based on the regularized 26 moment equations in this paper. A higher-order approximation of more general correlation for rarefied gas flow called higher-order Knudsen's permeability is presented in both microchannels and tight porous media. In addition, the Klinkenberg's first- and second-order equations are proposed according to Taylor series' expansion of higher-order Knudsen's permeability. The comparisons are implemented between the present model and available experimental data.