Knudsen's permeability correction for gas flow in tight porous media using the R26 moment method

Yin-Bin Lu, Gui-Hua Tang, Q. Sheng, Xiao-Jun Gu, David R. Emerson, Y. H. Zhang

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Pages (from-to)787-805
Number of pages19
JournalJournal of Porous Media
Volume20
Issue number9
DOIs
Publication statusPublished - 30 Sep 2017

Keywords

  • apparent permeability
  • gas rarefaction
  • Klinkenberg effect
  • Knudsen number

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