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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (3): 279-287.

• 论文 • 上一篇    下一篇

MICROCOSMIC BOUND THEOREM OF DAYCY’S LAW AND ITS APPLICATION

许友生1, 刘慈群2, 林机1   

  1. 1. Institude of Mathematics & Physics & Information Science, Zhejiang Normal University, Jinhua, Zhejiang 321004, P.R.China;
    2. Institude of Porous Flow and Fluid Mechanics, Academia Sinica, Langfang, Hebei 065007, P.R.China
  • 收稿日期:2002-04-01 修回日期:2003-12-06 出版日期:2004-03-18 发布日期:2004-03-18
  • 基金资助:
    the National Natural Science Foundation of China(10372094); the Natural Science Foundation of Zhejiang Province, China(M103082, M102053); the Science Foundation of Education Department of Zhejiang Province, China(20030871)

MICROCOSMIC BOUND THEOREM OF DAYCY’S LAW AND ITS APPLICATION

XU You-sheng1, LIU Ci-qun2, LIN Ji1   

  1. 1. Institude of Mathematics & Physics & Information Science, Zhejiang Normal University, Jinhua, Zhejiang 321004, P.R.China;
    2. Institude of Porous Flow and Fluid Mechanics, Academia Sinica, Langfang, Hebei 065007, P.R.China
  • Received:2002-04-01 Revised:2003-12-06 Online:2004-03-18 Published:2004-03-18
  • Supported by:
    the National Natural Science Foundation of China(10372094); the Natural Science Foundation of Zhejiang Province, China(M103082, M102053); the Science Foundation of Education Department of Zhejiang Province, China(20030871)

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摘要： By combining Chapman-Enskog expansion with the BGK approximation to Baltzmann equation and Navier-Stokes equation was obtained. And an expression of(Darcy’s)law was obtained through taking variable average over Navier-Stokes equation on some representative space in porous media,and finally an example was taken to prove its reliability.

Abstract: By combining Chapman-Enskog expansion with the BGK approximation to Baltzmann equation and Navier-Stokes equation was obtained. And an expression of(Darcy’s)law was obtained through taking variable average over Navier-Stokes equation on some representative space in porous media,and finally an example was taken to prove its reliability.

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