| MICROCOSMIC BOUND THEOREM OF DAYCY＇S LAW AND ITS APPLICATION |
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| 引用本文： | 许友生,刘慈群,林机.MICROCOSMIC BOUND THEOREM OF DAYCY＇S LAW AND ITS APPLICATION[J].应用数学和力学(英文版),2004,25(3):279-287. |
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| 作者姓名： | 许友生 刘慈群 林机 |
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| 作者单位： | [1]InstitudeofMathematics＆Physics＆InformationScience,ZhejiangNormalUniversity,Jinhua,Zhejiang321004,P.R.China [2]InstitudeofPorousFlowandFluidMechanics,AcademiaSinica,Langfang,Hebei065007,P.R.China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina ( 1 0 3 72 0 94)，theNaturalScienceFoundationofZhejiangProvince,China(M1 0 3 0 82 ,M1 0 2 0 53 )，theScienceFoundationofEducationDepartmentofZhejiangProvince,China ( 2 0 0 3 0 871 ) |
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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.
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| 关 键 词： | 狄拉克定律 玻尔兹曼方程 Navier-Stokes方程 流体力学 查普曼-恩斯柯展开 |
| 收稿时间： | 2002-04-01 |
MICROCOSMIC BOUND THEOREM OF DAYCY'S LAW AND ITS APPLICATION |
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| XU You-sheng ,LIU Ci-qun ,LIN Ji.MICROCOSMIC BOUND THEOREM OF DAYCY''''S LAW AND ITS APPLICATION[J].Applied Mathematics and Mechanics(English Edition),2004,25(3):279-287. |
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| Authors: | XU You-sheng LIU Ci-qun LIN Ji |
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| Institution: | 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 |
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| 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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| Keywords: | Darcy's law Boltzmann equation Navier-Stokes equation Chapman-Enskog expansion |
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