Darcy渗流定律的微观界定及其应用

基金项目: 国家自然科学基金资助项目(10372094);浙江省自然科学基金资助项目(M103082;M102053);浙江省教育厅科学基金资助项目(20020871)

Microcosmic Bound Theorem of Daycy’s Law and Its Application

1.
Institude of Mathematics & Physics & Information Science, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China;

摘要: 将Boltzmann微观方程用Chapman-Enskog展开，结合BGK近似理论得到Navier-Stokes方程，通过在多孔介质的某种表征体元上的不同的方式平均Navier-Stokes方程后得出Darcy渗流定律的一种表示方法，并用实例证明了方法的可靠性．
- Darcy 定律 /
- Boltzmann方程 /
- Navier-Stokes方程 /
- Chapman-Enskog展开
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.
- Darcy’s law /
- Boltzmann equation /
- Navier-Stokes equation /
- Chapman-Enskog expansion

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