Microcosmic Bound Theorem of Daycy’s Law and Its Application

XU You-sheng; LIU Ci-qun; LIN Ji

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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, 2004, 25(3): 253-261.

Citation:

XU You-sheng, LIU Ci-qun, LIN Ji. Microcosmic Bound Theorem of Daycy’s Law and Its Application[J]. Applied Mathematics and Mechanics, 2004, 25(3): 253-261.

Citation:

XU You-sheng, LIU Ci-qun, LIN Ji. Microcosmic Bound Theorem of Daycy’s Law and Its Application[J]. Applied Mathematics and Mechanics, 2004, 25(3): 253-261.

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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;

Received Date: 2002-04-01
Rev Recd Date: 2003-12-06
Publish Date: 2004-03-15

Abstract

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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References(10)

References

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