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Static thermal permeability estimation

An estimation of the static thermal permeability, k_0_p, can be obtained from the measurements of the dynamic bulk modulus of a porous medium with prior knowledge of the open porosity (cf. [OPT02]). The porous material is assumed to have a rigid, motionless skeleton. The parameters are then estimated, by analytical formulas, from Champoux-Allard [CA91] or Champoux-Allard-Lafarge [CA91,LLAT97] models of thermal effects.

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Top: schematic representation of the standing wave tube used to estimate the static thermal permeability as described in [OPT02].
Bottom: picture of such a tube with a internal diameter of 46 mm.

References

[CA91] Champoux Y. and Allard J.-F., Dynamic tortuosity and bulk modulus in air-saturated porous media, J. Appl. Phys., 70, 1991, pp. 1975-1979
[LLAT97] Lafarge D., Lemarinier P., Allard, J-F. and Tarnow V., Dynamic compressibility of air in porous structures at audible frequencies, J. Acoust. Soc. Am. 102 (4), 1997, pp. 1995-2006
[OPT02] X. Olny, R. Panneton and J. Tran-Van, An indirect acoustical method for determining intrinsic parameters of porous materials in Poromechanics II, proceedings of the 2nd Biot conference, Grenoble (France), 2002.

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