Static thermal permeability estimation
An estimation of the static thermal permeability,
,
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.
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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