Viscous characteristic length estimation
Estimation from standing wave tube measurements
An estimation of the viscous characteristic length,
,
can be obtained from the measurements of the dynamic density
of a porous medium with prior knowledge
of the static air flow resistivity and the
open porosity (cf. [OPT02]).
The porous material is assumed to have a rigid, motionless skeleton.
The viscous characteristic length is estimated by analytical formulas from
Johnson, Koplik and Dashen model [JKD87] of visco-inertial 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.
Estimation from ultrasound measurements
References
[JKD87] Johnson D. L., Koplik J. and Dashen R.,
Theory of dynamic permeability and tortuosity in fluid-saturated porous media,
J. Fluid Mech., 176, 1987, pp. 379-402
[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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