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Static air flow resistivity

The static air flow resistivity, term commonly reduced to "resistivity", is one of the two most known parameters, with the open porosity, used to describe the acoustical behavior of porous materials. It characterizes, partly, the visco-inertial effects at low frequencies (when the viscous boundary layer is of the order of magnitude of the the characteritic size of the pores).
The models by Delany-Bazley [DB70] and Delany-Bazley-Miki [Mik90] use only this parameter to described the behavior of fibrous acoustical materials.
The static air flow resistivity is usually identified by the greek letter sigma, its dimension in the international system is N.s.m-4 or Pa.s.m-2.

loading... (1)

with

loading... (2)

where phi is the open porosity of the material, eta the dynamic viscosity of air (~1.84 x 10-5 N.s.m-2 at ambiant temperature and pressure conditions) and k_0 is the static permeability of the material.

Range of values

For acoustical materials, its range of values is approximately [103 106].

The resistivity can be directly measured. [ISO 9053]

References

[ISO 9053] European Committee for Standardization, Acoustics - Materials for acoustical applications - Determination of airflow resistance
[DB70] Delany M. E. and Bazley E. N., Acoustical properties of fibrous absorbent materials, Applied Acoustics 3, 1970, pp. 105-116
[Mik90] Miki Y., Acoustical properties of porous materials - Modifications of Delany-Bazley models, J. Acoust. Soc. Jpn (E). 11(1), 1990, pp. 19-24

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