Measuring flow resistivity of porous materials at low frequencies range via acoustic transmitted waves

Zine El Abiddine Fellah (1) , Mohamed Fellah (2) , Naima Sebaa (3) , Walter Lauriks (4) , Claude Depollier (3)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
2 Laboratoire de Physique Théorique, Faculté des Sciences, Département de Physique, Université Abou Bekr Belkaid de Tlemcen, Algérie
3 LAUM - Laboratoire d'Acoustique de l'Université du Mans
4 Laboratory of Acoustics and Thermal Physics

An acoustic transmissivity method is proposed for measuring flow resistivity of porous materials having rigid frame. Flow resistivity of porous material is defined as the ratio between the pressure difference across a sample and the velocity of flow of air through that sample per unit cube. The proposed method is based on a temporal model of the direct and inverse scattering problem for the diffusion of transient low-frequency waves in a homogeneous isotropic slab of porous material having a rigid frame. The transmission scattering operator for a slab of porous material is derived from the response of the medium to an incident acoustic pulse. The flow resistivity is determined from the solution of the inverse problem. The minimization between experiment and theory is made in the time domain. Tests are performed using industrial plastic foams. Experimental and numerical results, and prospects are discussed.

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Zine El Abiddine Fellah, Mohamed Fellah, Naima Sebaa, Walter Lauriks, Claude Depollier. Measuring flow resistivity of porous materials at low frequencies range via acoustic transmitted waves. Journal of the Acoustical Society of America, 2006, 119 (4), pp.1926-1928. ⟨10.1121/1.2179749⟩. ⟨hal-00105780⟩