Reproducibility experiments on measuring acoustical properties of rigid-frame porous media (round-robin tests)

2007 ◽  
Vol 122 (1) ◽  
pp. 345-353 ◽  
Author(s):  
Kirill V. Horoshenkov ◽  
Amir Khan ◽  
François-Xavier Bécot ◽  
Luc Jaouen ◽  
Franck Sgard ◽  
...  
Keyword(s):  
Porous Media ◽  
Round Robin ◽  
Acoustical Properties ◽  
Rigid Frame

A three-parameter analytical model for the acoustical properties of porous media

2019 ◽  
Vol 145 (4) ◽  
pp. 2512-2517 ◽  
Author(s):  
Kirill V. Horoshenkov ◽  
Alistair Hurrell ◽  
Jean-Philippe Groby
Keyword(s):  
Porous Media ◽  
Analytical Model ◽  
Acoustical Properties

Analytical Solution of Biot's Equations Based on Potential Functions Method

2015 ◽  
Vol 137 (5) ◽  
Author(s):  
Abolfazl Hasani Baferani ◽  
Abdolreza Ohadi
Keyword(s):  
Porous Media ◽  
Analytical Solution ◽  
Differential Equations ◽  
Porous Materials ◽  
Natural Frequency ◽  
Natural Frequencies ◽  
Potential Functions ◽  
Basic Field ◽  
Acoustical Properties ◽  
Biot’S Equations

In this paper, a new analytical solution for Biot's equations is presented based on potential functions method. The primary coupled Biot's equations have been considered based on fluid and solid displacements in three-dimensional (3D) space. By defining some potential functions, the governing equations have been improved to a simpler form. Then the coupled Biot's equations have been replaced with four-decoupled equations, by doing some mathematical manipulations. For a case study, it is assumed that the incident wave is in xy-plane and for specific boundary conditions; the partial differential equations are converted to ordinary differential equations and solved analytically. Then two foams with different properties have been considered, and acoustical properties of these foams due to the new developed method have been compared with the corresponding results presented by transfer-matrix method. Good agreement between results verifies the new presented solution. Based on the potential function method, not only the acoustical properties of porous materials are calculated, but also the analytical values of all basic field variables, such as pressure, fluid, and solid displacements, are obtained for all points in the porous media. Furthermore, fundamental features, such as damped and undamped natural frequencies, and damping coefficient of porous materials are calculated by considering presented results. The obtained results show that maximum values of field variables, such as pressure, fluid, and solid displacements, happen at the damped natural frequencies of the porous media, as expected. By increasing material thickness, the effect of damping of porous material on damped natural frequency decreases. Damping decreases the first natural frequency of the foam up to 8.5%.

scholarly journals Benchmarks for microstructure-based modelling of sound absorbing rigid-frame porous media

2020 ◽  
Vol 483 ◽  
pp. 115441 ◽  
Author(s):  
Tomasz G. Zieliński ◽  
Rodolfo Venegas ◽  
Camille Perrot ◽  
Milan Červenka ◽  
Fabien Chevillotte ◽  
...  
Keyword(s):  
Porous Media ◽  
Rigid Frame

Time-domain equations for sound propagation in rigid-frame porous media (L)

2004 ◽  
Vol 116 (4) ◽  
pp. 1889-1892 ◽  
Author(s):  
D. Keith Wilson ◽  
Vladimir E. Ostashev ◽  
Sandra L. Collier
Keyword(s):  
Porous Media ◽  
Time Domain ◽  
Sound Propagation ◽  
Rigid Frame
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