2011
DOI: 10.1121/1.3644915
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Acoustical properties of double porosity granular materials

Abstract: Granular materials have been conventionally used for acoustic treatment due to their sound absorptive and sound insulating properties. An emerging field is the study of the acoustical properties of multiscale porous materials. An example of these is a granular material in which the particles are porous. In this paper, analytical and hybrid analytical-numerical models describing the acoustical properties of these materials are introduced. Image processing techniques have been employed to estimate characteristic… Show more

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Cited by 78 publications
(58 citation statements)
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“…Unfortunately, for the sample used, the transition between isothermal and adiabatic behavior within the porous material probably lies within the measurement bandwidth. Measurements of the effective bulk modulus on smaller lead shot (1 mm diameter) using standard acoustic techniques 6 showed good correspondence between the expected isothermal value ð1=eÞ up until 300 Hz, while at higher frequencies it approached the adiabatic value. 7 Assuming that the transition frequency between isothermal and adiabatic behavior is inversely proportional to the radius squared, 8 the 3 mm lead shot used in the activated carbon study is modeled as isothermal below 33 Hz and adiabatic above.…”
Section: Lead Shotmentioning
confidence: 99%
“…Unfortunately, for the sample used, the transition between isothermal and adiabatic behavior within the porous material probably lies within the measurement bandwidth. Measurements of the effective bulk modulus on smaller lead shot (1 mm diameter) using standard acoustic techniques 6 showed good correspondence between the expected isothermal value ð1=eÞ up until 300 Hz, while at higher frequencies it approached the adiabatic value. 7 Assuming that the transition frequency between isothermal and adiabatic behavior is inversely proportional to the radius squared, 8 the 3 mm lead shot used in the activated carbon study is modeled as isothermal below 33 Hz and adiabatic above.…”
Section: Lead Shotmentioning
confidence: 99%
“…Liang et al [6] and Atalla et al [7] conducted quantitative analysis for acoustic characteristics of porous materials with Kolmogorov's turbulence theory, and the model was adopted to analyze wave propagation in the porous metal. Chevillotte et al [8] and Venegas et al [9] studied the effects of the three-dimensional microstructure on the sound absorption of foams, and the transport and sound absorption properties were numerically studied as a function of throat size, pore size, and sample thickness. Yang et al [10] and Kino [11] modified the Johnson-Allard model by introducing a correction factor, which could efficiently improve the prediction accuracy of the sound absorption coefficient of the porous metal.…”
Section: Introductionmentioning
confidence: 99%
“…In addition, the slope of the acoustic absorption at low frequencies is steeper when the shell is microporous. This is a typical result for a double porosity medium 21,22 . The inter-scale ratio between the mesopore radius r p (air gap between the shells), and the micropore radius r µ , ε 0 = r µ /r p = 49.8.10 −3 , is small enough to be in line with the high-permeability contrast where the effects are strongest.…”
Section: Elastic Porous Shellsmentioning
confidence: 85%