Effect of the three-dimensional microstructure on the sound absorption of foams: A parametric study.

The purpose of this work is to systematically study the effect of the throat and the pore sizes on the sound absorbing properties of open-cell foams. The three-dimensional idealized unit cell used in this work enables to mimic the acoustical macro-behavior of a large class of cellular solid foams. This study is carried out for a normal incidence and also for a diffuse field excitation, with a relatively large range of sample thicknesses. The transport and sound absorbing properties are numerically studied as a function of the throat size, the pore size, and the sample thickness. The resulting diagrams show the ranges of the specific throat sizes and pore sizes where the sound absorption grading is maximized due to the pore morphology as a function of the sample thickness, and how it correlates with the corresponding transport parameters. These charts demonstrate, together with typical examples, how the morphological characteristics of foam could be modified in order to increase the visco-thermal dissipation effects.

[1]  Luc Jaouen,et al.  Elastic and damping characterizations of acoustical porous materials: Available experimental methods and applications to a melamine foam , 2008 .

[2]  Viggo Tarnow,et al.  Airflow resistivity of models of fibrous acoustic materials , 1996 .

[3]  Raymond Panneton,et al.  Dynamic viscous permeability of an open-cell aluminum foam: Computations versus experiments , 2008 .

[4]  Yvan Champoux,et al.  Dynamic tortuosity and bulk modulus in air‐saturated porous media , 1991 .

[5]  F. Chevillotte Controlling sound absorption by an upstream resistive layer , 2012 .

[6]  Microstructure based model for sound absorption predictions of perforated closed-cell metallic foams. , 2010, The Journal of the Acoustical Society of America.

[7]  Morgan,et al.  Drag forces of porous-medium acoustics. , 1993, Physical review. B, Condensed matter.

[8]  Joel Koplik,et al.  Theory of dynamic permeability and tortuosity in fluid-saturated porous media , 1987, Journal of Fluid Mechanics.

[9]  Farid G. Mitri,et al.  Ultrasonic characterization of porous absorbing materials: Inverse problem , 2007 .

[10]  P. Gennes The Physics Of Foams , 1999 .

[11]  Claude Boutin,et al.  Periodic homogenization and consistent estimates of transport parameters through sphere and polyhedron packings in the whole porosity range. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  R. Hilfer,et al.  Permeability and conductivity for reconstruction models of porous media. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Arnaud Duval,et al.  Microstructure, transport, and acoustic properties of open-cell foam samples: Experiments and three-dimensional numerical simulations , 2011 .

[14]  A direct link between microstructure and acoustical macro-behavior of real double porosity foams. , 2013, The Journal of the Acoustical Society of America.

[15]  J. F. Allard,et al.  Propagation of sound in porous media , 1993 .

[16]  Olga Umnova,et al.  Acoustical properties of double porosity granular materials. , 2011, The Journal of the Acoustical Society of America.

[17]  Raymond Panneton,et al.  Bottom-up approach for microstructure optimization of sound absorbing materials. , 2008, The Journal of the Acoustical Society of America.

[18]  René Chambon,et al.  Dynamics of porous saturated media, checking of the generalized law of Darcy , 1985 .

[19]  Y. Bréchet,et al.  Absorptive properties of rigid porous media: application to face centered cubic sphere packing. , 2005, The Journal of the Acoustical Society of America.

[20]  Robert J. S. Brown,et al.  Connection between formation factor for electrical resistivity and fluid‐solid coupling factor in Biot’s equations for acoustic waves in fluid‐filled porous media , 1980 .

[21]  Frédéric Hecht,et al.  New development in freefem++ , 2012, J. Num. Math..

[22]  Denis Lafarge,et al.  Dynamic compressibility of air in porous structures at audible frequencies , 1997 .

[23]  Denis Weaire,et al.  Kelvin's foam structure: a commentary , 2008 .