On the influence of spatial correlations on sound propagation in concentrated solutions of rigid particles

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作者：
Baudoin, Michael [1 ]
Thomas, Jean-Louis [2 ]
Coulouvrat, François [3 ]
机构：
[1] Université Pierre et Marie Curie-Paris 6, Institut Jean Le Rond d'Alembert (IJLRDA), UMR CNRS 7588, 4 place Jussieu, 75252 Paris Cedex 05, France
[2] INSP, CNRS, Université Pierre et Marie Curie-Paris 6, 4 place Jussieu, Paris 75005, France
[3] IJLRDA, CNRS, Université Pierre et Marie Curie-Paris 6, 4 place Jussieu, Paris 75005, France
来源：
| 1600年 / Acoustical Society of America卷 / 123期
关键词：
In a previous paper [J. Acoust. Soc. Am. 121; 3386-3387; (2007); a self-consistent effective medium theory has been used to account for hydrodynamic interactions between neighboring rigid particles; which considerably affect the sound propagation in concentrated solutions. However; spatial correlations were completely left out in this model. They correspond to the fact that the presence of one particle at a given position locally affects the location of the other ones. In the present work; the importance of such correlations is demonstrated within a certain frequency range and particle concentration. For that purpose; spatial correlations are integrated in our two-phase formulation by using a closure scheme similar to the one introduced by Spelt [Attenuation of sound in concentrated suspensions theory and experiments; J. Fluid Mech. 430; 51-86; (2001)]; Then; the effect is shown through a careful comparison of the results obtained with this model; the ones obtained with different self-consistent approximations and the experiments performed by Hipp [Acoustical characterization of concentrated suspensions and emulsions. 2. Experimental validation; Langmuir; 18; 391-404 (2002)]. With the present formulation; an excellent agreement is reached for all frequencies (within the limit of the long wavelength regime) and for concentrations up to 30% without any adjustable parameter. © 2008 Acoustical Society of America;
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