This article presents an experimental and numerical parametric study of the acoustical properties of monodisperse open-cell solid foam. Solid foam samples are produced with very good control of both the pore size (from 0.2 to 1.0 mm) and the solid volume fraction (from 6% to 35%). Acoustical measurements are performed by the three-microphone impedance tube method. From these measurements, the visco-thermal parameters—namely, viscous permeability, tortuosity, viscous characteristic length, thermal permeability, and thermal characteristic length—are determined for an extensive number of foam samples. By combining Surface Evolver and finite-element method calculations, the visco-thermal parameters of body centered cubic (bcc) foam numerical samples are also calculated on the whole range of solid volume fraction (from 0.5% to 32%), compared to measured values and to theoretical model predictions [Langlois et al. (2019). Phys. Rev. E 100(1), 013115]. Numerical results are then used to find approximate formulas of visco-thermal parameters. A systematic comparison between measurements and predictions of the Johnson-Champoux-Allard-Lafarge (JCAL) model using measured visco-thermal parameters as input parameters, reveals a consistent agreement between them. From this first step, a calculation of the optimal microstructures maximizing the sound absorption coefficient is performed.

中文翻译：

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单分散开孔泡沫的声学：实验和数值参数研究

本文介绍了单分散开孔固体泡沫的声学特性的实验和数值参数研究。生产的固体泡沫样品可以很好地控制孔径（0.2至1.0 mm）和固体体积分数（6％至35％）。声音测量是通过三麦克风阻抗管方法进行的。从这些测量中，可以确定大量泡沫样品的粘热参数，即粘滞渗透率，曲折度，粘滞特征长度，热导率和热特征长度。通过将Surface Evolver和有限元方法相结合，还可以在整个体积分数（从0.5％到32％）的整个范围内计算体心立方（bcc）泡沫数值样本的粘热参数，等。（2019）。物理 修订版E 100（1），013115]。然后使用数值结果找到粘热参数的近似公式。使用测得的粘热参数作为输入参数，对Johnson-Champoux-Allard-Lafarge（JCAL）模型的测量和预测进行系统的比较，发现它们之间具有一致的一致性。从第一步开始，进行使吸声系数最大化的最佳微结构的计算。