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Geometry effects on sound in porous media

机译:多孔介质中声音的几何影响

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摘要

The problem of sound propagation in rigid porous media is investigated. Two so-called scaling functions are introduced to describe the dynamic viscous and thermal interaction of the pore fluid and the porous structure. These scaling functions are characterized by the viscous and thermal permeabilities k{sub}0 and k'{sub}0, the viscous and thermal tortuosities α{sub}∞, α{sub}0, and α'{sub}0, and the characteristic length scales Λ andΛ'. These parameters can be numerically evaluated from steady-state descriptions. For a pore geometry consisting of an arrangement of cylinders, the characteristic parameters are presented. The full microscopic dynamic flow and heat problems for this configuration were solved, averaged, and compared with the scaling functions. We found that for this configuration the scaling functions gave an accurate description of the oscillatory flow and heat phenomena.
机译:研究了刚性多孔介质中声音传播的问题。引入了两个所谓的缩放功能以描述孔隙流体和多孔结构的动态粘性和热相互作用。这些缩放功能的特征在于粘性和热渗透率k {sub} 0和k'{sub} 0,粘性和热曲折α{sub}∞,α{sub} 0和α'{sub} 0,以及特征长度尺度λ和λ'。这些参数可以在数值上从稳态描述中评估。对于由气缸布置组成的孔几何形状,提出了特征参数。解决了该配置的全显微动态流量和热问题,平均,并与缩放功能进行比较。我们发现,对于这种配置,缩放功能对振荡流和热现象进行了准确的描述。

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