Fluid permeability of solid foams is a crucial parameter to control transport phenomena in numerous engineering applications, such as heat exchangers or filters for example. Open-cell foams with monodisperse pore diameter ranging from 200 to 1000 µm and solid volume fraction ranging from 0.1 to 0.38 are produced and Darcy permeability is measured. The permeability divided by the square of the pore size shows an exponential decay as a function of solid volume fraction. Surprisingly, existing models do not capture this exponential decay and actually they predict permeability values significantly larger than the measured values. The observed exponential decay is then successfully described by using models based on the viscous dissipation occurring through the apertures that connect the foam pores and by accounting for both the mean size of the apertures and the mean number of apertures per pore.

中文翻译：

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单分散固体泡沫的渗透性

固体泡沫的流体渗透性是控制许多工程应用（例如热交换器或过滤器）中传输现象的关键参数。生产单分散孔径范围为 200 至 1000 µm 且固体体积分数范围为 0.1 至 0.38 的开孔泡沫，并测量达西渗透率。渗透率除以孔径的平方显示出作为固体体积分数的函数的指数衰减。令人惊讶的是，现有模型没有捕捉到这种指数衰减，实际上它们预测的渗透率值明显大于测量值。