A 1D model based on Darcy's law is proposed to allow quantitative measurements of the penetration depth of water-glycerol-hexanediol mixtures in thin porous media using an Automatic Scanning Absorptometer (ASA). The limitations of this 1D model are discussed with respect to the nozzle dimensions and the liquid penetration depth. The penetration depth scales with liquid (viscosity and surface tension (η σ)) and media parameters (average pore radius (r)) as predicted by Darcy's law for Al2O3 disks that are inert to the liquid components. The penetration dynamics in PVDF and MCE filter membranes show a deviation from Darcy's law, indicating specific liquid – media interaction with at least one of the liquid components. Furthermore a linear time regime is observed in the early stages of liquid penetration for time scales much larger than for which inertia effects are expected. This can on the one hand indicate that either, the liquid does not move into the fibrous samples as a homogenous liquid, or that the porous material deforms during the liquid imbibition process. On the other hand, it could be an effect resulting from the complexity of the porous structure itself and an indication of surface film flow formation.

中文翻译：

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用自动扫描吸收仪定量测量薄多孔介质中的毛细管吸收

提出了基于达西定律的一维模型，以允许使用自动扫描吸收仪 (ASA) 对薄多孔介质中的水-甘油-己二醇混合物的渗透深度进行定量测量。该 1D 模型的局限性在喷嘴尺寸和液体渗透深度方面进行了讨论。穿透深度与液体（粘度和表面张力 (η σ)）和介质参数（平均孔半径 (r)）成比例，正如达西定律对对液体成分呈惰性的 Al2O3 圆盘所预测的那样。PVDF 和 MCE 过滤膜中的渗透动力学显示出与达西定律的偏差，表明特定的液体 - 介质与至少一种液体成分相互作用。此外，在液体渗透的早期阶段观察到线性时间制度，其时间尺度远大于预期的惯性效应。一方面，这可以表明液体不会作为均质液体进入纤维样品，或者多孔材料在液体吸收过程中变形。另一方面，它可能是由多孔结构本身的复杂性和表面膜流动形成的迹象所产生的影响。