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Effective transport parameters of porous media from 2D microstructure images

机译:来自2D微观结构图像的多孔介质的有效运输参数

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Transport in porous media is central in chemical engineering. Effective transport properties are required for evaluating and improving many processes and applications. A widely used model to describe transport in porous media is the Dusty-gas model. This model accounts for permeation, Knudsen-diffusion and binary diffusion. The model parameters are commonly determined from experiments, for instance, performed in a Wicke-Kallenbach cell. The parameters derived in this way are spatially averaged effective parameters. In this contribution, we present an approach to calculate transport parameters of the Dusty-Gas model from a cross-sectional image of the porous material, which often reduces experimental effort. The approach is also applicable to virtually designed materials for which structural information is available from simulations, but no physical sample has yet been synthesized. The method applied here is asymptotic homogenization, which allows lumping structural information on the micro-scale into effective transport properties. In a previous contribution, we successfully demonstrated the calculation of effective permeability for a porous hollow fiber from image data. Here we extend the work to Knudsen diffusion and binary diffusion. To validate our results, we compare model predictions for Knudsen-diffusion with experimental data from measurements in a Wicke-Kallenbach cell and predictions of the effective binary diffusion coefficient by comparison to literature data for a sphere packing.
机译:多孔介质的运输是化学工程中的中心。评估和改进许多流程和应用程序需要有效的运输属性。一种广泛使用的模型来描述多孔介质的运输是尘埃气体模型。该型号占渗透,knudsen-扩散和二进制扩散。例如,模型参数通常从实验中确定,例如,在WiCKe-Kallenbach单元中执行。以这种方式导出的参数是空间平均有效参数。在这一贡献中,我们提出了一种方法来计算来自多孔材料的横截面图像的尘埃气体模型的运输参数,这通常会降低实验努力。该方法还适用于实际设计的材料,用于模拟可从模拟中获得结构信息,但尚未合成实体样本。这里施加的方法是渐近均质化,其允许将微级的结构信息延伸为有效的运输特性。在以前的贡献中,我们成功地证明了从图像数据的多孔中空纤维的有效渗透性的计算。在这里,我们将工作扩展到knudsen扩散和二进制扩散。为了验证我们的结果,我们将knudsen扩散的模型预测与来自WiCKe-Kallenbach小区的测量结果的实验​​数据进行比较,并通过与球体包装的文献数据进行比较来预测有效的二元扩散系数。

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