A numerical study was conducted to analyze fluid flow within hollow fiber membranes of the artificial lungs. The hollow fiber bundle was approximated using a porous media model. In addition, the transport equations were solved using the finite-element formulation based on the Galerkin method of weighted residuals. Comparisons with previously published work on the basis of special cases were performed and found to be in excellent agreement. A Newtonian viscous fluid model for the blood was used. Different flow models for porous media, such as the Brinkman-extended Darcy model, Darcy's law model, and the generalized flow model, were considered. Results were obtained in terms of streamlines, velocity vectors, and pressure distribution for various Reynolds numbers and Darcy numbers. The results from this investigation showed that the pressure drop across the artificial lung device increased with an increase in the Reynolds number. In addition, the pressure drop was found to increase significantly for small Darcy numbers.

中文翻译：

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多孔介质在模拟全人工肺中空纤维膜内流体流动中的作用

进行了数值研究以分析人工肺的中空纤维膜内的流体流动。使用多孔介质模型来近似中空纤维束。此外，使用基于加权残差的伽辽金方法的有限元公式求解传输方程。在特殊情况的基础上与以前发表的工作进行了比较，发现非常一致。使用了血液的牛顿粘性流体模型。考虑了多孔介质的不同流动模型，如 Brinkman-extended Darcy 模型、Darcy 定律模型和广义流动模型。结果是根据各种雷诺数和达西数的流线、速度矢量和压力分布获得的。这项调查的结果表明，人工肺装置的压降随着雷诺数的增加而增加。此外，发现小达西数的压降显着增加。