A porous media theory for characterization of membrane blood oxygenation devices
A porous media theory for characterization of membrane blood oxygenation devices
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DOI：
10.1007/s00231-013-1143-x
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发表时间：
2013-03
影响因子：
2.2
通讯作者：
Y. Sano;Jun Adachi;A. Nakayama
中科院分区：
文献类型：
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作者：
Y. Sano;Jun Adachi;A. Nakayama
多孔介质理论已被提出来表征与膜血液氧合装置相关的氧传输过程。首次提出了一种基于体积平均法的严格的数学方法，导出了一套完整的血流场和氧浓度场的控制方程。作为迈向完整三维数值分析的第一步，一维稳态情况下被认为是典型的膜式血液氧合器的情况下建模，并验证导出的方程。氧运输条款的相对幅度是明确的，引入一个无量纲的参数，它测量的距离氧气行进溶解在血液中相比，血液分散长度。发现这个无量纲数如此之大，以至于在大多数情况下可以忽略氧扩散项。对于具有足够大膜表面积的氧合器，发现血液流速和总氧传递速率之间存在简单的线性关系。一维解析结果与实验数据的比较表明了本文分析的合理性。
A porous media theory has been proposed to characterize oxygen transport processes associated with membrane blood oxygenation devices. For the first time, a rigorous mathematical procedure based a volume averaging procedure has been presented to derive a complete set of the governing equations for the blood flow field and oxygen concentration field. As a first step towards a complete three-dimensional numerical analysis, one-dimensional steady case is considered to model typical membrane blood oxygenator scenarios, and to validate the derived equations. The relative magnitudes of oxygen transport terms are made clear, introducing a dimensionless parameter which measures the distance the oxygen gas travels to dissolve in the blood as compared with the blood dispersion length. This dimensionless number is found so large that the oxygen diffusion term can be neglected in most cases. A simple linear relationship between the blood flow rate and total oxygen transfer rate is found for oxygenators with sufficiently large membrane surface areas. Comparison of the one-dimensional analytic results and available experimental data reveals the soundness of the present analysis.