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基于有限元法的人工肾流量调节机制的计算流体动力学(CFD)建模与仿真

Computational Fluid Dynamics (CFD) Modeling and Simulation of Flow Regulatory Mechanism in Artificial Kidney Using Finite Element Method.

作者信息

Yaqoob Tuba, Ahsan Muhammad, Hussain Arshad, Ahmad Iftikhar

机构信息

School of Chemical and Materials Engineering, National University of Sciences and Technology, Islamabad 44000, Pakistan.

出版信息

Membranes (Basel). 2020 Jul 3;10(7):139. doi: 10.3390/membranes10070139.

Abstract

There is an enormous need in the health welfare sector to manufacture inexpensive dialyzer membranes with minimum dialysis duration. In order to optimize the dialysis cost and time, an in-depth analysis of the effect of dialyzer design and process parameters on toxins (ranging from tiny to large size molecules) clearance rate is required. Mathematical analysis and enhanced computational power of computers can translate the transport phenomena occurring inside the dialyzer while minimizing the development cost. In this paper, the steady-state mass transport in blood and dialysate compartment and across the membrane is investigated with convection-diffusion equations and tortuous pore diffusion model (TPDM), respectively. The two-dimensional, axisymmetric CFD model was simulated by using a solver based on the finite element method (COMSOL Multiphysics 5.4). The effect of design and process parameters is analyzed by solving model equations for varying values of design and process parameters. It is found that by introducing tortuosity in the pore diffusion model, the clearance rate of small size molecules increases, but the clearance rate of large size molecules is reduced. When the fiber aspect ratio (db/L) varies from 900 to 2300, the clearance rate increases 37.71% of its initial value. The results also show that when the pore diameter increases from 10 nm to 20 nm, the clearance rate of urea and glucose also increases by 2.09% and 7.93%, respectively, with tolerated transport of albumin molecules.

摘要

卫生福利部门迫切需要生产出价格低廉且透析时间最短的透析器膜。为了优化透析成本和时间,需要深入分析透析器设计和工艺参数对毒素(从小分子到大分子)清除率的影响。数学分析和计算机增强的计算能力能够在尽量降低开发成本的同时,阐释透析器内部发生的传输现象。本文分别用对流扩散方程和曲折孔扩散模型(TPDM)研究了血液和透析液腔室以及跨膜的稳态质量传输。使用基于有限元方法的求解器(COMSOL Multiphysics 5.4)模拟二维轴对称CFD模型。通过求解设计和工艺参数不同取值的模型方程,分析设计和工艺参数的影响。研究发现,在孔扩散模型中引入曲折度后,小分子的清除率增加,但大分子的清除率降低。当纤维长径比(db/L)从900变化到2300时,清除率增加到其初始值的137.71%。结果还表明,当孔径从10纳米增加到20纳米时,尿素和葡萄糖的清除率分别增加2.09%和7.93%,同时白蛋白分子的传输量在可耐受范围内。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/87b6/7407372/98d0aa9e23a1/membranes-10-00139-g001.jpg

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