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三叶主动脉心脏瓣膜稳态湍流的数值模拟——II. 五个模型的结果

Numerical simulation of steady turbulent flow through trileaflet aortic heart valves--II. Results on five models.

作者信息

Stevenson D M, Yoganathan A P, Williams F P

出版信息

J Biomech. 1985;18(12):909-26. doi: 10.1016/0021-9290(85)90035-1.

DOI:10.1016/0021-9290(85)90035-1
PMID:4077859
Abstract

Turbulent flow simulations are run for five aortic trileaflet valve geometries, ranging from a valve leaflet orifice area of 1.1 cm2 (Model A1--very stenotic) to 5.0 cm2 (Model A5--natural valve). The simulated data compares well with experimental measurements made downstream of various aortic trileaflet valves by Woo (PhD Thesis, 1984). The location and approximate width and length of recirculation regions are correctly predicted. The less stenotic valve models reattach at the end of the aortic sinus region, 1.1 diameters downstream of the valve. The central jet exiting the less stenotic valve models is not significantly different from fully developed flow, and therefore recovers very quickly downstream of the reattachment point. The more stenotic valves disturb the flow to a greater degree, generating recirculation regions large enough to escape the sinuses and reattach further downstream. Peak turbulent shear stress values downstream of the aortic valve models which approximated prosthetic valves are 125 and 300 Nm-2, very near experimental observations of 150 to 350 Nm-2. The predicted Reynolds stress profiles also present the correct shape, a double peak profile, with the location of the peak occurring at the location of maximum velocity gradient, which occurs near the recirculation region. The pressure drop across model A2 (leaflet orifice area 1.6 cm2) is 20 mmHg at 1.6 diameters downstream. This compares well with values ranging from 19.5 to 26.2 mmHg for valves of similar orifice areas. The pressure drop decreases with decreasing valve stenosis, to a negligible value across the least stenotic valve model. Based on the good agreement between experimental measurements of velocity, shear stress and pressure drop, compared to the simulated data, the model has the potential to be a valuable tool in the analysis of heart valve designs.

摘要

针对五种主动脉三叶瓣几何形状进行了湍流模拟,瓣膜瓣口面积范围从1.1平方厘米(模型A1——非常狭窄)到5.0平方厘米(模型A5——自然瓣膜)。模拟数据与Woo(博士论文,1984年)在各种主动脉三叶瓣下游进行的实验测量结果吻合良好。再循环区域的位置以及大致宽度和长度都得到了正确预测。狭窄程度较低的瓣膜模型在主动脉窦区域末端、瓣膜下游1.1个直径处重新附着。从狭窄程度较低的瓣膜模型流出的中心射流与充分发展的流动没有显著差异,因此在重新附着点下游恢复得非常快。狭窄程度较高的瓣膜对流动的干扰更大,产生的再循环区域大到足以超出窦部并在更下游重新附着。近似人工瓣膜的主动脉瓣模型下游的峰值湍流剪切应力值分别为125和300 N/m²,非常接近150至350 N/m²的实验观测值。预测的雷诺应力剖面也呈现出正确的形状,即双峰剖面,峰值位置出现在最大速度梯度处,该位置出现在再循环区域附近。模型A2(瓣口面积1.6平方厘米)在下游1.6个直径处的压降为20 mmHg。这与类似瓣口面积瓣膜的19.5至26.2 mmHg的值吻合良好。压降随着瓣膜狭窄程度的降低而减小,在狭窄程度最低的瓣膜模型中压降可忽略不计。基于与模拟数据相比,速度、剪切应力和压降的实验测量结果之间的良好一致性,该模型有潜力成为分析心脏瓣膜设计的有价值工具。

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