突然扩张通道和冠状动脉内血流的模拟。
Simulation of blood flow in a sudden expansion channel and a coronary artery.
作者信息
Wu Wei-Tao, Aubry Nadine, Antaki James F, Massoudi Mehrdad
机构信息
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, J.S., 210094, China.
Department of Mechanical Engineering, Tufts University, Medford, MA, 02155, USA.
出版信息
J Comput Appl Math. 2020 Oct;376. doi: 10.1016/j.cam.2020.112856. Epub 2020 Mar 19.
In this paper, we numerically simulate the flow of blood in two benchmark problems: the flow in a sudden expansion channel and the flow through an idealized curved coronary artery with pulsatile inlet velocity. Blood is modeled as a suspension (a non-linear complex fluid) and the movement of the red blood cell (RBCs) is modeled by using a concentration flux equation. The viscosity of blood is obtained from experimental data. In the sudden expansion flow, the predicted velocity profiles for two different Reynolds numbers (based on the inlet velocity) agree well with the available experiments; furthermore, the numerical results also show that after the sudden expansion there exists a RBCs depletion region. For the second problem, the idealized curved coronary artery, it is found that the RBCs move towards and concentrate near the inner surface where the viscosity is higher and the shear stress lower; this phenomenon may be related to the atherosclerotic plaque formation which usually occurs on the inside surface of the arteries.
在本文中，我们对两个基准问题中的血液流动进行了数值模拟：突然扩张通道中的流动以及具有脉动入口速度的理想化弯曲冠状动脉中的流动。血液被建模为一种悬浮液（一种非线性复杂流体），红细胞（RBCs）的运动通过浓度通量方程进行建模。血液的粘度从实验数据中获取。在突然扩张流动中，针对两个不同雷诺数（基于入口速度）预测的速度剖面与现有实验结果吻合良好；此外，数值结果还表明，在突然扩张之后存在一个红细胞耗尽区域。对于第二个问题，即理想化的弯曲冠状动脉，发现红细胞会朝着粘度较高且剪切应力较低的内表面移动并聚集；这种现象可能与通常发生在动脉内表面的动脉粥样硬化斑块形成有关。
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