Platelet deposition in stagnation point flow: an analytical and computational simulation
Platelet deposition in stagnation point flow: an analytical and computational simulation
复制标题
DOI：
10.1016/s1350-4533(01)00047-9
复制
发表时间：
2001-06-01
影响因子：
2.2
通讯作者：
Walker, PG
中科院分区：
文献类型：
--
作者：
David, T;Thomas, S;Walker, PG
建立了驻点流动中血小板粘附的数学和数值模型。该模型提供了轴对称流动的正确表示，并明确使用剪切速率来表征对流输送，以及用于模拟壁面血小板粘附的简单表面反应机制。解析解与全Navier-Stokes方程和解耦种守恒方程的数值积分解具有很好的一致性。研究表明，在模拟血小板粘附的恒定壁反应速率下，最大血小板通量出现在驻点流线处。这与在实验中发现的最大血小板沉积发生在驻点下游一段距离的结果直接相反。然而，如果选择壁面反应速率依赖于壁面剪切应力，则分析表明，最大血小板通量发生在驻点下游，提供了更现实的实验证据模型。该解析式适用于大量二维、轴对称的表面反应流动，其中壁面剪应力是已知的。(c) 2001年项目。Elsevier Science Ltd.出版。版权所有。
A mathematical and numerical model is developed for the adhesion of platelets in stagnation point flow. The model provides for a correct representation of the axi-symmetric flow and explicitly uses shear rate to characterise not only the convective transport but also the simple surface reaction mechanism used to model platelet adhesion at the wall surface. Excellent agreement exists between the analytical solution and that obtained by the numerical integration of the full Navier-Stokes equations and decoupled conservation of species equations. It has been shown that for a constant wall reaction rate modelling platelet adhesion the maximum platelet flux occurs at the stagnation point streamline. This is in direct contrast to that found in experiment where the maximum platelet deposition occurs at some distance downstream of the stagnation point. However, if the wall reaction rate is chosen to be dependent on the wall shear stress then the analysis shows that the maximum platelet flux occurs downstream of the stagnation point, providing a more realistic model of experimental evidence. The analytical formulation is applicable to a large number of two-dimensional and axi-symmetrical surface reaction flows where the wall shear stress is known a priori. (C) 2001 IPEM. Published by Elsevier Science Ltd. All rights reserved.