毛细管中表面张力驱动的血流模型。

Jun Wang, Wei Huang, R. S. Bhullar, P. Tong
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引用次数: 2

摘要

表面张力驱动的血液流入毛细管,如在一些医疗设备,研究。在之前的文章中,我们考虑了一滴血进入毛细管的早期阶段,并在假设空气阻力可以忽略的情况下解析地解决了这个问题。在本笔记中,我们考虑一个有限长度的毛细管,其远端包含一个向大气打开的小窗口。结合血液动力学分析了毛细管内空气的动态混响。现有的计算程序用于求解Navier-Stokes方程。该界面的特征是血液和空气之间的表面张力,以及空气-血液界面与毛细管壁相遇的三相点处的接触角。结果告诉我们先前的简化分析有多好。新的数值计算结果表明,窗口越小,气动混响的影响越大。然而,即使窗口小到毛细管截面的4%,并且位于毛细管末端,界面到达窗口的时间差异也小于5%。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Modeling of surface-tension-driven flow of blood in capillary tubes.
Surface-tension-driven blood flow into a capillary tube, as in some medical devices, is studied. In a previous article, we considered the early stages of the entry flow from a drop of blood into a capillary, and solved the problem analytically under the assumption that the resistance of the air is negligible. In the present note we consider a capillary tube of finite length, with the far end containing a small window which opens to the atmosphere. The dynamic reverberation of the air in the capillary tube is analyzed in conjunction with the dynamics of the blood. Existing computing programs are used to solve the Navier-Stokes equations. The interface is characterized by the surface tension between the blood and the air, and the contact angle at the triple point where the air-blood interface meets the capillary tube wall. The results tell us how good our earlier simplified analysis is. The new numerical results show that the smaller the window, the larger is the effect of aerodynamic reverberation. However, even for a window as small as 4% of the capillary cross section, and located at the end of the capillary, the difference of the time of arrival of the interface at the window is less than 5%.
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