一种用于血流的非线性流体悬浮模型。
A non-linear fluid suspension model for blood flow.
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 and Industrial Engineering, Northeastern University, Boston, MA 02115, USA.
出版信息
Int J Non Linear Mech. 2019 Mar;109:32-39. doi: 10.1016/j.ijnonlinmec.2018.11.002. Epub 2018 Nov 9.
Motivated by the complex rheological behaviors observed in small/micro scale blood vessels, such as the Fahraeus effect, plasma-skimming, shear-thinning, etc., we develop a non-linear suspension model for blood. The viscosity is assumed to depend on the volume fraction (hematocrit) and the shear rate. The migration of the red blood cells (RBCs) is studied using a concentration flux equation. A parametric study with two representative problems, namely simple shear flow and a pressure driven flow demonstrate the ability of this reduced-order model to reproduce several key features of the two-fluid model (mixture theory approach), with much lower computational cost.
受在小尺度/微尺度血管中观察到的复杂流变行为（如法厄效应、血浆撇取、剪切变稀等）的启发，我们开发了一种血液的非线性悬浮模型。假设粘度取决于体积分数（血细胞比容）和剪切速率。使用浓度通量方程研究红细胞（RBC）的迁移。对两个代表性问题（即简单剪切流和压力驱动流）进行的参数研究表明，该降阶模型能够以低得多的数据计算成本重现双流体模型（混合理论方法）的几个关键特征。
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