Leuprecht A, Perktold K
Institute of Mathematics, Technical University Graz, Graz, Austria.
Comput Methods Biomech Biomed Engin. 2001 Feb;4(2):149-63. doi: 10.1080/10255840008908002.
The influence of viscoelastic effects on blood flow in large arteries is studied numerically. The description of the blood flow uses the conservation of mass and momentum and a constitutive relation of Jeffreys' type (Oldroyd-B) and appropriate relations to describe the shear thinning behaviour. The steady flow studies are carried out in an axisymmetric tube with a local constriction modelling a stenosed blood vessel and in a three-dimensional 90 degrees curved tube. The numerical approach applies a decoupled technique where the computation of kinematics and stresses is separated. The governing equations are solved by means of an upwind stabilised Galerkin finite element method. The numerical results indicate significant influence of viscoelastic effects in the stenosed model. The flow through the curved tube shows minor quantitative viscoelastic influence. The influence of the shear thinning effect can be observed in both geometries. The results demonstrate that the viscoelastic behaviour of the local flow patterns in large arteries is dependent on the shape of the flow domain.
数值研究了粘弹性效应对大动脉中血流的影响。血流描述采用质量和动量守恒以及杰弗里斯型（Oldroyd-B）本构关系和描述剪切变稀行为的适当关系。在具有模拟狭窄血管的局部收缩的轴对称管和三维90度弯曲管中进行稳态流动研究。数值方法应用解耦技术，其中运动学和应力的计算是分开的。控制方程通过迎风稳定伽辽金有限元方法求解。数值结果表明粘弹性效应在狭窄模型中有显著影响。通过弯曲管的流动显示出较小的定量粘弹性影响。在两种几何形状中都可以观察到剪切变稀效应的影响。结果表明，大动脉中局部流动模式的粘弹性行为取决于流动区域的形状。
