为模拟复杂形状血管内的血液流动,本文考虑血液的非牛顿流变特性开发了适用于Casson流体的非结构化同位网格SIMPLE算法.离散动量方程时,对流项和源项的处理方法和牛顿流体类似.对于扩散项,为了避免黏度是剪切率的复杂函数所导致的复杂性,将黏度取为上一迭代步的流场获得的Casson流体黏度.经过以上处理对Casson流体动量方程的离散就可以参考变黏度牛顿流体的动量方程离散方法来进行,再利用基于非结构化同位网格的SIMPLE算法进行求解.该方法对其它切应力等于速度变形率与黏性函数乘积的非牛顿模型同样适用.利用本文算法模拟了T型分叉管中的血液流动,与文献中的实验结果对比发现,Casson流体得到的结果优于牛顿流体,说明采用Casson模型模拟血液流动是成功和必要的.
参考文献
| [1] | Chen J;Lu XY;Wang W .Non-Newtonian effects of blood flow on hemodynamics in distal vascular graft anastomoses.[J].Journal of Biomechanics,2006(11):1983-1995. |
| [2] | Gijsen FJH;Janssen JD;van de Vosse FN .Influence of the non-Newtonian properties of blood on the flow in large arteries: Steady flow in a carotid bifurcation model[J].Journal of Biomechanics,1999(6):601-608. |
| [3] | O'Callaghan S;Walsh M;McGloughlin T .Numerical modelling of Newtonian and non-Newtonian representation of blood in a distal end-to-side vascular bypass graft anastomosis.[J].Medical engineering and physics,2006(1):70-74. |
| [4] | Eleyas Shaik;Klaus A. Hoffmann;Jean-Francois Dietiker .Numerical simulations of pulsatile non-Newtonian flow in an end-to-side anastomosis model[J].Simulation modelling practice and theory: International journal of the Federation of European Simulation Societies,2008(9):1123-1135. |
| [5] | Valencia A;Zarate A;Galvez M;Badilla L .Non-Newtonian blood flow dynamics in a right internal carotid artery with a saccular aneurysm[J].International Journal for Numerical Methods in Fluids,2006(6):751-764. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%