弹性动脉血管中血液流动特性的模拟和分析

A·克乌玛; C·L·范西尼; G·C·夏玛

弹性动脉血管中血液流动特性的模拟和分析

瑞·范西尼学院数学和计算机科学系,阿利加赫 202001,印度;2.基础科学研究所,坎大热,阿格拉 282002,印度

详细信息

中图分类号: O242.1；O357.1；R318.01
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出版历程
- 收稿日期: 2003-10-17
- 刊出日期: 2005-03-15

Performance Modeling and Analyis of Blood Flow in Elastic Arteries

Department of Post-Graduate Studies and Research in Mathematics &Computer Science, S. Varshney College, Aligarh-202001, India;

摘要

摘要: 研究了两个不同的非牛顿血液流动模型：低粘性剪切简单幂律模型和低粘性剪切及粘弹性振荡流的广义Maxwell模型．同时利用这两个非牛顿模型和牛顿模型，研究了磁场中刚性和弹性直血管中血液的正弦型脉动．在生理学条件下，大动脉中血液的弹性对其流动性态似乎并不产生影响，单纯低粘性剪切模型可以逼真地模拟这种血液流动．利用高剪切幂律模型模拟弹性血管中的正弦型脉动流，发现在同一压力梯度下，与牛顿流体相比较，幂律流体的平均流率和流率变化幅度都更小．控制方程用Crank-Niclson方法求解．弹性动脉中血液受磁场作用是产生此结果的直观原因．在主动脉生物流的模拟中，与牛顿流体模型比较，发现在匹配流率曲线上，幂律模型的平均壁面剪切应力增大，峰值壁面剪切应力减小．讨论了弹性血管横切磁场时的血液流动，评估了血管形状和表面不规则等因素的影响．
- 弹性动脉模型 /
- Crank-Niclson方法 /
- 非牛顿流体 /
- 壁面剪切应力
Abstract: Two different non-Newtonian models for blood flow are considered, first a simple power law model displaying shear thinning viscosity, and second a generalized Maxwell model displaying both shear thinning viscosity and oscillating flow viscous-elasticity. These models are used along with a Newtonian model to study sinusoidal flow of blood in rigid and elastic strainght arteries in the presence of magnetic field. The elasticity of blood does not appear to influence its flow behavior under physiological conditions in the large arteries, purely viscous shear thinning model should be quite realistic for simulating blood flow under these conditions. On using the power law model with high shear rate for sinusoidal flow simulation in elastic arteries, the mean and amplitude of the flow rate were found to be lower for a power law fluid compared to Newtonian fluid for the same pressure gradient. The governing equations have been solved by Crand-Niclson scheme. The results are interpreted in the context of blood in the elastic arteries keeping the magnetic effects in view. For physiological flow simulation in the aorta, an increase in mean wall shear stress, but a reduction in peak wall shear stress were observed for power law model compared to a Newtonian fluid model for matched flow rate wave form. Blood flow in the presence of transverse magnetic field in an elastic artery is investigated and the influence of factors such as morphology and surface irregularity is evaluated.
- elastic artery model /
- Crank-Niclson scheme /
- non-Newtonian fluid /
- wall shear stress

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