通过狭窄症扩散的理论模型
A K Awasthi1, Harpreet Kaur1, Rajendra Kumar Tripathi2
1Department of Mathematics, School of Chemical Engineering & Physical Sciences, Lovely Professional University, Phagwara, India.
Heliyon
|November 30, 2023
概括
动脉狭窄,一种异常的动脉生长,改变了血液流动的血液动力学. 了解狭窄动脉的流动特征对于预防心血管疾病至关重要.
科学领域:
- 生物医学工程 生物医学工程
- 流体动力学 流体动力学
- 心血管科学 心血管科学
背景情况:
- 动脉狭窄涉及异常的光线生长,改变血液流动的血液动力学.
- 这些血液动力学变化可能会对血管健康产生负面影响.
- 了解狭窄动脉中的血液流动对于预防疾病至关重要.
研究的目的:
- 在有动脉狭窄的情况下分析血液流动特征.
- 为了研究狭窄对血液动力学参数的影响,如速度,压力和壁剪应力.
- 通过狭窄区域开发流电阻和扩散的分析模型.
主要方法:
- 使用了两种流体血液模型:微极流体的核心和牛顿血的外围.
- 在中度狭窄的通道中研究的流量.
- 使用修改的零和第一阶贝塞尔函数来导出分析方程.
主要成果:
- 确定速度分布,压力和墙壁剪切应力.
- 发现墙面剪切应力随着外周粘度的降低而降低,但随着狭窄尺寸的增加而增加.
- 量化流动阻力和通过狭窄的扩散.
结论:
- 流动阻力和墙壁剪切应力受到狭窄尺寸和流体粘度的显著影响.
- 分析解决方案为血液动力学变化提供了洞察力,这些变化是由狭窄引起的.
- 对静脉血流的全面了解对于管理动脉疾病至关重要.
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