血栓存在与不存在时狭窄动脉与动脉瘤动脉血流的比较数学研究

IF 0.5 Q3 MATHEMATICS Malaysian Journal of Mathematical Sciences Pub Date : 2020-05-12 DOI:10.47836/mjms.16.3.12
M. Uddin, M. Uddin, Md. Monjarul Alam
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引用次数: 1

摘要

在狭窄区域存在血栓的情况下,研究了通过狭窄和动脉瘤动脉的血流和血液动力学特性的数值预测。有限元法已被用于求解笛卡尔坐标系中的连续性、动量、Oldroyd-B和生物热输运的偏微分方程。本研究有可能计算狭窄和动脉瘤喉部的血流速度、压力和阻力系数。这些模型也被用于研究所有修改的模拟、血栓和血液动力学特征。与粘弹性特性相比,剪切变薄对血流的影响更大。研究发现,对于非抽签模型,阻力系数的最大影响在狭窄中心处可见。对于约束区域处存在的血栓,获得最高压力和最低速度。狭窄和动脉瘤动脉、阻力系数和血栓对血流的影响是医学上可能报道的识别动脉粥样硬化疾病的主要物理结果。对血流动力学因素的生理意义进行了数值分析,验证了该模型的有效性。
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Comparative Mathematical Study of Blood Flow Through Stenotic and Aneurysmatic Artery with the Presence and Absence of Blood Clots
Numerical predictions of blood flow and hemodynamic properties through stenosis and aneurysm artery have been studied in the presence of blood clots at the constricted area. The finite element method has been used to solve the partial differential equations of continuity, momentum, Oldroyd-B, and bioheat transport in cartesian coordinates systems. The present investigation carries the potential to compute blood velocity, pressure, and drag coefficients with significance at the throat of stenosis and aneurysm. The models have also been employed to study simulation, blood clots, and hemodynamic characteristics for all modifications. The impact of shearthinning on blood flow is intensified compared to the viscoelastic properties. It is found that the maximum effect of the drag coefficient is visible at the hub of stenotic for nonclotting models. The highest pressure and the lowest velocity are gained for the presence of blood clots at the constraint area. The impact of stenosis and aneurysm artery, drag coefficient, and blood clots on blood flow is the main physical outcome that may be reported in medical science to identify atherosclerosis diseases. The quantitative analysis has been completed numerically with the physiological significance of hemodynamic factors of blood flow which shows the validity of the present model.
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来源期刊
CiteScore
1.10
自引率
20.00%
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期刊介绍: The Research Bulletin of Institute for Mathematical Research (MathDigest) publishes light expository articles on mathematical sciences and research abstracts. It is published twice yearly by the Institute for Mathematical Research, Universiti Putra Malaysia. MathDigest is targeted at mathematically informed general readers on research of interest to the Institute. Articles are sought by invitation to the members, visitors and friends of the Institute. MathDigest also includes abstracts of thesis by postgraduate students of the Institute.
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