Wahab Abdul, Asjad Muhammad Imran, Riaz Muhammad Bilal, Haider Jamil Abbas
Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
IT4Innovations, VSB - Technical University of Ostrava, Ostrava, Czech Republic.
PLoS One. 2025 Apr 8;20(4):e0317989. doi: 10.1371/journal.pone.0317989. eCollection 2025.
This study investigates the influence of varying degrees of stenosis on blood flow within elliptic arteries, emphasizing the critical role of artery shape in clinical evaluations as opposed to the commonly studied circular arteries. Unlike prior work, this research offers a precise definition of stenosis by incorporating the measured length, height, and position of the narrowing. Employing the non-Newtonian Williamson fluid model, we conducted comprehensive numerical simulations to examine blood flow through four distinct stenosis formations. The novelty of this work lies in its accurate modeling of stenosis and use of advanced mesh generation, combined with commercial software and the finite volume method, to capture detailed hemodynamic behavior. Visualized results, including pressure profiles, velocity line graphs, and streamlines, further underscore the distinctive flow dynamics shaped by the elliptic geometry. Key findings of the obtained results reveal that blood velocity peaks near the stenosis and drops significantly post-stenosis, with notable variations in flow patterns, energy loss, and pressure distribution across different stenosis types. Further, higher velocity of blood flow is observed in elliptic arteries in comparison with circular ones. In the area of the high corners of stenotic segments, the pressure profile reaches high values. As a result of the narrowing of the arterial cross-section, the varied time shows that the post-stenotic segment of the artery has a higher pressure than the pre-stenotic section. The varied time suggests that an axially symmetric profile will eventually be the norm for the flow within the arterial portion. These insights have profound implications for improving clinical diagnosis and treatment strategies for conditions related to stenosed elliptic arteries.
本研究调查了不同程度狭窄对椭圆形动脉内血流的影响,强调了动脉形状在临床评估中的关键作用,这与通常研究的圆形动脉形成对比。与先前的工作不同,本研究通过纳入测量的狭窄长度、高度和位置,对狭窄给出了精确的定义。采用非牛顿威廉姆森流体模型,我们进行了全面的数值模拟,以研究通过四种不同狭窄形态的血流。这项工作的新颖之处在于其对狭窄的精确建模以及使用先进的网格生成技术,结合商业软件和有限体积法,来捕捉详细的血流动力学行为。可视化结果,包括压力分布、速度线图和流线,进一步突出了由椭圆形几何形状塑造的独特流动动力学。所得结果的关键发现表明,血流速度在狭窄处附近达到峰值,在狭窄后显著下降,不同狭窄类型的流动模式、能量损失和压力分布存在显著差异。此外,与圆形动脉相比,椭圆形动脉中观察到更高的血流速度。在狭窄段的高角区域,压力分布达到高值。由于动脉横截面变窄,不同时刻显示动脉的狭窄后段压力高于狭窄前段。不同时刻表明,轴向对称分布最终将成为动脉部分内血流的常态。这些见解对改善与狭窄椭圆形动脉相关病症的临床诊断和治疗策略具有深远意义。