Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000 Pakistan.
Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000 Pakistan.
Comput Methods Programs Biomed. 2019 Oct;179:104980. doi: 10.1016/j.cmpb.2019.07.008. Epub 2019 Jul 10.
The present investigation is concerned with hybrid mediated blood flow model through atherosclerotic bifurcated artery with slip effects by considering the properties of compliant walls.
DESIGN/APPROACH: In human body, the circulatory system is made up of a network of blood vessels that include the bifurcation therefore the influence of hybrid nanoparticles on parent artery with mild stenosis, at apex and in the region of daughter arteries (after being bifurcated) is observed. Blood streaming along the segment of vessel is considered to be Newtonian. The compliant nature of the atherosclerotic artery wall is also considered to create association with permeability aspects for the thickness of arterial wall. Property of heat transfer with convective impacts is taken into account to weaken the stenotic lesions. Through phase flow model approach, a mathematical model is develop with the phenomena of hybrid nanofluid.
For theoretical research of designed equations experimentally determined values of nanoparticles and base fluid are used. Further, flow configurations of hemodynamics are figure out to analyze the blood flow through bifurcated stenotic artery. The comparison in parent and daughter artery is plotted for velocity profile. These patterns provide us a graphical way to recognize the importance of theoretical assistance of this model to biomedical field. At the end, it is concluded from graphical results that slip to the boundary reduces the resistance to flow for atherosclerotic bifurcated artery.
In bifurcated artery, blood circulation is assumed due to difference of pressure between atherosclerotic and non-atherosclerotic portions. Slip impacts are more effective to reduce the hemodynamics effects of stenosis for bifurcated artery. Bifurcation angle reduces the shear stress for daughter artery whereas opposite behavior is observed for parent artery. Compliant wall parameters reduces the inner bolus size in stenotic region while number of bolus increases in bifurcated region. Reduction in the amplitude of shear stress for convective parameter is more prominent in the parent artery as compared to daughter artery.
本研究关注的是通过考虑顺应性壁的特性,在存在滑移效应的情况下,通过混合介质实现对粥样分叉动脉的血流模型。
设计/方法:在人体中,循环系统由包括分叉的血管网络组成,因此观察了混合纳米粒子对轻度狭窄的主血管、在顶点以及子血管(分叉后)区域的影响。沿血管段流动的血液被认为是牛顿流体。粥样硬化动脉壁的顺应性也被认为与动脉壁厚度的渗透性方面有关。考虑到传热特性和对流影响,以减弱狭窄病变。通过相流模型方法,发展了一种具有混合纳米流体现象的数学模型。
为了对设计方程进行理论研究,实验确定了纳米粒子和基液的数值。进一步,计算出血液动力学的流动配置,以分析通过分叉狭窄动脉的血流。绘制了母管和子管的速度分布对比图。这些模式为我们提供了一种图形化的方法来认识这个模型对生物医学领域的理论辅助的重要性。最后,从图形结果得出结论,边界滑移可以减少粥样分叉动脉的流动阻力。
在分叉动脉中,血液循环是由于粥样硬化和非粥样硬化部分之间的压力差引起的。滑移效应对于减少分叉动脉狭窄的血液动力学影响更为有效。分叉角减少了子管的剪切应力,而对于母管则观察到相反的行为。顺应性壁参数减少了狭窄区域内的内射流尺寸,而在分叉区域内的射流数量增加。与子管相比,母管中对流参数的剪切应力幅度减小更为显著。