Abstract

Reduction of the stenosis in arteries is one of the most important applications of nanoparticles in medicine. Thus, investigating nanoparticles in stenosed arteries is a subject attracting so much attention from the researchers nowadays. However, considering the small size of arteries, it seems that non-classical theories demonstrate better results when compared to the classical Navier-Stokes theory. The present paper aims at investigating the Newtonian nanofluid flow through divergent and convergent, non-tapered and tapered arteries with mild stenosis according to the consistent couple stress theory. Concentration, temperature, and velocity profiles, as well as the impact of various parameters such as the height of the stenosis, the shape of the stenosis curve, Brownian distribution parameter, thermophoresis distribution parameter, Darcy number, and the length scale were calculated for all the three geometries. Results demonstrate that an increase in the height of the stenosis and an increase in the Darcy coefficient, respectively, lead to a decrease and an increase in the axial velocity in all three artery geometries. Moreover, an increase in the impact of the length scale leads to a decrease in the axial velocity. The impact of the length scale on the velocity profile shows the significance of the length parameter on the flow within the geometries with small sizes which is not present in the classical Navier-Stokes theory.

中文翻译：

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基于一致耦合应力理论的锥形动脉牛顿纳米流体流动的解析解

摘要

减少动脉狭窄是纳米颗粒在医学中最重要的应用之一。因此，研究狭窄的动脉中的纳米颗粒是当今引起研究者极大关注的主题。但是，考虑到小动脉，与经典的Navier-Stokes理论相比，非经典理论似乎显示出更好的结果。根据一致的偶应力理论，本文旨在研究牛顿纳米流体流经发散和会聚，无锥度和锥形动脉的轻度狭窄。浓度，温度和速度分布图，以及各种参数（例如狭窄高度，狭窄曲线的形状，布朗分布参数，热泳分布参数，达西数，并计算了这三个几何形状的长度比例。结果表明，狭窄高度的增加和达西系数的增加分别导致所有三种动脉几何形状的轴向速度减小和增加。此外，长度尺的影响的增加导致轴向速度的减小。长度比例尺对速度分布的影响表明长度参数对小尺寸几何形状中的流动的重要性，这在经典的Navier-Stokes理论中是不存在的。导致在所有三个动脉几何形状中轴向速度的减小和增加。此外，长度尺的影响的增加导致轴向速度的减小。长度比例尺对速度分布的影响表明长度参数对小尺寸几何形状中的流动的重要性，这在经典的Navier-Stokes理论中是不存在的。导致在所有三个动脉几何形状中轴向速度的减小和增加。此外，长度尺的影响的增加导致轴向速度的减小。长度比例尺对速度分布的影响表明长度参数对小尺寸几何形状中的流动的重要性，这在经典的Navier-Stokes理论中是不存在的。