Shabbir Muhammad Shahzad, Hussain Meriyem
The Islamia University of Bahawalpur, Bahawalpur, Pakistan.
J Biol Phys. 2025 Jan 22;51(1):6. doi: 10.1007/s10867-024-09668-0.
The present article focuses on the analysis of the two-phase flow of blood via a stenosed artery under the influence of a pulsatile pressure gradient. The core and plasma regions of flow are modeled using the constitutive relations of Herschel-Bulkley and the Newtonian fluids, respectively. The problem is modeled in a cylindrical coordinate system. A modest stenosis assumption is used to simplify the non-dimensional governing equations of the flow issue. An explicit finite difference approach is used to solve the resultant nonlinear system of differential equations while accounting for the provided boundary conditions. After the necessary adjustments have been made to the crucial non-dimensional parameters, an analysis of the data behind the huge image, such as axial velocity, temperature field, concentration wall shear stress, flow rate, and flow impedance, is conducted. The current study shows that the curvature of blood vessels plays a significant role in influencing blood velocity. Specifically, a unit increase in the curvature radius results in a 24% rise in blood velocity.
本文重点分析了在脉动压力梯度影响下，血液通过狭窄动脉的两相流。分别使用赫谢尔 - 巴克利本构关系和牛顿流体对流动的核心区域和血浆区域进行建模。该问题在圆柱坐标系中进行建模。采用适度狭窄假设来简化流动问题的无量纲控制方程。在考虑给定边界条件的同时，使用显式有限差分法求解所得的非线性微分方程组。在对关键无量纲参数进行必要调整后，对诸如轴向速度、温度场、浓度壁面剪应力、流量和流动阻抗等大量图像背后的数据进行分析。当前研究表明，血管曲率在影响血流速度方面起着重要作用。具体而言，曲率半径每增加一个单位，血流速度会增加24%。
