This article examines theoretically and numerically the unsteady two-dimensional blood flow through a diseased artery featuring an irregular stenosis. An appropriate geometric model is adopted to simulate the irregular stenotic artery. Inspired by drug delivery applications for blood vessels, the impact of hybrid nanoparticles on blood flow using a modified Tiwari-Das model is discussed. The blood is examined to have a homogenous suspension of hybrid nanoparticles. Reynolds’ viscosity model is applied in the formulation to represent the temperature dependency of blood. The two-dimensional governing conservation equations for momentum and heat transfer with buoyancy effect are simplified by considering the mild stenotic approximation. A finite-difference technique is deployed to numerically discretize the transformed non-dimensional model. Extensive graphical results for blood flow characteristics are obtained by MATLAB code. Comprehensive visualization of the effects of hemodynamic, geometric and nanoscale parameters on transport characteristics is provided. The problem is conducted for silver and silver-gold hybrid mediated blood flow models, and experimental values of blood and these biocompatible metallic nanoparticles. A comparison between silver and hybrid nanofluid is obtained which promotes the use of hybrid nanoparticles in successfully achieving clinically more beneficial results associated with nano-drug delivery in diseased hemodynamics. Enhancement in viscosity parameter induces axial flow acceleration in the stenotic region while lower thermal conductivity decreases the temperature magnitudes. Furthermore, with time variation, the pressure gradient is found to be lower in coronary arteries comparatively to femoral arteries. The simulations are relevant to transport phenomenon in nano-drug targeted delivery in haematology.

本文从理论和数值上检查了通过具有不规则狭窄的患病动脉的不稳定二维血流。采用适当的几何模型来模拟不规则的狭窄动脉。受血管药物输送应用的启发，讨论了使用改良的Tiwari-Das模型的混合纳米颗粒对血流的影响。检查血液具有混合纳米颗粒的均质悬浮液。雷诺的粘度模型应用于制剂中，以代表血液的温度依赖性。考虑温和的狭窄近似，简化了具有浮力作用的动量和热传递的二维控制守恒方程。使用有限差分技术对转换后的无量纲模型进行数值离散。通过MATLAB代码获得了有关血流特性的大量图形结果。提供了血流动力学，几何和纳米尺度参数对转运特性影响的全面可视化。该问题是针对银和金银杂化介导的血流模型以及血液和这些生物相容性金属纳米颗粒的实验值进行的。获得了银和混合纳米流体之间的比较，这促进了混合纳米颗粒在成功实现与疾病血液动力学中的纳米药物递送相关的临床上更有益的结果中的应用。粘度参数的增加会引起狭窄区域的轴向流动加速，而较低的导热系数会降低温度幅度。此外，随着时间的变化，发现与股动脉相比，冠状动脉的压力梯度较低。模拟与血液学中纳米药物靶向递送中的转运现象有关。