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通过不规则对称狭窄处的混合介质纳米血液动力学(Ag-Au/血液)的计算模拟。

Computational simulations of hybrid mediated nano- hemodynamics (Ag-Au/Blood) through an irregular symmetric stenosis.

机构信息

Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj, Uttar Pradesh, 211004, India.

Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj, Uttar Pradesh, 211004, India.

出版信息

Comput Biol Med. 2021 Mar;130:104213. doi: 10.1016/j.compbiomed.2021.104213. Epub 2021 Jan 19.

Abstract

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.

摘要

本文从理论和数值两方面研究了具有不规则狭窄的病变动脉中不稳定的二维血流。采用适当的几何模型来模拟不规则狭窄的动脉。受血管内药物输送应用的启发,利用改进的 Tiwari-Das 模型讨论了混合纳米粒子对血流的影响。血液被认为是混合纳米粒子的均匀悬浮液。在配方中应用雷诺粘度模型来表示血液的温度依赖性。考虑到轻度狭窄的近似,二维动量和传热守恒方程的二维控制方程通过浮力效应进行简化。使用有限差分技术对变换后的无量纲模型进行数值离散化。通过 MATLAB 代码获得了血流特性的大量图形结果。全面可视化了血液动力学、几何和纳米尺度参数对输运特性的影响。该问题针对银和银金混合介导的血流模型以及血液和这些生物相容性金属纳米粒子的实验值进行了研究。比较了银和混合纳米流体,这促进了在成功实现与纳米药物输送相关的更有益的临床结果方面使用混合纳米粒子,这在病变血液动力学中的纳米药物输送中具有重要意义。增加粘度参数会导致狭窄区域的轴向流动加速,而较低的热导率会降低温度幅度。此外,随着时间的变化,与股动脉相比,冠状动脉中的压力梯度被发现较低。这些模拟与血液学中纳米药物靶向输送的输运现象相关。

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