Gold nanoparticles (AuNPs) are now widely used because of their synthesis compatibility and less toxicity in several biomedical applications such as cancer treatment. From the fluid mechanics point of view, we examine the behavior of a mixture of gold and Titanium Oxide nanoparticles, which suspended in the blood as a base fluid in the diseased coronary artery. The main goal of this paper is to examine and shed light on the hybrid nanofluid flows through a vertical diseased artery in the presence of the catheter tube with heat transfer. The mathematical model is established and then solved with the Laplace and the finite Hankel transforms. The inverse of the transformed functions has been calculated numerically. The velocity, the pressure, the impedance and the heat transfer are discussed graphically. It is noteworthy to mention that the mixture of the nanoparticles dispersed in the blood needs high pressure to push it. The impedance of blood is proportional to the overall volume concentration of the nanoparticles and Reynolds number.

中文翻译：

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混合纳米流体流过具有热传递的垂直病变冠状动脉

金纳米粒子 (AuNPs) 现在因其合成相容性和在癌症治疗等多种生物医学应用中的较低毒性而被广泛使用。从流体力学的角度来看，我们检查了金和二氧化钛纳米粒子混合物的行为，该纳米粒子作为患病冠状动脉的基础液悬浮在血液中。本文的主要目的是检查和阐明混合纳米流体在导管管存在下通过垂直病变动脉流动并进行传热。建立数学模型，然后用拉普拉斯和有限汉克尔变换求解。变换函数的倒数已通过数值计算。以图形方式讨论了速度、压力、阻抗和热传递。值得注意的是，分散在血液中的纳米颗粒混合物需要高压才能推动。血液的阻抗与纳米颗粒的总体积浓度和雷诺数成正比。