Department of Mathematics, University of Gour Banga, Malda 732 103, India.
Department of Mathematics, University of Gour Banga, Malda 732 103, India.
Microvasc Res. 2021 Nov;138:104191. doi: 10.1016/j.mvr.2021.104191. Epub 2021 Jun 9.
This article aims to outline the characteristics of the blood flow conveying copper (Cu) and gold (Au) nanoparticles (NPs) through a non-uniform endoscopic annulus with wall slip under the action of electromagnetic force and Hall currents. The flow of blood with the suspension of hybrid nanoparticles in the annulus is induced by the peristaltic pumping. The governing equations are modeled and then simplified with the postulate of lubrication theory. The resulting non-dimensional momentum equation after simplification is solved analytically by employing the He's homotopy perturbation method (HPM) with the computational software Mathematica program (version 11). The influential role of emerging physical parameters on the physiological features related to the blood flow is inferred graphically and physically. The analytical outcomes reveal that Hall parameter has a diminishing behavior on the blood flow while the inverse impact is endured for mounting Hartmann number. Electromagnetic field and Hall currents offer a superlative mode for regulating blood flow at the time of surgery. An increment in the volume fraction of nanoparticles causes a drop in the blood temperature profile. The trapping phenomenon is also explored with the help of contours. An expansion in Hartmann number reduces the size of entrapped bolus and ultimately vanishes when Hartmann number is very large. This prospective model may be applicable in electromagnetic micro-pumps, medical simulation devices, heart-lung machine (HLM), drug carrying and drug transport systems, cancer diagnosis, tumor selective photothermal therapy, etc.
本文旨在概述在电磁力和霍尔电流作用下,通过具有壁滑的非均匀内窥镜环,血流携带铜 (Cu) 和金 (Au) 纳米粒子 (NP) 的特征。混合纳米粒子悬浮液在环中的血流是由蠕动泵送引起的。在提出润滑理论假设后,对控制方程进行建模并简化。简化后的无量纲动量方程通过使用具有计算软件 Mathematica 程序(版本 11)的 He 的同伦摄动方法 (HPM) 进行解析求解。通过图形和物理方式推断出新兴物理参数对与血流相关的生理特征的影响作用。分析结果表明,Hall 参数对血流具有减小的作用,而 Hartmann 数增加则会产生相反的影响。电磁场和霍尔电流在手术时提供了一种卓越的血流调节模式。纳米粒子体积分数的增加会导致血液温度分布下降。通过轮廓图也可以探索捕获现象。Hartmann 数的增加会减小捕获的血团的尺寸,当 Hartmann 数非常大时,最终会消失。这种有前景的模型可能适用于电磁微泵、医学模拟设备、心肺机 (HLM)、载药和药物输送系统、癌症诊断、肿瘤选择性光热治疗等。