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狭窄动脉中混合介导的血流的数学分析。

Mathematical analysis of hybrid mediated blood flow in stenosis narrow arteries.

机构信息

Department of Mathematics, University of Gujrat, Gujrat, 50700, Pakistan.

Department of Mathematical Sciences, UAE University, Alain, 15551, United Arab Emirates.

出版信息

Sci Rep. 2022 Jul 26;12(1):12704. doi: 10.1038/s41598-022-15117-6.

Abstract

In this paper the behavior of flow of blood under stenosis suppositions is studied. Nanoparticles of Ag and Cu are being used with blood as base fluid. The problem governing equations are modeled into PDE's, which are transformed into set of ODE's with the help of useful similarity transformation. We investigated the solution numerically for various parameters on temperature and velocity distribution and shown in the form of tables and graphs. It is found that the velocity of blood increases while the temperature curve goes down by increasing the concentration of nanoparticles and also temperature curve decreases by increasing the values of gamma and Prandtl number. Furthermore, the calculated results shows that increment in flow parameter gamma caused an increase in velocity values. In the field of biomedicine, the important approach of nanotechnology is the use of nanoparticles in chemotherapy.

摘要

本文研究了在狭窄假设下血液流动的行为。以血液为基液,使用 Ag 和 Cu 的纳米粒子。通过有用的相似性变换,将控制方程的问题建模为 PDE,并将其转换为一组 ODE。我们针对各种参数对温度和速度分布进行了数值求解,并以表格和图形的形式显示。结果表明,随着纳米粒子浓度的增加,血液速度增加,而温度曲线下降;随着γ和普朗特数的增加,温度曲线也下降。此外,计算结果表明,流参数γ的增加导致速度值的增加。在生物医学领域,纳米技术的重要方法是在化疗中使用纳米粒子。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b1d/9325780/6b5b15bdbde4/41598_2022_15117_Fig1_HTML.jpg

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