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微极纳米流体在收缩薄板上非定常磁流体动力学流动中非线性热辐射和纳米颗粒团聚的数学分析

Mathematical analysis of nonlinear thermal radiation and nanoparticle aggregation on unsteady MHD flow of micropolar nanofluid over shrinking sheet.

作者信息

Guedri Kamel, Mahmood Zafar, Fadhl Bandar M, Makhdoum Basim M, Eldin Sayed M, Khan Umar

机构信息

Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P. O. Box 5555, Makkah, 21955, Saudi Arabia.

Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan.

出版信息

Heliyon. 2023 Mar 8;9(3):e14248. doi: 10.1016/j.heliyon.2023.e14248. eCollection 2023 Mar.

Abstract

SIGNIFICANCE OF STUDY

Typical liquids aren't great for engineering because of their low heat conductivity. To enhance heat transfer capabilities in industries as diverse as computers, pharmaceuticals, and molten metals, researchers and scientists have developed nanofluids, which are composed of nanoparticles distributed in a base fluid.

AIM OF STUDY

Mathematical modeling of micropolar nanofluid driven by a deformable sheet in the stagnation area with nanoparticle aggregation, thermal radiation, and the mass suction action has been investigated in this paper. In this case, copper nanoparticles make up the nanofluid.

METHOD

ology: We have used suitable transformations to arrive at a system of nonlinear ODEs, which we then solve numerically in MATHEMATICA using Runge-Kutta methods of the fourth order coupled with shooting approaches.

FINDINGS

Tables and graphs are used to examine the effects of immersed flow and display profiles of physical parameters of interest. This includes velocities, temperatures, skin friction, and Nusselt numbers. The average heat transfer rate increased to as the volume percentage of copper nanoparticles in micropolar nanofluid increased from to . Additionally, the results showed that the local Nusselt number of the micropolar nanofluid increased along with an increase in the unsteady and radiation parameters. However, its value is reduced in an undeniable fashion if a material parameter is present. The impact of radiation on the aggregation of nanoparticles is compared and contrasted with the effects of a non-radiative scenario, and the resulting fluctuations in Nusselt numbers are provided in tables. When the results of this study were compared to data that had already been published about some cases, a lot of agreement was found.

摘要

研究意义

典型液体由于其低导热性,对工程应用来说并不理想。为了提高计算机、制药和熔融金属等不同行业的传热能力,研究人员和科学家们开发了纳米流体,它由分布在基液中的纳米颗粒组成。

研究目的

本文研究了在存在纳米颗粒团聚、热辐射和质量抽吸作用的驻点区域中,由可变形薄板驱动的微极纳米流体的数学模型。在这种情况下,纳米流体由铜纳米颗粒构成。

方法

我们采用了合适的变换得到一个非线性常微分方程组,然后在MATHEMATICA中使用四阶龙格 - 库塔方法结合打靶法进行数值求解。

研究结果

通过表格和图表来研究浸入流的影响,并展示感兴趣的物理参数的分布情况。这包括速度、温度、表面摩擦力和努塞尔数。随着微极纳米流体中铜纳米颗粒的体积百分比从 增加到 ,平均传热速率增加到 。此外,结果表明微极纳米流体的局部努塞尔数随着非稳态和辐射参数的增加而增加。然而,如果存在一个材料参数,其值会不可避免地降低。将辐射对纳米颗粒团聚的影响与无辐射情况的影响进行了比较和对比,并在表格中给出了由此产生的努塞尔数波动情况。当将本研究的结果与已发表的关于某些情况的数据进行比较时,发现了很多一致性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0093/10011001/e3dbbcd828ce/gr3.jpg

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