拉伸表面上微波磁化纳米流体流动的非相似分析

Umar Farooq, Muzamil Hussain, U. Farooq
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摘要

与传统流体相比,微极性纳米流体具有卓越的传热能力,因此其研究揭示了引人入胜的应用领域。这项研究的重点是分析磁化微波纳米流体在拉伸表面上的流动行为,同时考虑到粘性耗散和热源等关键因素。所选基础流体为血液,纳米铜粒子[式:见正文]为所选材料。我们将单相(Tiwari-Das)模型与纳米微流体流动的边界层假设相结合,引入纳米颗粒的体积分数来评估热传输。通过适当的转换,治理系统转变为一组无量纲非线性耦合微分方程。这种转换涉及到局部非相似性技术和 bvp4c(MATLAB 工具)的结合使用,从而推导出微波纳米流体的无量纲偏微分方程(PDE)系统。我们系统地探讨了非一维参数对边界层内速度、微自转和温度分布的影响,包括埃克特数、微波参数、磁场参数、热源、普朗特数和微生物参数。图示生动地表明,随着材料参数值的增加,微极性纳米流体的速度和温度也随之增加,而微浮力曲线则有所减小。磁场参数的增加会导致速度曲线的减小。此外,随着埃克特数的增加,微阳极温度曲线也有所上升。研究强调,热源和埃克特数等因素在降低局部努塞尔特数方面起着重要作用。相反,材料参数则会增加局部努塞尔特数。此外,随着微极参数值的增加,表皮摩擦系数也会降低,而磁场则会增加表皮摩擦系数。这项研究的主要重点在于为所研究的问题开发合适的非相似变换,旨在获得真实、高效的结果。这些结果有望为纳米流体流动的未来研究做出有意义的贡献。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Non-similar analysis of micropolar magnetized nanofluid flow over a stretched surface
The study of micropolar nanofluids unveils intriguing applications, propelled by their exceptional heat transfer capabilities in comparison to conventional fluids. This investigation focuses on analyzing the behavior of magnetized micropolar nanofluid flow over a stretched surface, taking into account crucial factors such as viscous dissipation and heat source. The chosen base fluid is blood, with Copper [Formula: see text] nanoparticles serving as the selected material. Incorporating the single-phase (Tiwari-Das) model with boundary layer assumptions for micropolar nanofluid flow, we introduce the volume fraction of nanoparticles to assess heat transport. The governing system undergoes transformation into a set of dimensionless non-linear coupled differential equations through appropriate transformations. This transformation involves the utilization of a combination of the local non-similarity technique and bvp4c (MATLAB tool) to derive the system of nondimensional partial differential equations (PDEs) for micropolar nanofluid. Our systematic exploration delves into the consequences of nondimensional parameters on velocity, microrotation, and temperature profiles within the boundary layer, including the Eckert number, micropolar parameter, magnetic field parameter, heat source, Prandtl number, and microorganism parameter. Graphical representations vividly demonstrate that the velocity and temperature of micropolar nanofluid increase with the rise in material parameter values, while the microrotation profile decreases. Increasing the magnetic field parameter leads to a reduction in the velocity profile. Moreover, the micropolar temperature profile shows an increase with the rising Eckert number. Crucially, the research emphasizes that factors like the heat source and Eckert number play a role in decreasing the local Nusselt number. In contrast, an increase in the local Nusselt number is observed for material parameters. Furthermore, the skin friction coefficient decreases as micropolar parameter values increase, whereas an increase in the skin friction coefficient is noted for the magnetic field. The primary focus of this research lies in the development of suitable non-similar transformations for the investigated problem, aiming to yield authentic and efficient results. These results hold substantial promise to make meaningful contributions to future research on nanofluid flows.
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