通过旋转拉伸盘的 MHD 混合纳米流体流动的 Yamada-Ota 模型和 Xue 模型的比较研究:稳定性分析

IF 4 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Muhammad Yousuf Rafiq, Ayesha Sabeen, Aqeel ur Rehman, Zaheer Abbas
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引用次数: 0

摘要

目的 旋转盘产生的混合纳米流体流应用广泛,包括离心泵、造纸、聚合物凋亡、空气过滤系统、汽车冷却和太阳能集热器。本研究旨在利用 Yamada-Ota 和 Xue 模型研究经过可拉伸旋转表面的混合纳米流体的对流热传输和磁流体力学(MHD)流动,以及热量产生和热辐射的影响。利用相似变换将问题的控制偏微分方程转换为常微分方程系统。然后,利用 MATLAB 软件中的 bvp4c 函数求得数值解。研究结果在一定的不稳定性参数范围内发现了两个解分支。当热辐射和热量产生效应增加时,流体温度和热量传输速率都会提高。Yamada-Ota 模型的温度高于 Xue 模型。原创性/价值 据作者所知,本研究利用 Yamada-Ota 和 Xue 模型的扩展版本研究了具有对流换热的 MHD 混合纳米流体流动,其结果具有原创性和新颖性。此外,通过考虑热量产生和热辐射的影响,本研究的新颖性得到了提高。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Comparative study of Yamada-Ota and Xue models for MHD hybrid nanofluid flow past a rotating stretchable disk: stability analysis

Purpose

The hybrid nanofluid flow due to a rotating disk has numerous applications, including centrifugal pumps, paper production, polymers dying, air filtration systems, automobile cooling and solar collectors. This study aims to investigate the convective heat transport and magnetohydrodynamics (MHD) hybrid nanofluid flow past a stretchable rotating surface using the Yamada-Ota and Xue models with the impacts of heat generation and thermal radiation.

Design/methodology/approach

The carbon nanotubes such as single-wall carbon nanotubes and multi-wall carbon nanotubes are suspended in a base fluid like water to make the hybrid nanofluid. The problem’s governing partial differential equations are transformed into a system of ordinary differential equations using similarity transformations. Then, the numerical solutions are found with a bvp4c function in MATLAB software. The impacts of pertinent parameters on the flow and temperature fields are depicted in tables and graphs.

Findings

Two solution branches are discovered in a certain range of unsteadiness parameters. The fluid temperature and the rate of heat transport are enhanced when the thermal radiation and heat generation effects are increased. The Yamada-Ota model has a higher temperature than the Xue model. Furthermore, it is observed that only the first solution remains stable when the stability analysis is implemented.

Originality/value

To the best of the authors’ knowledge, the results stated are original and new with the investigation of MHD hybrid nanofluid flow with convective heat transfer using the extended version of Yamada-Ota and Xue models. Moreover, the novelty of the present study is improved by taking the impacts of heat generation and thermal radiation.

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来源期刊
CiteScore
9.50
自引率
11.90%
发文量
100
审稿时长
6-12 weeks
期刊介绍: The main objective of this international journal is to provide applied mathematicians, engineers and scientists engaged in computer-aided design and research in computational heat transfer and fluid dynamics, whether in academic institutions of industry, with timely and accessible information on the development, refinement and application of computer-based numerical techniques for solving problems in heat and fluid flow. - See more at: http://emeraldgrouppublishing.com/products/journals/journals.htm?id=hff#sthash.Kf80GRt8.dpuf
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