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.

中文翻译：

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MHD 混合纳米流体流过旋转可拉伸圆盘的 Yamada-Ota 和 Xu 模型的比较研究：稳定性分析

 目的

旋转盘产生的混合纳米流体流动具有多种应用，包括离心泵、造纸、聚合物染色、空气过滤系统、汽车冷却和太阳能集热器。本研究旨在使用 Yamada-Ota 和 Xu 模型研究流过可拉伸旋转表面的对流热传输和磁流体动力学 (MHD) 混合纳米流体对生热和热辐射的影响。

设计/方法论/途径

将诸如单壁碳纳米管和多壁碳纳米管的碳纳米管悬浮在诸如水的基液中以制成混合纳米流体。使用相似变换将问题的控制偏微分方程转换为常微分方程组。然后，使用 MATLAB 软件中的 bvp4c 函数找到数值解。相关参数对流场和温度场的影响如表格和图表所示。

 发现

在一定的非稳定性参数范围内发现了两个解分支。当热辐射和生热效应增加时，流体温度和传热速率提高。 Yamada-Ota 模型的温度高于雪模型。此外，据观察，当实施稳定性分析时，只有第一个解保持稳定。

 原创性/价值

据作者所知，通过使用山田-太田和薛模型的扩展版本对具有对流换热的 MHD 混合纳米流体流动进行研究，所得出的结果是原创的和新颖的。此外，通过考虑生热和热辐射的影响，提高了本研究的新颖性。