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考虑太阳辐射效应时纳米流体向收缩平板的磁流体动力学驻点流动的非唯一解

Non-Unique Solutions of Magnetohydrodynamic Stagnation Flow of a Nanofluid towards a Shrinking Sheet Using the Solar Radiation Effect.

作者信息

Alabdulhadi Sumayyah, Ishak Anuar, Waini Iskandar, Ahmed Sameh E

机构信息

Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), Bangi 43600, Malaysia.

Department of Mathematics, Faculty of Science, Qassim University, Qassim 52571, Saudi Arabia.

出版信息

Micromachines (Basel). 2023 Feb 27;14(3):565. doi: 10.3390/mi14030565.

Abstract

This study aims to investigate the magnetohydrodynamic flow induced by a moving surface in a nanofluid and the occurrence of suction and solar radiation effects using the Buongiorno model. The numerical findings are obtained using MATLAB software. The effects of various governing parameters on the rates of heat and mass transfer along with the nanoparticles concentration and temperature profiles are elucidated graphically. Non-unique solutions are discovered for a specific variation of the shrinking strength. The temporal stability analysis shows that only one of them is stable as time passes. Furthermore, raising the Brownian motion parameter reduces both the local Sherwood number and the local Nusselt number for both solutions. It is also observed that increasing the thermophoresis parameter reduces the rate of heat transfer, whereas the opposite trend is observed for the rate of mass transfer.

摘要

本研究旨在利用布翁焦尔诺模型研究纳米流体中移动表面引起的磁流体动力学流动以及抽吸和太阳辐射效应的发生情况。使用MATLAB软件获得了数值结果。以图形方式阐明了各种控制参数对传热和传质速率以及纳米颗粒浓度和温度分布的影响。对于收缩强度的特定变化发现了非唯一解。时间稳定性分析表明,随着时间的推移,其中只有一个是稳定的。此外,提高布朗运动参数会降低两种解的局部舍伍德数和局部努塞尔数。还观察到,增加热泳参数会降低传热速率,而传质速率则呈现相反的趋势。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed90/10057090/15662d224a87/micromachines-14-00565-g001.jpg

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