辐射对垂直通道中 MHD 微极性流体稳定性的影响

IF 2.5 3区工程技术 Q2 MECHANICS

European Journal of Mechanics B-fluids Pub Date : 2024-09-18 DOI:10.1016/j.euromechflu.2024.09.003

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引用次数: 0

摘要

本文旨在探讨存在热辐射和横向磁场时垂直通道中微极性流体流动的稳定性。利用切比雪夫频谱配位法对广义特征值问题进行了数值求解，该方法是利用法模技术从扰动状态得到的。数值数据与之前公布的特定情况下的结果进行了比较。计算了临界修正格拉肖夫数（Grc′）和相关波数（αc），并以图形显示了不同参数值。我们注意到，由于磁场和热辐射的存在，不稳定性的边界可能会随着流动调节参数的变化而增大或减小。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Influence of radiation on the stability of MHD micropolar fluid in a vertical channel

The objective of the present article is to explore the stability of micropolar fluid flow in a vertical channel in the presence of thermal radiation and a transverse magnetic field. The generalized eigenvalue problem is numerically solved by utilizing the Chebyshev spectral collocation method, which is obtained from the perturbed state using the normal mode technique. The numerical data were compared with previously published results for particular cases. The critical modified Grashof number ( $G r_{c}^{'}$ ) and the associated wave numbers ( $α_{c}$ ) are calculated and displayed graphically for different values of the parameters. It is noticed that the boundaries of instability may be increased or decreased with the flow governing parameters because of the presence of a magnetic field and thermal radiation.

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来源期刊

European Journal of Mechanics B-fluids 物理-力学

CiteScore

5.90

自引率

3.80%

发文量

127

审稿时长

58 days

期刊介绍： The European Journal of Mechanics - B/Fluids publishes papers in all fields of fluid mechanics. Although investigations in well-established areas are within the scope of the journal, recent developments and innovative ideas are particularly welcome. Theoretical, computational and experimental papers are equally welcome. Mathematical methods, be they deterministic or stochastic, analytical or numerical, will be accepted provided they serve to clarify some identifiable problems in fluid mechanics, and provided the significance of results is explained. Similarly, experimental papers must add physical insight in to the understanding of fluid mechanics.