伯格流体中的热对流

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2025-09-08 DOI:10.1007/s11565-025-00609-w

Brian Straughan

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引用次数: 0

摘要

研究了占据水平层的Burgers流体中的热对流问题。详细计算了线性失稳的阈值，确定了临界瑞利数和波数。利用Anatoly P. Oskolkov的分类表明，Burgers流体模型是麦克斯韦流体的自然延伸，人们也可以将其称为二阶麦克斯韦流体。将热对流阈值与常规麦克斯韦流体的阈值进行了比较，并显示了Burgers模型中新参数的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Thermal convection in a Burgers fluid

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Thermal convection in a Burgers fluid

The problem of thermal convection in a Burgers fluid occupying a horizontal layer is investigated. The thresholds for linear instability are calculated in detail and the critical Rayleigh and wave numbers are determined. Using a classification of Anatoly P. Oskolkov it is shown that the model for a Burgers fluid is a natural extension of a Maxwell fluid and one may also refer to it as a Maxwell fluid of order two. The thermal convection thresholds are compared to those for a regular Maxwell fluid and the effects of the new parameters in the Burgers model are displayed.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.