Instability of thermosolutal convection in a Brinkman-Darcy-Kelvin-Voigt fluid

IF 2.5 4区 工程技术 Q2 ENGINEERING, MECHANICAL
Zaid Abbas Afluk, Akil Harfash
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Abstract

In this article, we investigate the problem of thermosolutal convection occurring in a Brinkman-Darcy-Kelvin-Voigt fluid. This phenomenon takes place when a layer is heated from beneath while also being exposed to salt either from the upper or lower side. Both linear instability and conditional nonlinear stability analyses are applied in this study. The linear and nonlinear systems have been solved using Chebyshev collocation technique and the QZ algorithm. The computation of instability boundaries is undertaken for the occurrence of thermosolutal convection in a fluid containing dissolved salt, where the fluid is of a complex viscoelastic nature resembling the Navier-Stokes-Voigt type. Notably, the Kelvin-Voigt parameter emerges as a critical factor in maintaining stability, particularly for oscillatory convection. In instances where the layer is heated from below and salted from above, the thresholds of stability align with those of instability, substantiating the appropriateness of the linear theory in predicting the thresholds for convection initiation. Conversely, when the layer is subjected to salting from the bottom while being heated, the thresholds of stability remain constant even with variations in the salt Rayleigh number. This leads to a significant disparity between the thresholds of linear instability and those of nonlinear stability.
布林克曼-达西-开尔文-伏依格特流体中的热固性对流的不稳定性
在本文中,我们研究了布林克曼-达西-开尔文-伏依格特流体中发生的热溶液对流问题。当一层从下面被加热,同时又从上侧或下侧暴露在盐中时,就会发生这种现象。本研究采用了线性不稳定性和条件非线性稳定性分析。线性和非线性系统均采用切比雪夫配位技术和 QZ 算法求解。不稳定性边界的计算是针对含溶解盐的流体中发生热溶解对流的情况,其中流体具有类似于 Navier-Stokes-Voigt 类型的复杂粘弹性。值得注意的是,Kelvin-Voigt 参数是保持稳定的关键因素,特别是在振荡对流中。在对流层从下往上加热、从上往下加盐的情况下,稳定性临界值与不稳定性临界值一致,这证明了线性理论在预测对流开始的临界值方面的适当性。相反,当层在加热的同时从底部加盐时,即使盐的雷利数发生变化,稳定临界值也保持不变。这就导致了线性不稳定性临界值与非线性稳定性临界值之间的巨大差异。
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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来源期刊
Journal of Porous Media
Journal of Porous Media 工程技术-工程:机械
CiteScore
3.50
自引率
8.70%
发文量
89
审稿时长
12.5 months
期刊介绍: The Journal of Porous Media publishes original full-length research articles (and technical notes) in a wide variety of areas related to porous media studies, such as mathematical modeling, numerical and experimental techniques, industrial and environmental heat and mass transfer, conduction, convection, radiation, particle transport and capillary effects, reactive flows, deformable porous media, biomedical applications, and mechanics of the porous substrate. Emphasis will be given to manuscripts that present novel findings pertinent to these areas. The journal will also consider publication of state-of-the-art reviews. Manuscripts applying known methods to previously solved problems or providing results in the absence of scientific motivation or application will not be accepted. Submitted articles should contribute to the understanding of specific scientific problems or to solution techniques that are useful in applications. Papers that link theory with computational practice to provide insight into the processes are welcome.
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