Gravity modulation and its impact on weakly nonlinear bio-thermal convection in a porous layer under rotation: a Ginzburg-Landau model approach

IF 2.5 4区工程技术 Q2 ENGINEERING, MECHANICAL

Journal of Porous Media Pub Date : 2024-02-01 DOI:10.1615/jpormedia.2024049514

Michael Kopp, Vladimir Yanovsky

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Abstract

The effect of gravity modulation on weakly nonlinear bio-thermal convection in a porous rotating layer has been investigated in this study. The system under consideration is a porous medium layer saturated with a Newtonian fluid containing gyrotactic microorganisms, and it is subjected to both gravity modulation and rotation. Through a weakly nonlinear analysis, the behavior of the system at finite amplitudes is studied. The Ginzburg-Landau equation, obtained from perturbation analysis, provides insights into the system's behavior in the presence of gravity modulation. The amplitude of convection in the unmodulated case is determined analytically, serving as a reference for comparison. The research explores the influence of various parameters on the system, including the Vadasz number, modified Rayleigh-Darcy number, Taylor number, cell eccentricity, and modulation parameters such as amplitude and frequency. By varying these parameters, the heat transfer, quantified by the Nusselt number, is analyzed and compared in different cases. The modulation amplitude is found to have a significant effect on enhancing heat transfer, while the modulation frequency has a diminishing effect.

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重力调制及其对旋转下多孔层中弱非线性生物热对流的影响：一种金兹堡-朗道模型方法

本研究探讨了重力调制对多孔旋转层中弱非线性生物热对流的影响。所考虑的系统是一个饱和牛顿流体的多孔介质层，其中含有回转微生物，同时受到重力调制和旋转的影响。通过弱非线性分析，研究了系统在有限振幅下的行为。从扰动分析中得到的金兹堡-朗道方程为系统在重力调制下的行为提供了启示。研究探讨了各种参数对系统的影响，包括瓦达斯数、修正的瑞利-达西数、泰勒数、电池偏心率以及振幅和频率等调制参数。通过改变这些参数，分析并比较了不同情况下以努塞尔特数量化的传热情况。结果发现，调制振幅对增强传热有显著作用，而调制频率的作用则逐渐减弱。

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 工程技术-工程：机械

CiteScore

3.50

自引率

8.70%

发文量

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.