THE EFFECT OF COUPLE STRESSES ON STABILITY ANALYSIS OF MAGNETIZED FERROFLUID SATURATING A POROUS MEDIUM HEATED FROM BELOW

IF 2.5 4区工程技术 Q2 ENGINEERING, MECHANICAL

Journal of Porous Media Pub Date : 2023-11-01 DOI:10.1615/jpormedia.2023050054

Akanksha Thakur, Sunil Kumar, Reeta Devi

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Abstract

This work aims to inspect the impact of couple stress forces on the convective stability of magnetized ferrofluid saturating a porous medium for different combinations of bounding surfaces. Both linear and nonlinear analyses are conducted to obtain eigenvalue problems. Normal mode analysis is used for linear analysis, while the energy method is used for nonlinear analysis, and a generalized energy functional is introduced. For solving eigenvalue problems, the Galerkin method is employed. It is found that the Rayleigh numbers for the two analyses did not match, suggesting the existence of a subcritical region. Furthermore, it is observed that the subcritical region decreased as the magnetic parameter increased, whereas an increase in the couple stress parameter increased the subcritical region. The effect of medium permeability has been found to be destabilizing. For this analysis, three combinations of bounding surfaces are considered. It is also observed that fluid confined in the rigid-rigid bounding surface is more thermally stable, which is suitable for convection in ferrofluid.

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耦合应力对磁化铁磁流体饱和多孔介质稳定性分析的影响

本文研究了不同边界面组合下，耦合应力对磁化铁磁流体饱和多孔介质对流稳定性的影响。对特征值问题进行了线性和非线性分析。线性分析采用正态分析，非线性分析采用能量法，并引入广义能量泛函。对于特征值问题，采用伽辽金方法求解。发现两种分析的瑞利数不匹配，表明存在亚临界区域。随着磁参量的增大，亚临界区减小，而随着偶联应力参量的增大，亚临界区增大。介质渗透率的影响已被发现是不稳定的。在此分析中，考虑了三种边界面的组合。研究还发现，约束在刚性-刚性边界面的流体具有较好的热稳定性，适合于铁磁流体中的对流。

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.