Imperfectly Impermeable Boundaries and Variable Viscosity Perspectives on the Stability of Natural Convection in a Vertical Porous Layer

IF 2.7 3区工程技术 Q3 ENGINEERING, CHEMICAL

Transport in Porous Media Pub Date : 2024-06-18 DOI:10.1007/s11242-024-02098-5

B. M. Shankar, I. S. Shivakumara

引用次数: 0

Abstract

This study examines the simultaneous impact of temperature-dependent viscosity and Robin boundary conditions on velocity, focusing on analyzing the stability of buoyant parallel flow in a differentially heated vertical porous layer. The neutral stability condition and the instability thresholds are determined numerically for various values of governing parameters. The onset of instability of the base flow is accurately analyzed by introducing a non-negative parameter that measures the extent of departure of boundaries from impermeable to permeable. It is established that the base flow becomes unstable when this parameter exceeds a threshold value, which significantly depends on the variable viscosity parameter. This work demonstrates a clear bridge between impermeable and permeable boundaries in the context of a variable viscosity fluid.

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垂直多孔层中自然对流稳定性的不完全不透水边界和可变粘度视角

本研究探讨了与温度相关的粘度和罗宾边界条件对速度的同时影响，重点分析了不同加热垂直多孔层中浮力平行流的稳定性。通过数值计算确定了不同调节参数值下的中性稳定条件和不稳定阈值。通过引入一个非负参数来测量边界从不透水到透水的偏离程度，准确分析了基底流开始失稳的原因。结果表明，当这一参数超过临界值时，基底流就会变得不稳定，而这一临界值在很大程度上取决于可变粘度参数。这项研究表明，在可变粘度流体的情况下，不透水边界和透水边界之间存在着一座清晰的桥梁。

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

Transport in Porous Media 工程技术-工程：化工

CiteScore

5.30

自引率

7.40%

发文量

155

审稿时长

4.2 months

期刊介绍： -Publishes original research on physical, chemical, and biological aspects of transport in porous media- Papers on porous media research may originate in various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering)- Emphasizes theory, (numerical) modelling, laboratory work, and non-routine applications- Publishes work of a fundamental nature, of interest to a wide readership, that provides novel insight into porous media processes- Expanded in 2007 from 12 to 15 issues per year. Transport in Porous Media publishes original research on physical and chemical aspects of transport phenomena in rigid and deformable porous media. These phenomena, occurring in single and multiphase flow in porous domains, can be governed by extensive quantities such as mass of a fluid phase, mass of component of a phase, momentum, or energy. Moreover, porous medium deformations can be induced by the transport phenomena, by chemical and electro-chemical activities such as swelling, or by external loading through forces and displacements. These porous media phenomena may be studied by researchers from various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering).