开放边界、异常扩散与达西-巴纳德不稳定性

IF 2.7 3区 工程技术 Q3 ENGINEERING, CHEMICAL
A. Barletta, D. A. S. Rees, M. Celli, P. V. Brandão
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引用次数: 0

摘要

本文重新讨论了受非均匀溶质浓度场影响的二元流体饱和水平多孔层中的达西-巴萨纳德不稳定性的经典问题。特别地,采用了一种与经典菲克扩散不同的广义反常扩散模型,并考虑了亚扩散或超扩散现象。在多孔层边界处,施加均匀的垂直浓度梯度,从而产生不稳定的密度分层。边界建模为开放的,这意味着规定了均匀的压力条件。对基本静止状态进行了线性稳定性分析,显示了偏离经典菲克扩散如何显著影响不稳定性开始的条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Open Boundaries, Anomalous Diffusion and the Darcy-Bénard Instability

The classical problem of the Darcy-Bénard instability in a horizontal porous layer saturated by a binary fluid mixture and subject to a non-uniform solutal concentration field is revisited. In particular, a generalised anomalous diffusion model departing from the classical Fickian diffusion and accounting for subdiffusion or superdiffusion phenomena is employed. At the porous layer boundaries, a uniform vertical concentration gradient is imposed, so that an unstable density stratification arises. The boundaries are modelled as open, meaning that uniform pressure conditions are prescribed. A linear stability analysis of the basic rest state is carried out, showing how the departure from the classical Fickian diffusion affects dramatically the conditions for the onset of the instability.

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来源期刊
Transport in Porous Media
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).
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