多孔介质中的微结构演化和流体传输:形式渐近展开法

IF 2.2 3区 工程技术 Q2 MECHANICS
Quentin Rousseau, Giulio Sciarra
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引用次数: 0

摘要

本文利用双尺度渐近展开法研究了饱和多孔材料的微观结构演变对其行为的影响,这种微观结构是由多孔网络中固相和流体相之间的质量交换引起的。首先提出了流经多孔网络的流体物理的热力学一致模型,通过水平集方法隐式地描述了微观结构的变化。然后应用双尺度渐近展开法获得一个能够考虑质量传递的放大模型。最后一个模型不仅取决于流体压力和化学势等宏观力的梯度,还取决于固-流界面的平均速度。使用有限元法进行了数值模拟,以评估新引入项的相对权重。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Microstructure evolution and fluid transport in porous media: a formal asymptotic expansions approach

Microstructure evolution and fluid transport in porous media: a formal asymptotic expansions approach

Microstructure evolution and fluid transport in porous media: a formal asymptotic expansions approach

This paper investigates the effects on the behavior of a saturated porous material of an evolving microstructure induced by the mass exchange between the solid and the fluid phases saturating the porous network, using two-scale asymptotic expansions. A thermodynamically consistent model of the fluid physics flowing through the porous network is proposed first, describing microstructure variations to be captured implicitly via the level set method. The two-scale asymptotic expansions method is then applied to obtain an upscaled model capable to account for mass transfer. This last is proven to depend not only on the gradient of the macroscopic forces, such as the fluid pressure and the chemical potential, but also on the average velocity of the solid–fluid interface. Numerical simulations are carried out using the finite element method in order to evaluate the relative weight of the new terms introduced.

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来源期刊
CiteScore
4.40
自引率
10.70%
发文量
234
审稿时长
4-8 weeks
期刊介绍: Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.
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