Stability of a two-layer binary fluid system with diffuse interface

Stability of a two-layer binary fluid system with diffuse interface
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具有扩散界面的双层二元流体系统的稳定性

DOI:
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发表时间:
2007
期刊:
影响因子:
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通讯作者:
A. Golovin
A. Golovin
中科院分区:
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文献类型:
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作者:
A. Nepomnyashchy;O. Frolovskaya;A. Oron;A. Golovin

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二元流体的相分离可能导致在固体基质上产生两个不同浓度的水平流体层,并被扩散界面分开。在Cahn-Hilliard方程的框架下,解析和数值分析表明,这种层状系统受到横向不稳定的影响,从而产生缓慢粗化的多域结构。利用流体动力学方程和浓度非线性方程(H模型)的耦合系统,研究了重力、自由边界的溶解毛细效应和扩散界面内的Korteweg应力对层稳定性的影响。找到了长波不稳定性的参数区域。
The phase separation of a binary fluid can lead to the creation of two horizontal fluid layers with different concentrations resting on a solid substrate and divided by a diffuse interface. In the framework of the Cahn–Hilliard equation, it is shown analytically and numerically that such a layered system is subject to a transverse instability that generates a slowly coarsening multidomain structure. The influence of gravity, solutocapillary effect at the free boundary, and Korteweg stresses inside the diffuse interface on the stability of the layers is studied using the coupled system of the hydrodynamic equations and the nonlinear equation for the concentration (H model). The parameter regions of long-wave instabilities are found.