Two-Phase Fluid Displacement and Interfacial Instabilities Under Elastic Membranes

被引：61

作者：

Al-Housseiny, Talal T. ^{[1
]}

Christov, Ivan C. ^{[2
]}

Stone, Howard A. ^{[2
]}

机构：

[1] Princeton Univ, Dept Chem & Biol Engn, Princeton, NJ 08544 USA

[2] Princeton Univ, Dept Mech & Aerosp Engn, Princeton, NJ 08544 USA

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 111卷 / 03期

基金：

美国国家科学基金会;

关键词：

HELE-SHAW CELL; VISCOUS LIQUID; MEDIA;

D O I：

10.1103/PhysRevLett.111.034502

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the elastic version of the Saffman-Taylor problem: the Hele-Shaw displacement of a viscous liquid by a gas underneath an elastic membrane. We derive the dynamics of the propagating gas-liquid interface and of the deforming membrane. Even though the displacement of a viscous liquid by a gas is susceptible to viscous fingering, the presence of the elastic boundary can lead to the suppression of the instability. We demonstrate how the mechanism of suppression is provided by surface tension at the gas-liquid interface owing to the tapered flow geometry underneath the deflected membrane. We also determine the critical conditions for the onset of the fingering instability in the presence of the elastic boundary.

引用

页数：5

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