Curvature suppresses the Rayleigh-Taylor instability

被引：37

作者：

Trinh, Philippe H. ^{[1
]}

Kim, Hyoungsoo ^{[2
]}

Hammoud, Naima ^{[3
]}

Howell, Peter D. ^{[1
]}

Chapman, S. Jonathan ^{[1
]}

Stone, Howard A. ^{[2
]}

机构：

[1] Univ Oxford, Math Inst, Oxford Ctr Ind & Appl Math, Oxford OX2 6GG, England

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

[3] Princeton Univ, Program Appl & Computat Math, Princeton, NJ 08544 USA

来源：

PHYSICS OF FLUIDS | 2014年 / 26卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

SURFACE-TENSION; ROTATING CYLINDER; COATING FLOWS; LAYER; FILM;

D O I：

10.1063/1.4876476

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The dynamics of a thin liquid film on the underside of a curved cylindrical substrate is studied. The evolution of the liquid layer is investigated as the film thickness and the radius of curvature of the substrate are varied. A dimensionless parameter (a modified Bond number) that incorporates both geometric parameters, gravity, and surface tension is identified, and allows the observations to be classified according to three different flow regimes: stable films, films with transient growth of perturbations followed by decay, and unstable films. Experiments and linear stability theory confirm that below a critical value of the Bond number curvature of the substrate suppresses the Rayleigh-Taylor instability. (C) 2014 AIP Publishing LLC.

引用

页数：7

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