2-DIMENSIONAL PATTERNS IN RAYLEIGH-TAYLOR INSTABILITY OF A THIN-LAYER

被引：135

作者：

FERMIGIER, M ^{[1
]}

LIMAT, L ^{[1
]}

WESFREID, JE ^{[1
]}

BOUDINET, P ^{[1
]}

QUILLIET, C ^{[1
]}

机构：

[1] ECOLE SUPER PHYS & CHIM IND, PHYSICOCHIM THEROR LAB, F-75231 PARIS 05, FRANCE

来源：

JOURNAL OF FLUID MECHANICS | 1992年 / 236卷

关键词：

D O I：

10.1017/S0022112092001447

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We study experimentally and theoretically the evolution of two-dimensional patterns in the Rayleigh-Taylor instability of a thin layer of viscous fluid spread on a solid surface. Various kinds of patterns of different symmetries are observed, with possible transition between patterns, the preferred symmetries being the axial and hexagonal ones. Starting from the lubrication hypothesis, we derive the nonlinear evolution equation of the interface, and the amplitude equation of its Fourier components. The evolution laws of the different patterns are calculated at order two or three, the preferred symmetries being related to the non-invariance of the system by amplitude reflection. We also discuss qualitatively the dripping at final stage of the instability.

引用

页码：349 / 383

页数：35

共 49 条

[1]

Abramowitz M., 1970, HDB MATH FUNCTIONS F

[2]

[Anonymous], 1987, LOW GRAVITY FLUID ME

[3] NON-LINEAR SATURATION OF RAYLEIGH-TAYLOR INSTABILITY IN THIN-FILMS [J].

BABCHIN, AJ ;

FRENKEL, AL ;

LEVICH, BG ;

SIVASHINSKY, GI .

PHYSICS OF FLUIDS, 1983, 26 (11) :3159-3161

[4]

Batchelor C.K., 1967, INTRO FLUID DYNAMICS, V1st ed.

[5] LONG WAVES ON LIQUID FILMS [J].

BENNEY, DJ .

JOURNAL OF MATHEMATICS AND PHYSICS, 1966, 45 (02) :150-&

[6]

Berenson P.J., 1962, INT J HEAT MASS TRAN, V5, P985, DOI DOI 10.1016/0017-9310(62)90079-0

[7] MULTIFURCATION OF PATTERNS IN FERROFLUIDS [J].

BOUDOUVIS, AG ;

SCRIVEN, LE .

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1990, 85 (1-3) :155-158

[8] RAYLEIGH-TAYLOR INSTABILITY IN A FINITE THICKNESS LAYER OF A VISCOUS-FLUID [J].

BROWN, HR .

PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1989, 1 (05) :895-896

[9] NONLINEAR PROPERTIES OF THERMAL-CONVECTION [J].

BUSSE, FH .

REPORTS ON PROGRESS IN PHYSICS, 1978, 41 (12) :1929-&

[10] BIFURCATION ON THE HEXAGONAL LATTICE AND THE PLANAR BENARD-PROBLEM [J].

BUZANO, E ;

GOLUBITSKY, M .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1983, 308 (1505) :617-667

← 1 2 3 4 5 →