Contact line stability and "undercompressive shocks" in driven thin film flow

被引：87

作者：

Bertozzi, AL ^{[1
]}

Münch, A

Fanton, X

Cazabat, AM

机构：

[1] Duke Univ, Dept Math, Durham, NC 27708 USA

[2] Duke Univ, Dept Phys, Durham, NC 27708 USA

[3] Coll France, Lab Matiere Condensee, F-75231 Paris, France

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 81卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.81.5169

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present new experimental results for films driven by a thermal gradient with an opposing gravitational force. When the gravitational effect becomes non-negligible, the advancing front produces a very large capillary ridge which shows a remarkable tendency to remain stable. This phenomenon can be explained by new mathematical results for a lubrication model of the experiment. The advancing front evolves into an "undercompressive" capillary shock structure which is stable to contact line perturbations, unlike typical capillary ridges in driven film flows. [S0031-9007(98)07868-5].

引用

页码：5169 / 5172

页数：4

共 15 条

[1] Linear stability and transient growth in driven contact lines
Bertozzi, AL
Brenner, MP
[J]. PHYSICS OF FLUIDS, 1997, 9 (03) : 530 - 539
[2] BERTOZZI AL, IN PRESS
[3] THE THICKNESS OF SURFACE-TENSION-GRADIENT-DRIVEN SPREADING FILMS
CARLES, P
CAZABAT, AM
[J]. JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1993, 157 (01) : 196 - 201
[4] FINGERING INSTABILITY OF THIN SPREADING FILMS DRIVEN BY TEMPERATURE-GRADIENTS
CAZABAT, AM
HESLOT, F
TROIAN, SM
CARLES, P
[J]. NATURE, 1990, 346 (6287) : 824 - 826
[5] GROWTH OF FINGERS AT A DRIVEN 3-PHASE CONTACT LINE
DEBRUYN, JR
[J]. PHYSICAL REVIEW A, 1992, 46 (08): : R4500 - R4503
[6] WETTING - STATICS AND DYNAMICS
DEGENNES, PG
[J]. REVIEWS OF MODERN PHYSICS, 1985, 57 (03) : 827 - 863
[7] Thickness and shape of films driven by a Marangoni flow
Fanton, X
Cazabat, AM
Quere, D
[J]. LANGMUIR, 1996, 12 (24) : 5875 - 5880
[8] HAYES B, IN PRESS P R SOC E A
[9] FLOW AND INSTABILITY OF A VISCOUS CURRENT DOWN A SLOPE
HUPPERT, HE
[J]. NATURE, 1982, 300 (5891) : 427 - 429
[10] Stabilizing the advancing front of thermally driven climbing films
Kataoka, DE
Troian, SM
[J]. JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1998, 203 (02) : 335 - 344

← 1 2 →