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

被引:88
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
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
收藏
页码:5169 / 5172
页数:4
相关论文
共 15 条
[1]   Linear stability and transient growth in driven contact lines [J].
Bertozzi, AL ;
Brenner, MP .
PHYSICS OF FLUIDS, 1997, 9 (03) :530-539
[2]  
BERTOZZI AL, IN PRESS
[3]   THE THICKNESS OF SURFACE-TENSION-GRADIENT-DRIVEN SPREADING FILMS [J].
CARLES, P ;
CAZABAT, AM .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1993, 157 (01) :196-201
[4]   FINGERING INSTABILITY OF THIN SPREADING FILMS DRIVEN BY TEMPERATURE-GRADIENTS [J].
CAZABAT, AM ;
HESLOT, F ;
TROIAN, SM ;
CARLES, P .
NATURE, 1990, 346 (6287) :824-826
[5]   GROWTH OF FINGERS AT A DRIVEN 3-PHASE CONTACT LINE [J].
DEBRUYN, JR .
PHYSICAL REVIEW A, 1992, 46 (08) :R4500-R4503
[6]   WETTING - STATICS AND DYNAMICS [J].
DEGENNES, PG .
REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :827-863
[7]   Thickness and shape of films driven by a Marangoni flow [J].
Fanton, X ;
Cazabat, AM ;
Quere, D .
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 [J].
HUPPERT, HE .
NATURE, 1982, 300 (5891) :427-429
[10]   Stabilizing the advancing front of thermally driven climbing films [J].
Kataoka, DE ;
Troian, SM .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1998, 203 (02) :335-344