Contact line instabilities of thin liquid films

被引:70
作者
Diez, JA
Kondic, L
机构
[1] Univ Nacl, Ctr Prov Buenos Aires, Inst Fis Arroyo Secco, RA-7000 Tandil, Argentina
[2] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA
[3] New Jersey Inst Technol, Ctr Appl Math & Stat, Newark, NJ 07102 USA
关键词
D O I
10.1103/PhysRevLett.86.632
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present results of fully nonlinear time-dependent simulations of a thin liquid film flowing down an inclined plane. Within the lubrication approximation, and assuming complete wetting, we find that varying the inclination angle considerably modifies the shape of the emerging patterns (fingers versus sawtooth). Our results strongly suggest that the shape of the patterns is not necessarily related to either partial or complete coverage of the substrate, a technologically important feature of the flow. We find quantitative agreement with reported experiments and suggest new ones.
引用
收藏
页码:632 / 635
页数:4
相关论文
共 19 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]   INSTABILITY MECHANISM AT DRIVEN CONTACT LINES [J].
BRENNER, MP .
PHYSICAL REVIEW E, 1993, 47 (06) :4597-4599
[3]   GROWTH OF FINGERS AT A DRIVEN 3-PHASE CONTACT LINE [J].
DEBRUYN, JR .
PHYSICAL REVIEW A, 1992, 46 (08) :R4500-R4503
[4]  
DIEZ J, IN PRESS PHYS REV E
[5]   MOVING CONTACT LINE - SLIP BOUNDARY-CONDITION [J].
DUSSANV, EB .
JOURNAL OF FLUID MECHANICS, 1976, 77 (OCT22) :665-684
[6]   Fingering phenomena for driven coating films [J].
Eres, MH ;
Schwartz, LW ;
Roy, RV .
PHYSICS OF FLUIDS, 2000, 12 (06) :1278-1295
[7]   AN EXPERIMENTAL-STUDY OF RIVULET INSTABILITIES IN CENTRIFUGAL SPIN-COATING OF VISCOUS NEWTONIAN AND NON-NEWTONIAN FLUIDS [J].
FRAYSSE, N ;
HOMSY, GM .
PHYSICS OF FLUIDS, 1994, 6 (04) :1491-1504
[8]   The growth of leading-edge distortions on a viscous sheet [J].
Hocking, LM ;
Debler, WR ;
Cook, KE .
PHYSICS OF FLUIDS, 1999, 11 (02) :307-313
[9]   FINGERING INSTABILITY OF A GRAVITATIONALLY DRIVEN CONTACT LINE [J].
JERRETT, JM ;
DEBRUYN, JR .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1992, 4 (02) :234-242
[10]   Experimental study of rivulet formation on an inclined plate by fluorescent imaging [J].
Johnson, MFG ;
Schluter, RA ;
Miksis, MJ ;
Bankoff, SG .
JOURNAL OF FLUID MECHANICS, 1999, 394 :339-354