Nonlinear instabilities and pathways of rupture in thin liquid bilayers

被引:53
作者
Bandyopadhyay, Dipankar [1 ]
Sharma, Ashutosh [1 ]
机构
[1] Indian Inst Technol, Dept Chem Engn, Kanpur 208016, Uttar Pradesh, India
关键词
D O I
10.1063/1.2221679
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
A long-wave nonlinear analysis of dewetting of thin (< 100 nm) liquid bilayers on solid substrates is presented. The short and the long time dynamics, interfacial morphologies, and the pathways of rupture and dewetting are studied to assess the roles of interfacial energies, film thicknesses, and viscosities. The twin interfaces (liquid-liquid and liquid-air) of bilayers under the influence of attractive van der Waals forces show a variety of dewetting pathways which, depending on the interfacial energies and film thicknesses, initially start with one of the two basic modes of instability-in-phase bending and out-of-phase squeezing. These short time modes of evolution and the extent of relative deformations at the interfaces are predicted from the linear stability analysis and verified by the nonlinear simulations. Simulations also show that in the later nonlinear regime, the intermolecular and viscous forces can profoundly modify the initial mode of instability and its growth rate leading to different pathways of dewetting and late stage morphologies. The complex late time patterns such as embedded droplets, inversion of top and bottom phases, and encapsulation of one fluid into the other are also engendered by tuning the intermolecular forces. (c) 2006 American Institute of Physics.
引用
收藏
页数:13
相关论文
共 45 条
[1]   Instability and dynamics of thin liquid bilayers [J].
Bandyopadhyay, D ;
Gulabani, R ;
Sharma, A .
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 2005, 44 (05) :1259-1272
[2]   Dewetting of supported viscoelastic polymer films: Birth of rims [J].
BrochardWyart, F ;
Debregeas, G ;
Fondecave, R ;
Martin, P .
MACROMOLECULES, 1997, 30 (04) :1211-1213
[3]   Ionic strength dependence of localized contact formation between membranes: Nonlinear theory and experiment [J].
Coakley, WT ;
Gallez, D ;
de Souza, ER ;
Gauci, H .
BIOPHYSICAL JOURNAL, 1999, 77 (02) :817-828
[4]   Electrically induced pattern formation in thin leaky dielectric films [J].
Craster, RV ;
Matar, OK .
PHYSICS OF FLUIDS, 2005, 17 (03) :032104-1
[5]   Stability of evaporating two-layered liquid film in the presence of surfactant - I. The equations of lubrication approximation [J].
Danov, KD ;
Paunov, VN ;
Alleborn, N ;
Raszillier, H ;
Durst, F .
CHEMICAL ENGINEERING SCIENCE, 1998, 53 (15) :2809-2822
[6]   Stability of evaporating two-layered liquid film in the presence of surfactant - II. Linear analysis [J].
Danov, KD ;
Paunov, VN ;
Stoyanov, SD ;
Alleborn, N ;
Raszillier, H ;
Durst, F .
CHEMICAL ENGINEERING SCIENCE, 1998, 53 (15) :2823-2837
[7]   Pattern formation in thin liquid films with insoluble surfactants [J].
de Souza, ER ;
Gallez, D .
PHYSICS OF FLUIDS, 1998, 10 (08) :1804-1814
[8]   WETTING - STATICS AND DYNAMICS [J].
DEGENNES, PG .
REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :827-863
[9]   Nonlinear stability analysis of a two-layer thin liquid film: Dewetting and autophobic behavior [J].
Fisher, LS ;
Golovin, AA .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 2005, 291 (02) :515-528
[10]   Dynamics and morphology of holes in dewetting of thin films [J].
Ghatak, A ;
Khanna, R ;
Sharma, A .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1999, 212 (02) :483-494