Nonlinear dynamics of three-dimensional long-wave Marangoni instability in thin liquid films

2000 ◽  
Vol 12 (7) ◽  
pp. 1633-1645 ◽  
Author(s):  
Alexander Oron
Keyword(s):  
Nonlinear Dynamics ◽  
Three Dimensional ◽  
Liquid Films ◽  
Thin Liquid Films ◽  
Marangoni Instability ◽  
Long Wave

The mechanism for the long-wave instability in thin liquid films

1990 ◽  
Vol 217 ◽  
pp. 469-485 ◽  
Author(s):  
Marc K. Smith
Keyword(s):  
Physical Mechanism ◽  
Thin Liquid Film ◽  
Liquid Films ◽  
Thin Liquid Films ◽  
The Other ◽  
Wave Instability ◽  
Inclined Plane ◽  
Long Wave ◽  
The Many ◽  
Large Groups

A physical mechanism for the long-wave instability of thin liquid films is presented. We show that the many diverse systems that exhibit this instability can be classified into two large groups. Each group is studied using the model of a thin liquid film with a deformable top surface flowing down a rigid inclined plane. In the first group, the top surface has an imposed stress, while in the other, an imposed velocity. The proposed mechanism shows how the details of the energy transfer from the basic state to the disturbance are handled differently in each of these cases, and how a common growth mechanism produces the unstable motion of the disturbance.

Nonlinear dynamics of thin liquid films consisting of two miscible components

2012 ◽  
Vol 86 (5) ◽  
Author(s):  
Rodica Borcia ◽  
Ion Dan Borcia ◽  
Michael Bestehorn
Keyword(s):  
Nonlinear Dynamics ◽  
Liquid Films ◽  
Thin Liquid Films

A Nonlinear Three-Dimensional Rupture Theory of Thin Liquid Films

1997 ◽  
Vol 190 (1) ◽  
pp. 250-252 ◽  
Author(s):  
Chi-Chuan Hwang ◽  
Chaur-Kie Lin ◽  
Wu-Yih Uen
Keyword(s):  
Three Dimensional ◽  
Liquid Films ◽  
Thin Liquid Films

Nonlinear Dynamics of Electrified Thin Liquid Films

2007 ◽  
Vol 67 (5) ◽  
pp. 1310-1329 ◽  
Author(s):  
Dmitri Tseluiko ◽  
Demetrios T. Papageorgiou
Keyword(s):  
Nonlinear Dynamics ◽  
Liquid Films ◽  
Thin Liquid Films
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