Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2004-12-16
Phys. Fluids 17, 064104 (2005)
Nonlinear Sciences
Pattern Formation and Solitons
Scientific paper
10.1063/1.1935487
We consider two-layers of immiscible liquids confined between an upper and a lower rigid plate. The dynamics of the free liquid-liquid interface is described for arbitrary amplitudes by a single evolution equation derived from the basic hydrodynamic equations using long-wave approximation. After giving the evolution equation in a general way, we focus on interface instabilities driven by gravity, thermocapillary and electrostatic fields. First, we study the linear stability discussing especially the conditions for destabilizing the system by heating from above or below. Second, we use a variational formulation of the evolution equation based on an energy functional to predict metastable states and the long-time pattern morphology (holes, drops or maze structures). Finally, fully nonlinear three-dimensional numerical integrations are performed to study the short- and long-time evolution of the evolving patterns. Different coarsening modes are discussed and long-time scaling exponents are extracted.
Bestehorn Michael
Merkt Domnic
Pototsky Andrey
Thiele Uwe
No associations
LandOfFree
Long-wave theory of bounded two-layer films with a free liquid-liquid interface: Short- and long-time evolution does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Long-wave theory of bounded two-layer films with a free liquid-liquid interface: Short- and long-time evolution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Long-wave theory of bounded two-layer films with a free liquid-liquid interface: Short- and long-time evolution will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-628887