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Morphological transitions of sliding drops: Dynamics and bifurcations
- Source :
- Physical Review Fluids. 1
- Publication Year :
- 2016
- Publisher :
- American Physical Society (APS), 2016.
-
Abstract
- We study fully three-dimensional droplets that slide down an incline by employing a thin-film equation that accounts for capillarity, wettability, and a lateral driving force in small-gradient (or long-wave) approximation. In particular, we focus on qualitative changes in the morphology and behavior of stationary sliding drops. We employ the inclination angle of the substrate as control parameter and use continuation techniques to analyze for several fixed droplet sizes the bifurcation diagram of stationary droplets, their linear stability, and relevant eigenmodes. The obtained predictions on existence ranges and instabilities are tested via direct numerical simulations that are also used to investigate a branch of time-periodic behavior (corresponding to repeated breakup-coalescence cycles, where the breakup is also denoted as pearling) which emerges at a global instability, the related hysteresis in behavior, and a period-doubling cascade. The nontrivial oscillatory behavior close to a Hopf bifurcation of drops with a finite-length tail is also studied. Finally, it is shown that the main features of the bifurcation diagram follow scaling laws over several decades of the droplet size.
- Subjects :
- Fluid Flow and Transfer Processes
Physics
Hopf bifurcation
Fluid Dynamics (physics.flu-dyn)
Computational Mechanics
FOS: Physical sciences
Physics - Fluid Dynamics
Mechanics
Breakup
Bifurcation diagram
01 natural sciences
Instability
010305 fluids & plasmas
Physics::Fluid Dynamics
symbols.namesake
Hysteresis
Cascade
Modeling and Simulation
0103 physical sciences
symbols
010306 general physics
Focus (optics)
Linear stability
Subjects
Details
- ISSN :
- 2469990X
- Volume :
- 1
- Database :
- OpenAIRE
- Journal :
- Physical Review Fluids
- Accession number :
- edsair.doi.dedup.....a40eb524d2fbad2cd6af328eb5dbe686