Plethora of transitions during breakup of liquid filaments [electronic resource].
- Washington, D.C. : United States. Dept. of Energy. Office of Basic Energy Sciences, 2015.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy
- Physical Description:
- pages 4,582-4,587 : digital, PDF file
- Additional Creators:
- United States. Department of Energy. Office of Basic Energy Sciences
Engineering and Physical Sciences Research Council
United States. Department of Energy. Office of Scientific and Technical Information
- Thinning and breakup of liquid filaments are central to dripping of leaky faucets, inkjet drop formation, and raindrop fragmentation. As the filament radius decreases, curvature and capillary pressure, both inversely proportional to radius, increase and fluid is expelled with increasing velocity from the neck. As the neck radius vanishes, the governing equations become singular and the filament breaks. In slightly viscous liquids, thinning initially occurs in an inertial regime where inertial and capillary forces balance. By contrast, in highly viscous liquids, initial thinning occurs in a viscous regime where viscous and capillary forces balance. As the filament thins, viscous forces in the former case and inertial forces in the latter become important, and theory shows that the filament approaches breakup in the final inertial–viscous regime where all three forces balance. However, previous simulations and experiments reveal that transition from an initial to the final regime either occurs at a value of filament radius well below that predicted by theory or is not observed. In this paper, we perform new simulations and experiments, and show that a thinning filament unexpectedly passes through a number of intermediate transient regimes, thereby delaying onset of the inertial–viscous regime. Finally, the new findings have practical implications regarding formation of undesirable satellite droplets and also raise the question as to whether similar dynamical transitions arise in other free-surface flows such as coalescence that also exhibit singularities.
- Published through SciTech Connect.
Proceedings of the National Academy of Sciences of the United States of America 112 15 ISSN 0027-8424 AM
José Rafael Castrejón-Pita; Alfonso Arturo Castrejón-Pita; Sumeet Suresh Thete; Krishnaraj Sambath; Ian M. Hutchings; John Hinch; John R. Lister; Osman A. Basaran.
Purdue Univ., West Lafayette, IN (United States)
Univ. of Cambridge (United Kingdom)
Procter & Gamble (United States)
Chevron Corporation (United States)
John Fell Oxford Univ. Press Research Fund (United Kingdom)
Royal Society (United Kingdom)
- Funding Information:
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