Plethora of transitions during breakup of liquid filaments

Castrejón-Pita, José Rafael; Castrejón-Pita, Alfonso Arturo; Thete, Sumeet Suresh; Sambath, Krishnaraj; Hutchings, Ian M.; Hinch, John; Lister, John R.; Basaran, Osman A.

doi:10.1073/pnas.1418541112

Plethora of transitions during breakup of liquid filaments

Journal Article · Mon Mar 30 00:00:00 EDT 2015 · Proceedings of the National Academy of Sciences of the United States of America

DOI:https://doi.org/10.1073/pnas.1418541112· OSTI ID:1235161

Castrejón-Pita, José Rafael ^[1]; Castrejón-Pita, Alfonso Arturo ^[2]; Thete, Sumeet Suresh ^[3]; Sambath, Krishnaraj ^[3]; Hutchings, Ian M. ^[1]; Hinch, John ^[4]; Lister, John R. ^[4]; Basaran, Osman A. ^[3]

Department of Engineering, University of Cambridge, Cambridge CB3 0FS, United Kingdom,
Department of Engineering Science, University of Oxford, Oxford OX1 3PJ, United Kingdom,
School of Chemical Engineering, Purdue University, West Lafayette, IN 47907-1283, and
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, United Kingdom

Significance

Fluid flows, governed by nonlinear equations, permit formation of singularities. Often, singularities are artifacts of neglecting physical effects. However, free-surface flows exhibit observable singularities including filament pinch-off. As filaments thin, slightly (highly) viscous filaments are expected from theory to transition from an inertial (viscous) regime where viscosity (density) is negligible to an inertial–viscous regime where viscous and inertial effects are important. Previous works show this transition either does not occur or occurs for filament radii well below theoretical predictions. We demonstrate that thinning filaments unexpectedly pass through a number of intermediate transient regimes, thereby delaying onset of the final regime. The findings raise the question if similar dynamical transitions arise in problems that are not necessarily hydrodynamic in nature.

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Research Organization:: Purdue Univ., West Lafayette, IN (United States); Univ. of Cambridge (United Kingdom)

Sponsoring Organization:: Chevron Corporation (United States); Engineering and Physical Sciences Research Council (EPSRC) (United Kingdom); John Fell Oxford Univ. Press Research Fund (United Kingdom); Procter & Gamble (United States); Royal Society (United Kingdom); USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Contributing Organization:: Univ. of Oxford (United Kingdom)

Grant/Contract Number:: FG02-96ER14641

OSTI ID:: 1235161

Alternate ID(s):: OSTI ID: 1349047

Journal Information:: Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Issue: 15 Vol. 112; ISSN 0027-8424

Publisher:: Proceedings of the National Academy of SciencesCopyright Statement

Country of Publication:: United States

Language:: English

References (37)

Small-scale free surface flows with breakup: Drop formation and emerging applications Basaran, Osman A. AIChE Journal, Vol. 48, Issue 9 https://doi.org/10.1002/aic.690480902	journal	September 2002
Drop formation - an overview Eggers, J. ZAMM, Vol. 85, Issue 6 https://doi.org/10.1002/zamm.200410193	journal	June 2005
Measurement of Dynamic Surface Tension by a Growing Drop Technique Zhang, Xiaoguang; Harris, Michael T.; Basaran, Osman A. Journal of Colloid and Interface Science, Vol. 168, Issue 1 https://doi.org/10.1006/jcis.1994.1392	journal	November 1994
Discretization of free surface flows and other moving boundary problems Christodoulou, K. N.; Scriven, L. E. Journal of Computational Physics, Vol. 99, Issue 1 https://doi.org/10.1016/0021-9991(92)90273-2	journal	March 1992
Fabrication of PLG microspheres with precisely controlled and monodisperse size distributions Berkland, Cory; Kim, Kyekyoon (Kevin); Pack, Daniel W. Journal of Controlled Release, Vol. 73, Issue 1 https://doi.org/10.1016/S0168-3659(01)00289-9	journal	May 2001
Local dynamics during pinch-off of liquid threads of power law fluids: Scaling analysis and self-similarity Suryo, Ronald; Basaran, Osman A. Journal of Non-Newtonian Fluid Mechanics, Vol. 138, Issue 2-3 https://doi.org/10.1016/j.jnnfm.2006.04.008	journal	October 2006
Breakup of electrified jets Collins, Robert T.; Harris, Michael T.; Basaran, Osman A. Journal of Fluid Mechanics, Vol. 588 https://doi.org/10.1017/S0022112007007409	journal	September 2007
Dynamics of inviscid capillary breakup: collapse and pinchoff of a film bridge Chen, Y. -J.; Steen, P. H. Journal of Fluid Mechanics, Vol. 341 https://doi.org/10.1017/S002211209700548X	journal	June 1997
Coalescence of liquid drops Eggers, Jens; Lister, John R.; Stone, Howard A. Journal of Fluid Mechanics, Vol. 401 https://doi.org/10.1017/S002211209900662X	journal	December 1999
High Yield, Single Droplet Electrode Arrays for Nanoscale Printed Electronics Caironi, Mario; Gili, Enrico; Sakanoue, Tomo ACS Nano, Vol. 4, Issue 3 https://doi.org/10.1021/nn9014664	journal	February 2010
Solvent Exchange Method: A Novel Microencapsulation Technique Using Dual Microdispensers Yeo, Yoon; Chen, Alvin U.; Basaran, Osman A. Pharmaceutical Research, Vol. 21, Issue 8 https://doi.org/10.1023/B:PHAM.0000036916.96307.d8	journal	August 2004
Single-drop fragmentation determines size distribution of raindrops Villermaux, Emmanuel; Bossa, Benjamin Nature Physics, Vol. 5, Issue 9 https://doi.org/10.1038/nphys1340	journal	July 2009
Formation of beads-on-a-string structures during break-up of viscoelastic filaments Bhat, Pradeep P.; Appathurai, Santosh; Harris, Michael T. Nature Physics, Vol. 6, Issue 8 https://doi.org/10.1038/nphys1682	journal	June 2010
Analysis of the drop weight method Yildirim, Ozgur E.; Xu, Qi; Basaran, Osman A. Physics of Fluids, Vol. 17, Issue 6 https://doi.org/10.1063/1.1938227	journal	June 2005
Deformation and breakup of a stretching liquid bridge covered with an insoluble surfactant monolayer Liao, Ying-Chih; Franses, Elias I.; Basaran, Osman A. Physics of Fluids, Vol. 18, Issue 2 https://doi.org/10.1063/1.2166657	journal	February 2006
On the breakup of viscous liquid threads Papageorgiou, Demetrios T. Physics of Fluids, Vol. 7, Issue 7 https://doi.org/10.1063/1.868540	journal	July 1995
Capillary breakup of a viscous thread surrounded by another viscous fluid Lister, John R.; Stone, Howard A. Physics of Fluids, Vol. 10, Issue 11 https://doi.org/10.1063/1.869799	journal	November 1998
Computational and experimental analysis of dynamics of drop formation Wilkes, Edward D.; Phillips, Scott D.; Basaran, Osman A. Physics of Fluids, Vol. 11, Issue 12 https://doi.org/10.1063/1.870224	journal	December 1999
The inexorable resistance of inertia determines the initial regime of drop coalescence Paulsen, J. D.; Burton, J. C.; Nagel, S. R. Proceedings of the National Academy of Sciences, Vol. 109, Issue 18 https://doi.org/10.1073/pnas.1120775109	journal	April 2012
Electric Field Driven Separations: Phenomena and Applications Ptasinski, K. J.; Kerkhof, P. J. A. M. Separation Science and Technology, Vol. 27, Issue 8-9 https://doi.org/10.1080/01496399208019021	journal	July 1992
Physics of liquid jets Eggers, Jens; Villermaux, Emmanuel Reports on Progress in Physics, Vol. 71, Issue 3 https://doi.org/10.1088/0034-4885/71/3/036601	journal	February 2008
On the capillary phenomena of jets Strutt, John William Proceedings of the Royal Society of London, Vol. 29, Issue 196-199, p. 71-97 https://doi.org/10.1098/rspl.1879.0015	journal	January 1879
Universal pinching of 3D axisymmetric free-surface flow Eggers, Jens Physical Review Letters, Vol. 71, Issue 21 https://doi.org/10.1103/PhysRevLett.71.3458	journal	November 1993
Self-Similar Capillary Pinchoff of an Inviscid Fluid Day, Richard F.; Hinch, E. John; Lister, John R. Physical Review Letters, Vol. 80, Issue 4 https://doi.org/10.1103/PhysRevLett.80.704	journal	January 1998
Theoretical Analysis of a Dripping Faucet Ambravaneswaran, Bala; Phillips, Scott D.; Basaran, Osman A. Physical Review Letters, Vol. 85, Issue 25 https://doi.org/10.1103/PhysRevLett.85.5332	journal	December 2000
Transition from Symmetric to Asymmetric Scaling Function before Drop Pinch-Off Rothert, Alexander; Richter, Reinhard; Rehberg, Ingo Physical Review Letters, Vol. 87, Issue 8 https://doi.org/10.1103/PhysRevLett.87.084501	journal	August 2001
Computational and Experimental Analysis of Pinch-Off and Scaling Chen, Alvin U.; Notz, Patrick K.; Basaran, Osman A. Physical Review Letters, Vol. 88, Issue 17 https://doi.org/10.1103/PhysRevLett.88.174501	journal	April 2002
Dripping-Jetting Transitions in a Dripping Faucet Ambravaneswaran, Bala; Subramani, Hariprasad J.; Phillips, Scott D. Physical Review Letters, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevLett.93.034501	journal	July 2004
Nonlinear dynamics and breakup of free-surface flows Eggers, Jens Reviews of Modern Physics, Vol. 69, Issue 3 https://doi.org/10.1103/RevModPhys.69.865	journal	July 1997
On The Instability Of Jets Rayleigh, Lord Proceedings of the London Mathematical Society, Vol. s1-10, Issue 1 https://doi.org/10.1112/plms/s1-10.1.4	journal	November 1878
MATERIALS SCIENCE: Printing Cells Calvert, P. Science, Vol. 318, Issue 5848 https://doi.org/10.1126/science.1144212	journal	October 2007
High-Resolution Inkjet Printing of All-Polymer Transistor Circuits Sirringhaus, H.; Kawase, T.; Friend, R. H. Science, Vol. 290, Issue 5499, p. 2123-2126 https://doi.org/10.1126/science.290.5499.2123	journal	December 2000
Surface Tension Driven Flows Keller, Joseph B.; Miksis, Michael J. SIAM Journal on Applied Mathematics, Vol. 43, Issue 2 https://doi.org/10.1137/0143018	journal	April 1983
Nonstandard Inkjets Basaran, Osman A.; Gao, Haijing; Bhat, Pradeep P. Annual Review of Fluid Mechanics, Vol. 45, Issue 1 https://doi.org/10.1146/annurev-fluid-120710-101148	journal	January 2013
DNA Microarray Technology Devices, Systems, and Applications Heller, Michael J. Annual Review of Biomedical Engineering, Vol. 4, Issue 1, p. 129-153 https://doi.org/10.1146/annurev.bioeng.4.020702.153438	journal	August 2002
Single-molecule analysis of ultradilute solutions with guided streams of 1-µm water droplets Kung, Chung-yi; Barnes, Michael D.; Lermer, Noah Applied Optics, Vol. 38, Issue 9 https://doi.org/10.1364/AO.38.001481	journal	January 1999
Future, Opportunities and Challenges of Inkjet Technologies Castrejon-Pita, J. Rafael; Baxter, W. R. S.; Morgan, J. Atomization and Sprays, Vol. 23, Issue 6 https://doi.org/10.1615/AtomizSpr.2013007653	journal	January 2013

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