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Title: Singularities and Topological Phase Transitions in Fluids: Breaking Away, Selective Withdrawal, and Islets in the Stream

The exhilarating spray from waves crashing into the shore, the distressing sound of a faucet leaking in the night, and the indispensable role of bubbles dissolving gas into the oceans are but a few exmore »amples of the ubiquitous presence and profound importance of drop formation and splashing in our lives. During fission, a fluid forms a neck that becomes vanishingly thin at the point of breakup. This topological transition is accompanied by a dynamic singularity in which physical properties such as pressure diverge. Singularities of this sort often organize the overall dynamical evolution of nonlinear systems. I will first discuss the role of singularities in the breakup of droplets. I will then present a second experiment, selective withdrawal, in which we study the steady-state shape of a liquid as it is withdrawn by a nozzle through a surrounding fluid. Here, a change in topology may again be accompanied by a singularity. Applications of this geometry that rely on singular dynamical behavior are relevant for the coating of biological particles that may be of particular use in medical transplantation technologies.« less
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Title: Singularities and Topological Phase Transitions in Fluids: Breaking Away, Selective Withdrawal, and Islets in the Stream
Authors:
Publication Date: 2007-01-17
OSTI Identifier: 1016697
DOE Contract Number: AC02-07CH11359
Other Number(s): TRN: US201204%%454
Resource Type: Multimedia
Resource Relation: Conference: Fermilab Colloquia, Fermi National Accelerator Laboratory (FNAL), Batvia, Illinois (United States), presented on January 17, 2007
Research Org: FNAL (Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States))
Sponsoring Org: USDOE Office of Science (SC)
Subject: 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE ; BUBBLES ; COATINGS ; FISSION ; GEOMETRY ; NONLINEAR PROBLEMS ; NOZZLES ; PHYSICAL PROPERTIES ; SHAPE ; SINGULARITY ; TOPOLOGY
Country of Publication: United States
Language: English
Run Time: 1:13:40
System Entry Date: 2016-01-27