%0 Journal Article %1 citeulike:7208268 %A Xu, Qi %A Liao, Ying C. %A Basaran, Osman A. %D 2007 %I American Physical Society %J Physical Review Letters %K surfactant-transport 76d45-capillarity-in-viscous-fluids 76t10-liquid-gas-two-phase-flows-bubbly-flows 82c24-time-dependent-statistical-mechanics-of-interface-problems %N 5 %P 054503+ %R 10.1103/physrevlett.98.054503 %T Can Surfactant Be Present at Pinch-Off of a Liquid Filament? %U http://dx.doi.org/10.1103/physrevlett.98.054503 %V 98 %X Surfactants lower surface tension and are used to facilitate breakup and spreading. How much surfactant remains where a filament of initial radius R breaks is set by the ratio of convection, which sweeps surfactant away, to diffusion, which replenishes it, or Peclet number Pe ∝ R . Thus, as is well known, surfactant concentration Γ →0 when a macroscale filament breaks. Here theory and simulation are used to investigate pinch-off of microscopic filaments. At breakup, Γ is shown to be nonzero but uniform on a filament of negligible Pe. Since R must be finite, the zero-Pe limit is transitory and yields to a final regime. Two such regimes with distinct dynamics characterized by different scaling exponents are reported.

@article{citeulike:7208268, abstract = {{Surfactants lower surface tension and are used to facilitate breakup and spreading. How much surfactant remains where a filament of initial radius R breaks is set by the ratio of convection, which sweeps surfactant away, to diffusion, which replenishes it, or Peclet number Pe ∝ R . Thus, as is well known, surfactant concentration Γ →0 when a macroscale filament breaks. Here theory and simulation are used to investigate pinch-off of microscopic filaments. At breakup, Γ is shown to be nonzero but uniform on a filament of negligible Pe. Since R must be finite, the zero-Pe limit is transitory and yields to a final regime. Two such regimes with distinct dynamics characterized by different scaling exponents are reported.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Xu, Qi and Liao, Ying C. and Basaran, Osman A.}, biburl = {https://www.bibsonomy.org/bibtex/2307bf97cd8a5b4889cb10b6239ce8609/gdmcbain}, citeulike-article-id = {7208268}, citeulike-attachment-1 = {xu_07_can_495296.pdf; /pdf/user/gdmcbain/article/7208268/495296/xu_07_can_495296.pdf; f068b4611620adb8a770d4719173479b51f4397e}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.98.054503}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v98/i5/e054503}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v98/i5/e054503}, comment = {(private-note)Circulated by SGM 2010-05-24}, doi = {10.1103/physrevlett.98.054503}, file = {xu_07_can_495296.pdf}, interhash = {ca707529cfa84d148bb2f30ee5007760}, intrahash = {307bf97cd8a5b4889cb10b6239ce8609}, journal = {Physical Review Letters}, keywords = {surfactant-transport 76d45-capillarity-in-viscous-fluids 76t10-liquid-gas-two-phase-flows-bubbly-flows 82c24-time-dependent-statistical-mechanics-of-interface-problems}, month = jan, number = 5, pages = {054503+}, posted-at = {2010-05-24 02:58:41}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-03-13T03:02:30.000+0100}, title = {{Can Surfactant Be Present at Pinch-Off of a Liquid Filament?}}, url = {http://dx.doi.org/10.1103/physrevlett.98.054503}, volume = 98, year = 2007 }