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 proportional to R. Thus, as is well known, surfactant concentration Gamma -> 0 when a macroscale filament breaks. Here theory and simulation are used to investigate pinch-off of microscopic filaments. At breakup, F 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.
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Purdue Univ, Davidson Sch Chem Engn, W Lafayette, IN 47907 USAPurdue Univ, Davidson Sch Chem Engn, W Lafayette, IN 47907 USA
Wee, Hansol
Wagoner, Brayden W.
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Purdue Univ, Davidson Sch Chem Engn, W Lafayette, IN 47907 USAPurdue Univ, Davidson Sch Chem Engn, W Lafayette, IN 47907 USA
Wagoner, Brayden W.
Garg, Vishrut
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Purdue Univ, Davidson Sch Chem Engn, W Lafayette, IN 47907 USA
Air Prod, Allentown, PA 18195 USAPurdue Univ, Davidson Sch Chem Engn, W Lafayette, IN 47907 USA
Garg, Vishrut
Kamat, Pritish M.
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Purdue Univ, Davidson Sch Chem Engn, W Lafayette, IN 47907 USA
Dow Inc, Lake Jackson, TX 77566 USAPurdue Univ, Davidson Sch Chem Engn, W Lafayette, IN 47907 USA
Kamat, Pritish M.
Basaran, Osman A.
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Purdue Univ, Davidson Sch Chem Engn, W Lafayette, IN 47907 USAPurdue Univ, Davidson Sch Chem Engn, W Lafayette, IN 47907 USA
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Penn State Univ, Dept Math, WG Pritchard Labs, University Pk, PA 16802 USAPenn State Univ, Dept Math, WG Pritchard Labs, University Pk, PA 16802 USA
Smolka, LB
Belmonte, A
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Penn State Univ, Dept Math, WG Pritchard Labs, University Pk, PA 16802 USAPenn State Univ, Dept Math, WG Pritchard Labs, University Pk, PA 16802 USA