Self-similarity in the breakup of very dilute viscoelastic solutions

A Deblais*, Miguel A Herrada, J Eggers, D Bonn

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

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When pushed out of a syringe, polymer solutions form droplets attached by long and slender cylindrical filaments whose diameter decreases exponentially with time before eventually breaking. In the last stages of this process, a striking feature is the self- similarity of the solution shape near the end of the filament. This means that shapes at different times, if properly rescaled, collapse onto one universal shape. A theoretical description inspired by this similarity observation and based on the Oldroyd-B model was recently shown to disagree with existing experimental results. By revisiting these measurements and analysing the interface profiles of very diluted polyethylene oxide solutions at high temporal and spatial resolution, we show that they are very well described by the model.
Original languageEnglish
Article numberR2
JournalJournal of Fluid Mechanics
Early online date6 Oct 2020
Publication statusE-pub ahead of print - 6 Oct 2020


  • polymer solutions
  • self-similarity
  • universality
  • breakup
  • drop

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