Thermal rupture of a free liquid sheet

Georgy Kitavtsev, Marco Fontelos, Jens Eggers

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

5 Citations (Scopus)
228 Downloads (Pure)


We consider a free liquid sheet, taking into account the dependence of surface tension on temperature, or concentration of some pollutant. The sheet dynamics are described within a long-wavelength description. In the presence of viscosity, local thinning of the sheet is driven by a strong temperature gradient across the pinch region, resembling a shock. As a result, for long times the sheet thins exponentially, leading to breakup. We describe the quasi one-dimensional thickness, velocity, and temperature profiles in the pinch region in terms of similarity solutions, which possess a universal structure. Our analytical description agrees quantitatively with numerical simulations.
Original languageEnglish
Pages (from-to)555-578
Number of pages24
JournalJournal of Fluid Mechanics
Early online date18 Feb 2018
Publication statusPublished - 10 Apr 2018


  • interfacial flows (free surface)
  • microfluidics
  • slender-body theory


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