10 Citations (SciVal)


The surface of a sheet of liquid which contracts due to surface tension, breaks, and then pulls apart into two pieces, is calculated. Before breaking, the flow is the self-similar one found by Keller, Milewski and Vanden-Broeck. After breaking, it is the self-similar flow found by Keller and Miksis. A general numerical scheme, which includes the previous ones, is presented and new numerical results are discussed. There is an analogous flow of an axially symmetric liquid filament, but it is not calculated.

Original languageEnglish
Pages (from-to)283-290
Number of pages8
JournalJournal of Engineering Mathematics
Issue number3-4
Publication statusPublished - 1 Apr 2002


  • Boundary-integral equations
  • Free-surface flows
  • Self-similar solutions
  • Surface tension

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Applied Mathematics


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