Asymptotics of a sequence of pendant drops

Research output: Contribution to journalArticlepeer-review

Abstract

The asymptotics of a sequence of pendant drops was discussed. For each successive drop, the general expressions for the maximum half-width of the main drop were deduced along with the minimum half-width of each neck and the location of the points of inflection in each of the inner layers. Each successive drop had a complicated asymptotic structure which was resolved using the method of matched asymptotic expansions. Multiple scales approach was briefly sketched and results were verified.

Original languageEnglish
Pages (from-to)1569-1580
Number of pages12
JournalSIAM Journal on Applied Mathematics
Volume62
Issue number5
DOIs
Publication statusPublished - May 2002

Keywords

  • Asymptotics
  • Curvature
  • Matched asymptotic expansions
  • Pendant drops
  • Surface tension

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