On the approach to the critical solution in leading order thin-film coating and rimming flow

C.H. Tougher, S.K. Wilson, B.R. Duffy

Research output: Contribution to journalArticle

7 Citations (Scopus)
91 Downloads (Pure)

Abstract

The approach to the critical solution in leading order coating and rimming flow of a thin fluid film on a uniformly rotating horizontal cylinder is investigated. In particular, it is shown that the weight of the leading order 'full film' solution approaches its critical maximum value with logarithmically infinite slope as the volume flux approaches its critical value.
Original languageEnglish
Pages (from-to)882-886
Number of pages4
JournalApplied Mathematics Letters
Volume22
Issue number6
DOIs
Publication statusPublished - Jun 2009

Keywords

  • thin-film flow
  • coating and rimming flow
  • critical solution

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