Viscous thermocapillary convection at high Marangoni number

Stephen J. Cowleyt, Stephen H. Davis

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

A liquid, contained in a quarter plane, undergoes steady motion due to thermocapillary forcing on its upper boundary, a free surface separating the liquid from a passive gas. The rigid vertical sidewall has a strip whose temperature is elevated compared with the liquid at infinity. A boundary layer analysis is performed that is valid for large Marangoni numbers M and Prandtl numbers P. It is found that the Nusselt number N for the horizontal heat transport satisfies N ~ min (M2/7MP1/10). Generalizations are discussed.

Original languageEnglish (US)
Pages (from-to)175-188
Number of pages14
JournalJournal of fluid Mechanics
Volume135
DOIs
StatePublished - Oct 1983

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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