Steady thermocapillary flows of thin liquid layers. I. Theory

M. J. Tan*, S. G. Bankoff, Stephen H Davis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

81 Scopus citations


A thin liquid layer rests on a horizontal plane that is subject to a two-dimensional spatially periodic temperature distribution. Thermocapillary forces on the free surface result in a dimpling interface and a steady viscous flow. Long-wave theory is used to study this system and to determine whether or not there is film dryout locally, and how such dimpling and/or dryout is affected by London-van der Waals forces, surface tension, and hydrostatic effects.

Original languageEnglish (US)
Pages (from-to)313-321
Number of pages9
JournalPhysics of Fluids A
Issue number3
StatePublished - Jan 1 1990

ASJC Scopus subject areas

  • Engineering(all)


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