Non-isothermal spreading of liquid drops on horizontal plates

Peter Ehrhard*, Stephen H. Davis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

230 Scopus citations

Abstract

A viscous-liquid drop spreads on a smooth horizontal surface, which is uniformly heated or cooled. Lubrication theory is used to study thin drops subject to capillary, thermocapillary and gravity forces, and a variety of contact-angle-versus-speed conditions. It is found for isothermal drops that gravity is very important at large times and determines the power law for unlimited spreading. Predictions compare well with the experimental data on isothermal spreading for both two-dimensional and axisymmetric configurations. It is found that heating (cooling) retards (augments) the spreading process by creating flows that counteract (reinforce) those associated with isothermal spreading. For zero advancing contact angle, heating will prevent the drop from spreading to infinity. Thus, the heat transfer serves as a sensitive control on the spreading.

Original languageEnglish (US)
Pages (from-to)365-388
Number of pages24
JournalJournal of fluid Mechanics
Volume229
DOIs
StatePublished - Aug 1991

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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