Spreading and evaporation of liquid drops on solids

Stephen H Davis*, Daniel M. Anderson

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

We consider a volatile liquid droplet on a uniformly heated horizontal surface. We use lubrication theory to describe the effects of capillarity, thermocapillarity, vapor recoil, viscous spreading, contact-angle hysteresis, and mass loss on the behavior of the droplet. A new tri-junction condition, which takes into account the effect of mass loss, is derived and used. We derive an evolution equation for steady and unsteady drop profiles and solve for small and large capillary number. In the steady evaporation case, the steady contact angle is larger than the advancing contact angle. In the unsteady case, effects which tend to decrease (increase) the contact angle promote (delay) evaporation. In the large capillary number limit, we use matched asymptotics to describe the droplet profile; away from the contact line the shape is determined by initial conditions and bulk mass loss, while near the contact line surface curvature and slip are important.

Original languageEnglish (US)
Title of host publicationSurface - Tension - Driven Flows
EditorsDennis A. Siginer, William E. VanArsdale, Cengiz M. Altan, Andreas N. Alexandrou
PublisherPubl by ASME
Pages1-7
Number of pages7
ISBN (Print)0791810240
StatePublished - Dec 1 1993
EventProceedings of the 1993 ASME Winter Annual Meeting - New Orleans, LA, USA
Duration: Nov 28 1993Dec 3 1993

Publication series

NameAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume170
ISSN (Print)0160-8835

Other

OtherProceedings of the 1993 ASME Winter Annual Meeting
CityNew Orleans, LA, USA
Period11/28/9312/3/93

ASJC Scopus subject areas

  • Mechanical Engineering

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