The strong influence of substrate conductivity on droplet evaporation

Gavin Dunn, S.K. Wilson, B.R. Duffy, S. David, K. Sefiane

Research output: Contribution to journalArticle

185 Citations (Scopus)

Abstract

We report the results of physical experiments that demonstrate the strong influence of the thermal conductivity of the substrate on the evaporation of a pinned droplet. We show that this behaviour can be captured by a mathematical model including the variation of the saturation concentration with temperature, and hence coupling the problems for the vapour concentration in the atmosphere and the temperature in the liquid and the substrate. Furthermore, we show that including two ad hoc improvements to the model, namely a Newton's law of cooling on the unwetted surface of the substrate and the buoyancy of water vapour in the atmosphere, give excellent quantitative agreement for all of the combinations of liquid and substrate considered.
LanguageEnglish
Pages329-351
Number of pages23
JournalJournal of Fluid Mechanics
Volume623
DOIs
Publication statusPublished - Mar 2009

Fingerprint

Evaporation
evaporation
conductivity
Substrates
atmospheres
Liquids
liquids
Buoyancy
buoyancy
Water vapor
newton
water vapor
Thermal conductivity
mathematical models
thermal conductivity
Vapors
vapors
Mathematical models
Cooling
saturation

Keywords

  • substrate conductivity
  • droplet evaporation

Cite this

@article{e34035f1001b48339a1251820fdf420c,
title = "The strong influence of substrate conductivity on droplet evaporation",
abstract = "We report the results of physical experiments that demonstrate the strong influence of the thermal conductivity of the substrate on the evaporation of a pinned droplet. We show that this behaviour can be captured by a mathematical model including the variation of the saturation concentration with temperature, and hence coupling the problems for the vapour concentration in the atmosphere and the temperature in the liquid and the substrate. Furthermore, we show that including two ad hoc improvements to the model, namely a Newton's law of cooling on the unwetted surface of the substrate and the buoyancy of water vapour in the atmosphere, give excellent quantitative agreement for all of the combinations of liquid and substrate considered.",
keywords = "substrate conductivity, droplet evaporation",
author = "Gavin Dunn and S.K. Wilson and B.R. Duffy and S. David and K. Sefiane",
year = "2009",
month = "3",
doi = "10.1017/S0022112008005004",
language = "English",
volume = "623",
pages = "329--351",
journal = "Journal of Fluid Mechanics",
issn = "0022-1120",
publisher = "Cambridge University Press",

}

The strong influence of substrate conductivity on droplet evaporation. / Dunn, Gavin; Wilson, S.K.; Duffy, B.R.; David, S.; Sefiane, K.

In: Journal of Fluid Mechanics, Vol. 623, 03.2009, p. 329-351.

Research output: Contribution to journalArticle

TY - JOUR

T1 - The strong influence of substrate conductivity on droplet evaporation

AU - Dunn, Gavin

AU - Wilson, S.K.

AU - Duffy, B.R.

AU - David, S.

AU - Sefiane, K.

PY - 2009/3

Y1 - 2009/3

N2 - We report the results of physical experiments that demonstrate the strong influence of the thermal conductivity of the substrate on the evaporation of a pinned droplet. We show that this behaviour can be captured by a mathematical model including the variation of the saturation concentration with temperature, and hence coupling the problems for the vapour concentration in the atmosphere and the temperature in the liquid and the substrate. Furthermore, we show that including two ad hoc improvements to the model, namely a Newton's law of cooling on the unwetted surface of the substrate and the buoyancy of water vapour in the atmosphere, give excellent quantitative agreement for all of the combinations of liquid and substrate considered.

AB - We report the results of physical experiments that demonstrate the strong influence of the thermal conductivity of the substrate on the evaporation of a pinned droplet. We show that this behaviour can be captured by a mathematical model including the variation of the saturation concentration with temperature, and hence coupling the problems for the vapour concentration in the atmosphere and the temperature in the liquid and the substrate. Furthermore, we show that including two ad hoc improvements to the model, namely a Newton's law of cooling on the unwetted surface of the substrate and the buoyancy of water vapour in the atmosphere, give excellent quantitative agreement for all of the combinations of liquid and substrate considered.

KW - substrate conductivity

KW - droplet evaporation

UR - http://www.cambridge.org/uk/

UR - http://www.jfm.damtp.cam.ac.uk/

U2 - 10.1017/S0022112008005004

DO - 10.1017/S0022112008005004

M3 - Article

VL - 623

SP - 329

EP - 351

JO - Journal of Fluid Mechanics

T2 - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

ER -