Transient volume of evaporating sessile droplets: 2/3, 1/1, or another power law?

Nguyen, Tuan A. H. and Nguyen, Anh V. (2014) Transient volume of evaporating sessile droplets: 2/3, 1/1, or another power law?. Langmuir, 30 22: 6544-6547. doi:10.1021/la4047287


Author Nguyen, Tuan A. H.
Nguyen, Anh V.
Title Transient volume of evaporating sessile droplets: 2/3, 1/1, or another power law?
Journal name Langmuir   Check publisher's open access policy
ISSN 0743-7463
1520-5827
Publication date 2014-06-10
Year available 2014
Sub-type Article (original research)
DOI 10.1021/la4047287
Open Access Status Not yet assessed
Volume 30
Issue 22
Start page 6544
End page 6547
Total pages 4
Place of publication Washington, DC, United States
Publisher American Chemical Society
Language eng
Subject 1603 Demography
3104 Condensed Matter Physics
3110 Surfaces and Interfaces
2500 Materials Science
1607 Social Work
Abstract The transient shape and volume of evaporating sessile droplets are critical to our understanding and prediction of deposits left over on the solid surface after droplet evaporation. The 2/3 power law of scaling, (V/V-o)(beta) = 1 t/t(f) with beta = 2/3, has been widely used. The 1/1 power law of scaling with beta = 1 was also obtained for vanishingly small contact angles. Here we show that beta significantly deviates from 2/3 and 1 when the droplet base is pinned: beta depends on both initial and transient contact angles. The 1/1 power law presents the upper limit of beta = 1, while beta = 2/3 is the lower limit if contact angles are smaller than 148 degrees. Unexpectedly, beta can be smaller than 2/3 if contact angles are larger than 148 degrees. We also present a semianalytical approximation for beta as a function of the initial contact angle.
Formatted abstract
The transient shape and volume of evaporating sessile droplets are critical to our understanding and prediction of deposits left over on the solid surface after droplet evaporation. The 2/3 power law of scaling, (V/Vo)β = 1 - t/tf with β = 2/3, has been widely used. The 1/1 power law of scaling with β = 1 was also obtained for vanishingly small contact angles. Here we show that β significantly deviates from 2/3 and 1 when the droplet base is pinned: β depends on both initial and transient contact angles. The 1/1 power law presents the upper limit of β = 1, while β = 2/3 is the lower limit if contact angles are smaller than 148°. Unexpectedly, β can be smaller than 2/3 if contact angles are larger than 148°. We also present a semianalytical approximation for β as a function of the initial contact angle.
Keyword Chemistry, Multidisciplinary
Chemistry, Physical
Materials Science, Multidisciplinary
Chemistry
Materials Science
CHEMISTRY, MULTIDISCIPLINARY
CHEMISTRY, PHYSICAL
MATERIALS SCIENCE, MULTIDISCIPLINARY
Q-Index Code C1
Q-Index Status Confirmed Code
Grant ID LP0989217
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: Centre for Mined Land Rehabilitation Publications
School of Chemical Engineering Publications
Official 2015 Collection
 
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