Evaporation of droplets on strongly hydrophobic substrates

Jutta M. Stauber; Stephen K. Wilson; Brian R. Duffy; Khellil Sefiane

doi:10.1021/acs.langmuir.5b00286

Evaporation of droplets on strongly hydrophobic substrates

Jutta M. Stauber, Stephen K. Wilson, Brian R. Duffy, Khellil Sefiane

Mathematics And Statistics

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Abstract

The manner in which the extreme modes of droplet evaporation (namely the constant contact radius and the constant contact angle modes) become indistinguishable on sufficiently hydrophobic substrates is described. Simple asymptotic expressions are obtained which provide good approximations to the evolutions of the contact radius, the contact angle, and the volume of droplets evaporating in the extreme modes for a wide range of hydrophobic substrates. As a consequence, on sufficiently hydrophobic substrates it is appropriate to use the so-called "2/3 power law" to extrapolate the lifetimes of droplets evaporating in the constant contact radius mode as well as in the constant contact angle mode.

Original language	English
Pages (from-to)	2353-2360
Number of pages	8
Journal	Langmuir
Volume	31
Issue number	12
Early online date	9 Mar 2015
DOIs	https://doi.org/10.1021/acs.langmuir.5b00286
Publication status	Published - 31 Mar 2015

Keywords

droplet evaporation
hydrophobic substrates
constant contact radius
constant contact angle

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10.1021/acs.langmuir.5b00286

Stauber-etal-Langmuir-2015-On-the-evaporation-of-droplets-on-strongly-hydrophobicFinal published version, 964 KBLicence: CC BY 4.0

http://pubs.acs.org/loi/langd5

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Small particles, big questions: understanding the complex behaviour of nanofluids
Wilson, S.
Leverhulme Trust
1/10/13 → 31/03/16
Project: Research Fellowship

Cite this

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title = "Evaporation of droplets on strongly hydrophobic substrates",

abstract = "The manner in which the extreme modes of droplet evaporation (namely the constant contact radius and the constant contact angle modes) become indistinguishable on sufficiently hydrophobic substrates is described. Simple asymptotic expressions are obtained which provide good approximations to the evolutions of the contact radius, the contact angle, and the volume of droplets evaporating in the extreme modes for a wide range of hydrophobic substrates. As a consequence, on sufficiently hydrophobic substrates it is appropriate to use the so-called {"}2/3 power law{"} to extrapolate the lifetimes of droplets evaporating in the constant contact radius mode as well as in the constant contact angle mode.",

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AU - Stauber, Jutta M.

AU - Wilson, Stephen K.

AU - Duffy, Brian R.

AU - Sefiane, Khellil

PY - 2015/3/31

Y1 - 2015/3/31

N2 - The manner in which the extreme modes of droplet evaporation (namely the constant contact radius and the constant contact angle modes) become indistinguishable on sufficiently hydrophobic substrates is described. Simple asymptotic expressions are obtained which provide good approximations to the evolutions of the contact radius, the contact angle, and the volume of droplets evaporating in the extreme modes for a wide range of hydrophobic substrates. As a consequence, on sufficiently hydrophobic substrates it is appropriate to use the so-called "2/3 power law" to extrapolate the lifetimes of droplets evaporating in the constant contact radius mode as well as in the constant contact angle mode.

AB - The manner in which the extreme modes of droplet evaporation (namely the constant contact radius and the constant contact angle modes) become indistinguishable on sufficiently hydrophobic substrates is described. Simple asymptotic expressions are obtained which provide good approximations to the evolutions of the contact radius, the contact angle, and the volume of droplets evaporating in the extreme modes for a wide range of hydrophobic substrates. As a consequence, on sufficiently hydrophobic substrates it is appropriate to use the so-called "2/3 power law" to extrapolate the lifetimes of droplets evaporating in the constant contact radius mode as well as in the constant contact angle mode.

KW - droplet evaporation

KW - hydrophobic substrates

KW - constant contact radius

KW - constant contact angle

UR - http://pubs.acs.org/loi/langd5

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DO - 10.1021/acs.langmuir.5b00286

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EP - 2360

JO - Langmuir

JF - Langmuir

SN - 0743-7463

IS - 12

ER -

Evaporation of droplets on strongly hydrophobic substrates

Abstract

Keywords

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Small particles, big questions: understanding the complex behaviour of nanofluids

Cite this