Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film

Research output: Contribution to journalArticle

7 Citations (Scopus)
52 Downloads (Pure)

Abstract

A novel family of three-dimensional travelling-wave similarity solutions describing a steadily translating slender dry patch in an infinitely wide thin fluid film on an inclined planar substrate when surface-tension effects are negligible is obtained, the flow being driven by gravity and/or a prescribed constant shear stress on the free surface of the film. For both driving mechanisms, the dry patch has a parabolic shape (which may be concave up or concave down the substrate), and the film thickness increases monotonically away from the contact lines to its uniform far-field value. The two most practically important cases of purely gravity-driven flow and of purely surface-shear-stress-driven flow are analysed separately.
Original languageEnglish
Article number052103
Number of pages27
JournalPhysics of Fluids
Volume25
Issue number5
Early online date21 May 2013
DOIs
Publication statusPublished - May 2013

Fingerprint

fluid films
translating
traveling waves
Shear stress
Gravitation
shear stress
Fluids
Substrates
gravitation
Surface tension
Film thickness
far fields
interfacial tension
film thickness

Keywords

  • film flow
  • flow instability
  • liquid films
  • shear strength
  • substrates
  • thin films
  • waves

Cite this

@article{4f4f637986dc475095ea664dfb4e3021,
title = "Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film",
abstract = "A novel family of three-dimensional travelling-wave similarity solutions describing a steadily translating slender dry patch in an infinitely wide thin fluid film on an inclined planar substrate when surface-tension effects are negligible is obtained, the flow being driven by gravity and/or a prescribed constant shear stress on the free surface of the film. For both driving mechanisms, the dry patch has a parabolic shape (which may be concave up or concave down the substrate), and the film thickness increases monotonically away from the contact lines to its uniform far-field value. The two most practically important cases of purely gravity-driven flow and of purely surface-shear-stress-driven flow are analysed separately.",
keywords = "film flow, flow instability, liquid films, shear strength, substrates, thin films, waves",
author = "Y.M. Yatim and Brian Duffy and Stephen Wilson",
year = "2013",
month = "5",
doi = "10.1063/1.4803906",
language = "English",
volume = "25",
journal = "Physics of Fluids",
issn = "1070-6631",
number = "5",

}

Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film. / Yatim, Y.M.; Duffy, Brian; Wilson, Stephen.

In: Physics of Fluids, Vol. 25, No. 5, 052103, 05.2013.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film

AU - Yatim, Y.M.

AU - Duffy, Brian

AU - Wilson, Stephen

PY - 2013/5

Y1 - 2013/5

N2 - A novel family of three-dimensional travelling-wave similarity solutions describing a steadily translating slender dry patch in an infinitely wide thin fluid film on an inclined planar substrate when surface-tension effects are negligible is obtained, the flow being driven by gravity and/or a prescribed constant shear stress on the free surface of the film. For both driving mechanisms, the dry patch has a parabolic shape (which may be concave up or concave down the substrate), and the film thickness increases monotonically away from the contact lines to its uniform far-field value. The two most practically important cases of purely gravity-driven flow and of purely surface-shear-stress-driven flow are analysed separately.

AB - A novel family of three-dimensional travelling-wave similarity solutions describing a steadily translating slender dry patch in an infinitely wide thin fluid film on an inclined planar substrate when surface-tension effects are negligible is obtained, the flow being driven by gravity and/or a prescribed constant shear stress on the free surface of the film. For both driving mechanisms, the dry patch has a parabolic shape (which may be concave up or concave down the substrate), and the film thickness increases monotonically away from the contact lines to its uniform far-field value. The two most practically important cases of purely gravity-driven flow and of purely surface-shear-stress-driven flow are analysed separately.

KW - film flow

KW - flow instability

KW - liquid films

KW - shear strength

KW - substrates

KW - thin films

KW - waves

UR - http://link.aip.org/link/?PHF/25/5/htmltoc&aemail=author

U2 - 10.1063/1.4803906

DO - 10.1063/1.4803906

M3 - Article

VL - 25

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 5

M1 - 052103

ER -