Dynamic drying transition via free-surface cusps

Catherine Kamal, James E. Sprittles, Jacco H. Snoeijer, Jens Eggers* (Corresponding Author)

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

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Abstract

We study air entrainment by a solid plate plunging into a viscous liquid, theoretically and numerically. At dimensionless speeds of order unity, a near-cusp forms due to the presence of a moving contact line. The radius of curvature of the cusp's tip scales with the slip length multiplied by an exponential of. The pressure from the air flow drawn inside the cusp leads to a bifurcation, at which air is entrained, i.e. there is 'wetting failure'. We develop an analytical theory of the threshold to air entrainment, which predicts the critical capillary number to depend logarithmically on the viscosity ratio, with corrections coming from the slip in the gas phase.

Original languageEnglish
Pages (from-to)760-786
Number of pages27
JournalJournal of fluid mechanics
Volume858
DOIs
Publication statusPublished - 10 Jan 2019

Fingerprint

Air entrainment
cusps
drying
Drying
entrainment
air
slip
Air
Wetting
air flow
Viscosity
wetting
unity
electric contacts
Liquids
Gases
curvature
viscosity
vapor phases
radii

Keywords

  • UT-Hybrid-D
  • gas/liquid flow
  • interfacial flows (free surface)
  • contact lines

Cite this

Kamal, Catherine ; Sprittles, James E. ; Snoeijer, Jacco H. ; Eggers, Jens. / Dynamic drying transition via free-surface cusps. In: Journal of fluid mechanics. 2019 ; Vol. 858. pp. 760-786.
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Dynamic drying transition via free-surface cusps. / Kamal, Catherine; Sprittles, James E.; Snoeijer, Jacco H.; Eggers, Jens (Corresponding Author).

In: Journal of fluid mechanics, Vol. 858, 10.01.2019, p. 760-786.

Research output: Contribution to journalArticleAcademicpeer-review

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N2 - We study air entrainment by a solid plate plunging into a viscous liquid, theoretically and numerically. At dimensionless speeds of order unity, a near-cusp forms due to the presence of a moving contact line. The radius of curvature of the cusp's tip scales with the slip length multiplied by an exponential of. The pressure from the air flow drawn inside the cusp leads to a bifurcation, at which air is entrained, i.e. there is 'wetting failure'. We develop an analytical theory of the threshold to air entrainment, which predicts the critical capillary number to depend logarithmically on the viscosity ratio, with corrections coming from the slip in the gas phase.

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