Creeping motion of long bubbles and drops in capillary tubes

Henrik Westborg, Ole Hassager

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

The flow of inviscid bubbles and viscous drops in capillary tubes has been simulated by a Galerkin finite element method with surface tension included at the bubble/liquid interface. The results show good agreement with published experimental results. At low capillary numbers the front and the rear of the bubble are nearly spherical. As the capillary number increases the thickness of the wetting film between the tube wall and the bubble increases, and the bubble assumes a more slender shape with a characteristic bump at the rear. Recirculations are found in front and behind the bubble, which disappear at high capillary numbers. Furthermore the flow of a viscous drop through a doughnut shaped constriction in a capillary tube has been simulated. The simulations show that snap-off may be initiated by a sudden drop in the flow rate after the drops have protruded for some distance beyond the throat and the snap-off time increases with increasing capillary number. Snap-off without a sudden decrease of the flow rate does not seem to occur in constrictions of circular cross section.
Original languageEnglish
JournalJournal of Colloid and Interface Science
Volume133
Issue number1
Pages (from-to)135-147
ISSN0021-9797
DOIs
Publication statusPublished - 1989

Cite this

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title = "Creeping motion of long bubbles and drops in capillary tubes",
abstract = "The flow of inviscid bubbles and viscous drops in capillary tubes has been simulated by a Galerkin finite element method with surface tension included at the bubble/liquid interface. The results show good agreement with published experimental results. At low capillary numbers the front and the rear of the bubble are nearly spherical. As the capillary number increases the thickness of the wetting film between the tube wall and the bubble increases, and the bubble assumes a more slender shape with a characteristic bump at the rear. Recirculations are found in front and behind the bubble, which disappear at high capillary numbers. Furthermore the flow of a viscous drop through a doughnut shaped constriction in a capillary tube has been simulated. The simulations show that snap-off may be initiated by a sudden drop in the flow rate after the drops have protruded for some distance beyond the throat and the snap-off time increases with increasing capillary number. Snap-off without a sudden decrease of the flow rate does not seem to occur in constrictions of circular cross section.",
author = "Henrik Westborg and Ole Hassager",
year = "1989",
doi = "10.1016/0021-9797(89)90287-7",
language = "English",
volume = "133",
pages = "135--147",
journal = "Journal of Colloid and Interface Science",
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publisher = "Academic Press",
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}

Creeping motion of long bubbles and drops in capillary tubes. / Westborg, Henrik; Hassager, Ole.

In: Journal of Colloid and Interface Science, Vol. 133, No. 1, 1989, p. 135-147.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Creeping motion of long bubbles and drops in capillary tubes

AU - Westborg, Henrik

AU - Hassager, Ole

PY - 1989

Y1 - 1989

N2 - The flow of inviscid bubbles and viscous drops in capillary tubes has been simulated by a Galerkin finite element method with surface tension included at the bubble/liquid interface. The results show good agreement with published experimental results. At low capillary numbers the front and the rear of the bubble are nearly spherical. As the capillary number increases the thickness of the wetting film between the tube wall and the bubble increases, and the bubble assumes a more slender shape with a characteristic bump at the rear. Recirculations are found in front and behind the bubble, which disappear at high capillary numbers. Furthermore the flow of a viscous drop through a doughnut shaped constriction in a capillary tube has been simulated. The simulations show that snap-off may be initiated by a sudden drop in the flow rate after the drops have protruded for some distance beyond the throat and the snap-off time increases with increasing capillary number. Snap-off without a sudden decrease of the flow rate does not seem to occur in constrictions of circular cross section.

AB - The flow of inviscid bubbles and viscous drops in capillary tubes has been simulated by a Galerkin finite element method with surface tension included at the bubble/liquid interface. The results show good agreement with published experimental results. At low capillary numbers the front and the rear of the bubble are nearly spherical. As the capillary number increases the thickness of the wetting film between the tube wall and the bubble increases, and the bubble assumes a more slender shape with a characteristic bump at the rear. Recirculations are found in front and behind the bubble, which disappear at high capillary numbers. Furthermore the flow of a viscous drop through a doughnut shaped constriction in a capillary tube has been simulated. The simulations show that snap-off may be initiated by a sudden drop in the flow rate after the drops have protruded for some distance beyond the throat and the snap-off time increases with increasing capillary number. Snap-off without a sudden decrease of the flow rate does not seem to occur in constrictions of circular cross section.

U2 - 10.1016/0021-9797(89)90287-7

DO - 10.1016/0021-9797(89)90287-7

M3 - Journal article

VL - 133

SP - 135

EP - 147

JO - Journal of Colloid and Interface Science

JF - Journal of Colloid and Interface Science

SN - 0021-9797

IS - 1

ER -