Buoyancy-Driven Motion of Viscous Drops through Cylindrical Capillaries at Small Reynolds Numbers

Ali Borhan, Jayanthi Pallinti

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

We examine the buoyancy-driven motion and deformation of viscous drops through vertical cylindrical capillaries under conditions where interfacial tension effects are important while inertial effects are negligible. Experimental measurements of the terminal velocity of the drops are reported for a range of drop sizes in a variety of two-phase systems, and the drop shapes are quantitatively characterized using digital image analysis. The retarding effect of the capillary wall is found to decrease as the buoyancy force becomes more dominant compared to surface tension, or as the drop fluid becomes less viscous relative to the suspending fluid. However, for a given viscosity ratio, there is a limiting value of the Bond number beyond which the wall effect remains unchanged with further increases in the Bond number. The thickness of the liquid film surrounding large drops is found to be rather insensitive to the value of the viscosity ratio. Theoretical predictions based on the numerical solution of the creeping flow equations using the boundary integral method are shown to be in good agreement with the experimental measurements.

Original languageEnglish (US)
Pages (from-to)2750-2761
Number of pages12
JournalIndustrial and Engineering Chemistry Research
Volume34
Issue number8
DOIs
StatePublished - Aug 1 1995

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Buoyancy
Reynolds number
Surface tension
Viscosity
Fluids
Liquid films
Image analysis

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering

Cite this

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abstract = "We examine the buoyancy-driven motion and deformation of viscous drops through vertical cylindrical capillaries under conditions where interfacial tension effects are important while inertial effects are negligible. Experimental measurements of the terminal velocity of the drops are reported for a range of drop sizes in a variety of two-phase systems, and the drop shapes are quantitatively characterized using digital image analysis. The retarding effect of the capillary wall is found to decrease as the buoyancy force becomes more dominant compared to surface tension, or as the drop fluid becomes less viscous relative to the suspending fluid. However, for a given viscosity ratio, there is a limiting value of the Bond number beyond which the wall effect remains unchanged with further increases in the Bond number. The thickness of the liquid film surrounding large drops is found to be rather insensitive to the value of the viscosity ratio. Theoretical predictions based on the numerical solution of the creeping flow equations using the boundary integral method are shown to be in good agreement with the experimental measurements.",
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Buoyancy-Driven Motion of Viscous Drops through Cylindrical Capillaries at Small Reynolds Numbers. / Borhan, Ali; Pallinti, Jayanthi.

In: Industrial and Engineering Chemistry Research, Vol. 34, No. 8, 01.08.1995, p. 2750-2761.

Research output: Contribution to journalArticle

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