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TECHNICAL PAPERS

Immiscible Liquid-Liquid Displacement in Capillary Tubes

[+] Author and Article Information
E. J. Soares, M. S. Carvalho, P. R. Souza Mendes

Department of Mechanical Engineering, Pontifı́cia Universidade Católica do Rio de Janeiro, Rua Marque⁁s de São Vicente 225, Rio de Janeiro, RJ 22453-900, Brazil

J. Fluids Eng 127(1), 24-31 (Mar 22, 2005) (8 pages) doi:10.1115/1.1852484 History: Received June 09, 2003; Revised August 13, 2004; Online March 22, 2005
Copyright © 2005 by ASME
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References

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Fairbrother,  F., and Stubbs,  A. E., 1935, “Studies in Electroendosmosis. Part VI. The Bubble-Tube Methods of Measurement,” J. Chem. Soc., 1, pp. 527–529.
Taylor,  G. I., 1961, “Deposition of a Viscous Fluid on the Wall of a Tube,” J. Fluid Mech., 10, pp. 161–165.
Cox,  B. G., 1962, “On Driving a Viscous Fluid Out of a Tube,” J. Fluid Mech., 14, pp. 81–96.
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Figures

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Representative image of the interface
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Velocity profiles as measured from a reference frame located at the tip of the interface
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Fraction of mass deposited on the tube wall as a function of the capillary number. Comparison between the results with high viscosity ratio and Taylor’s data for gas-liquid displacement.
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Images of the tip of the liquid-liquid interface for Nμ=2.Ca=0.047, 0.126, 0.176, 0.198, and 0.255.
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Streamline patterns near the liquid-liquid interface for Nμ=4. Ca=5, 2, and 1.
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Streamline patterns near the liquid-liquid interface for Ca=10.Nμ=1000, 12, 4, and 2.
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Fraction of mass deposited on the tube wall as a function of the capillary number. Numerical predictions.
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Images of the tip of the liquid-liquid interface for Ca=0.2.Nμ=12,Nμ=4, and Nμ=2.
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Fraction of mass deposited on the tube wall as a function of the capillary number. Comparison between the experimental results and the numerical predictions.
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Fraction of mass deposited on the tube wall as a function of the viscosity ratio. Numerical predictions.
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Fraction of mass deposited on the tube wall as a function of viscosity ratio. Comparison between the present numerical predictions and the experimental results of Petitjeans and Maxworthy 15 for miscible liquid-liquid displacement.
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The finite element mesh, with 362 elements and 7178 degrees of freedom
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Schematics of the apparatus
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Schematics of the problem
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Mapping between the physical and reference domains

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