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Research Papers: Multiphase Flows

Liquid Taylor Bubbles Rising in a Vertical Column of a Heavier Liquid: An Approximate Analysis

[+] Author and Article Information
T. K. Mandal

Department of Chemical Engineering, National Institute of Technology, Durgapur WB-713209, Indiatapasmn@gmail.com

G. Das1

Department of Chemical Engineering, Indian Institute of Technology, Kharagpur WB-721302, Indiagargi@che.iitkgp.ernet.in

P. K. Das

Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur WB-721302, Indiapkd@mech.iitkgp.ernet.in

1

Corresponding author.

J. Fluids Eng 131(1), 011303 (Dec 02, 2008) (7 pages) doi:10.1115/1.3026730 History: Received December 09, 2007; Revised September 03, 2008; Published December 02, 2008

It has been noted that a volume of lighter liquid when injected into a stationary column of a heavier liquid, it rises up as a simple elongated Taylor bubble. In the present study, experimental and theoretical analyses have been performed to understand the rise of liquid Taylor bubbles. The experiments have been performed with different liquid pairs with their viscosities ranging from 0.71mPas to 1.75mPas and conduit sizes ranging from 0.012 m to 0.0461 m. The bubble shape has been predicted using a potential flow analysis and validated from photographic measurements. This analysis has been further modified to predict the rise velocity. The modified analysis accounts for the density difference between the two liquids, viscosity effects of the primary liquid, and interfacial tension of two fluids. A semi-empirical equation has been developed, which gives satisfactory results for most of the cases.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Kerosene Taylor bubble rising in water: (a) sketch and (b) photograph

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Figure 2

Schematic of the experimental facility

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Figure 3

Experimental values of the bubble velocity as a function of the bubble volume for the different pairs of liquids studied

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Figure 4

Experimental Froude number as a function of the Eötvös number for the different pairs of liquids studied

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Figure 5

Coordinate axis to predict the shape of the liquid Taylor bubble

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Figure 6

Comparison between the prediction of Eq. 9 and the experimental shape of a kerosene bubble rising in a 0.0461 m i.d. tube filled with water

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Figure 7

The flow of primary liquid around the liquid Taylor bubble

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Figure 8

Percentage error in prediction of rise velocity of a liquid Taylor bubble

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