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TECHNICAL PAPERS

Modeling of the Onset of Gas Entrainment From a Stratified Two-Phase Region Through Branches on a Curved Surface

[+] Author and Article Information
A. F. Andaleeb, W. Saleh, T. Ahmad

Department of Mechanical and Industrial Engineering, Concordia University, Montreal, Quebec, H3G 1M8, Canada

I. Hassan1

Department of Mechanical and Industrial Engineering, Concordia University, Montreal, Quebec, H3G 1M8, Canadahassan@me.concordia.ca

1

Author to whom correspondence should be addressed.

J. Fluids Eng 128(4), 717-725 (Apr 25, 2005) (9 pages) doi:10.1115/1.2201614 History: Received March 17, 2004; Revised April 25, 2005

The present investigation is focused on the onset phenomena from a stratified two-phase region through a single branch located on a semi-circular wall, resembling a circular reservoir of a CANDU header-feeder configuration. Two different models have been developed, over the whole range of branch Froude number, to predict the critical height at the onset of gas-entrainment. The results showed that there is both a maximum and a minimum physical limit of prediction, which depends on the branch size and configuration. Also, at a distinct range of Froude numbers within the physical limits, the predicted values of both models collaborated to the same values. The critical height corresponding to the onset of gas entrainment was found to be a function of the branch orientation and Froude number. Three different experimental data sets at branch orientation angles of zero, 45, and 90 degrees were used to validate the present models. A good concurrence was illustrated between the experimental and theoretical values.

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Copyright © 2006 by American Society of Mechanical Engineers
Topics: Bifurcation
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Figures

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Figure 1

(a) Geometry and the coordinate system in the point-sink analysis and (b) geometry and the coordinate system in the finite-branch analysis (β=45deg)

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Figure 2

Predictions of HOGE∕d with Fr at β=0deg and d∕R=0.25

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Figure 3

Percentage deviation from the finite-branch analysis for β=0deg and d∕R=0.25

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Figure 9

Geometry and the coordinate system in the β=0deg finite-branch analysis

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Figure 10

Geometry and the coordinate system in the β=90deg finite-branch analysis

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Figure 4

Effect of d∕R on the predictions of HOGE∕d with Fr at β=0deg

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Figure 5

Comparison between the measured and predicted values for β=0deg and d∕R=0

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Figure 6

Comparison between the measured and predicted values for different values of d∕R and β=0deg

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Figure 7

Comparison between the measured and predicted values of different models at β=45deg and d∕R=0.25

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Figure 8

Comparison between the measured and predicted values of point-sink model at β=90deg bottom branch orientation

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