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Research Papers: Fluid-Structure Interaction

An Improved One-Dimensional Model for Liquid Slugs Traveling in Pipelines

[+] Author and Article Information
Arris S. Tijsseling

Department of Mathematics
and Computer Science,
Eindhoven University of Technology,
P.O. Box 513,
5600 MB Eindhoven, The Netherlands
e-mail: a.s.tijsseling@tue.nl

Qingzhi Hou

School of Computer Science
and Technology,
State Key Laboratory of Hydraulic Engineering,
Simulation, and Safety,
Tianjin University,
Tianjin 300072, China
e-mail: qhou@tju.edu.cn

Zafer Bozkuş

Hydromechanics Laboratory,
Department of Civil Engineering,
Middle East Technical University,
Ankara 06800, Turkey
e-mail: bozkus@metu.edu.tr

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received November 6, 2014; final manuscript received February 4, 2015; published online August 25, 2015. Assoc. Editor: Jong Chull Jo.

J. Pressure Vessel Technol 138(1), 011301 (Aug 25, 2015) (8 pages) Paper No: PVT-14-1181; doi: 10.1115/1.4029794 History: Received November 06, 2014

An improved one-dimensional (1D) model—compared to previous work by the authors—is proposed, which is able to predict the acceleration and shortening of a single liquid slug propagating in a straight pipe with a downstream bend. The model includes holdup at the slug's tail and flow separation at the bend. The obtained analytical and numerical results are validated against experimental data. The effects of holdup, driving pressure and slug length are examined in a parameter variation study.

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Copyright © 2016 by ASME
Topics: Slug flows , Pipes , Pressure
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References

Figures

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Fig. 1

Sketch of slug propagation

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Fig. 2

Slug motion with mass shedding (definition of symbols in Ref. [2])

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Fig. 7

Acceleration history for different values of β: (a) case 1 and (b) case 2

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Fig. 6

Velocity (v1) as function of distance (x1) for different values of β: (a) case 1 and (b) case 2. Solid lines: analytical solutions (Eqs. (5) for β = 0, (16), and (17)); broken line (coinciding with solid line for β = 0.2): numerical solution.

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Fig. 5

Test rig: (a) lower elbow and tank with compressed air and (b) upper elbow

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Fig. 4

Schematic: (a) experimental setup and (b) initial slug [3]

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Fig. 8

Velocity history of the front of a 24 kg slug (L0 = 3.0 m). Prediction by 1D model.

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Fig. 9

Pressure history at the elbow for a 24 kg slug (L0 = 3.0 m) (100 psi ≈ 7 bar): (a) prediction by 1D model and (b) measurement [3]

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Fig. 10

Velocity history of the front of a 40 kg slug (L0 = 5.1 m). Prediction by 1D model.

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Fig. 11

Pressure history at the elbow for a 40 kg slug (L0 = 5.1 m) (100 psi ≈ 7 bar): (a) prediction by 1D model and (b) measurement [3]

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Fig. 3

Flow separation at elbow in Ref. [1]

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