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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

Hou, Q. , Tijsseling, A. S. , and Bozkuş, Z. , 2014, “Dynamic Force on an Elbow Caused by a Traveling Liquid Slug,” ASME J. Pressure Vessel Technol., 136(3), p. 031302. [CrossRef]
Bozkuş, Z. , and Wiggert, D. C. , 1997, “Liquid Slug Motion in a Voided Line,” J. Fluids Struct., 11(8), pp. 947–963. [CrossRef]
Bozkuş, Z. , Baran, Ö. , and Ger, M. , 2004, “Experimental and Numerical Analysis of Transient Liquid Slug Motion in a Voided Line,” ASME J. Pressure Vessel Technol., 126(2), pp. 241–249. [CrossRef]
Tijsseling, A. S. , and Vardy, A. E. , 2004, “Time Scales and FSI in Unsteady Liquid-Filled Pipe Flow,” The 9th International Conference on Pressure Surges, S. J. Murray ed., Chester, UK, BHR Group, Cranfield, UK, pp. 135–150.
Tijsseling, A. S. , and Vardy, A. E. , 2008, “Time Scales and FSI in Oscillatory Liquid-Filled Pipe Flow,” The 10th International Conference on Pressure Surges, S. Hunt ed., Edinburgh, UK, BHR Group, Cranfield, UK, pp. 553–568.
Young, H. D. , and Freedman, R. A. , 2014, University Physics, 13th ed., Section 8.6, Pearson Education, Harlow, UK.
Bozkuş, Z. , 1991, “The Hydrodynamics of an Individual Transient Slug in a Voided Line,” Ph.D. thesis, Department of Civil and Environmental Engineering, Michigan State University, East Lansing, MI.
Heath, M. T. , 2002, Scientific Computing, 2nd ed., McGraw-Hill, New York, Chap. 9. [PubMed] [PubMed]
Chu, S. S. , 2003, “Separated Flow in Bends of Arbitrary Turning Angles, Using the Hodograph Method and Kirchhoff's Free Streamline Theory,” ASME J. Fluids Eng., 125(3), pp. 438–442. [CrossRef]
Hou, Q. , Kruisbrink, A. C. H. , Pearce, F. R. , Tijsseling, A. S. , and Yue, T. , 2014, “Smoothed Particle Hydrodynamics Simulations of Flow Separation at Bends,” Comput. Fluids, 90, pp. 138–146. [CrossRef]
Kayhan, B. A. , and Bozkuş, Z. , 2011, “A New Method for Prediction of the Transient Force Generated by a Liquid Slug Impact on an Elbow of an Initially Voided Line,” ASME J. Pressure Vessel Technol., 133(2), p. 021701. [CrossRef]
Koppel, T. , and Ainola, L. , 2006, “Identification of Transition to Turbulence in a Highly Accelerated Start-Up Pipe Flow,” ASME J. Fluids Eng., 128(4), pp. 680–686. [CrossRef]
He, S. , Ariyaratne, C. , and Vardy, A. E. , 2008, “A Computational Study of Wall Friction and Turbulence Dynamics in Accelerating Pipe Flows,” Comput. Fluids 37(6), pp. 674–689. [CrossRef]
He, S. , Ariyaratne, C. , and Vardy, A. E. , 2011, “Wall Shear Stress in Accelerating Turbulent Pipe Flow,” J. Fluid Mech., 685, pp. 440–460. [CrossRef]
Annus, I. , Koppel, T. , Sarv, L. , and Ainola, L. , 2013, “Development of Accelerating Pipe Flow Starting From Rest,” ASME J. Fluids Eng., 135(11), p. 111204. [CrossRef]

Figures

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Fig. 1

Sketch of slug propagation

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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. 2

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

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Fig. 3

Flow separation at elbow in Ref. [1]

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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. 7

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

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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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