Research Papers: Fluid-Structure Interaction

Improved One-Dimensional Models for Rapid Emptying and Filling of Pipelines

[+] Author and Article Information
Arris S. Tijsseling

Department of Mathematics
and Computer Science,
Eindhoven University of Technology,
P.O. Box 513,
Eindhoven 5600 MB, 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

Janek Laanearu

Department of Mechanics,
Tallinn University of Technology,
Tallinn 19086, Estonia
e-mail: janek.laanearu@ttu.ee

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received March 23, 2015; final manuscript received August 23, 2015; published online December 10, 2015. Assoc. Editor: Jong Chull Jo.

J. Pressure Vessel Technol 138(3), 031301 (Dec 10, 2015) (11 pages) Paper No: PVT-15-1050; doi: 10.1115/1.4031508 History: Received March 23, 2015; Revised August 23, 2015

Improved one-dimensional (1D) models—compared to previous work by the authors—are proposed which are able to predict the velocity, length, and position of the liquid column in the rapid emptying and filling of a pipeline. The models include driving pressure and gravity, skin friction and local drag, and holdup at the tail and gas intrusion at the front of the liquid column. Analytical and numerical results are validated against each other, and against experimental data from a large-scale laboratory setup.

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Fig. 1

Sketch of pipe emptying. CV = slug = volume between x2 and x1.

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Fig. 2

Pipeline axial coordinates and elevation profile z(x) for pipe emptying [3]; not to scale

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Fig. 3

Positions of valves, pressure transducers, and flowmeters in experimental apparatus; not to scale

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Fig. 4

Holdup coefficient β as function of dimensionless water depth h/D in a circular pipe

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Fig. 5

Simulated acceleration during gravity draining (ΔP = 0): ψ = 1 (continuous line) and ψ = 4/3 (discontinuous line)

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Fig. 6

Pressure histories at measurement Sections 1 and 9 for emptying run 4 (repetition 2): measured (whimsical lines) [3] and calculated (smooth lines) histories

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Fig. 7

Outflow discharges for pipe emptying: (a) measurements [3] and (b) calculations

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Fig. 10

Outflow discharges in pipe filling: (a) β = 0.13, (b) β = 0 (no air intrusion). Measured (continuous line with highest peak) [4], calculated herein (continuous line), and calculated in Ref. [4] (discontinuous line).

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Fig. 8

Sketch of pipe filling. CV = slug = liquid volume between x2 and x1.

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Fig. 9

Pipeline axial coordinates and elevation profile z(x) for pipe filling [4]; not to scale

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Fig. 11

Pressure histories at measurement Sections 1, 3, 5, 7, 8, and 9 for pipe filling: (a) measured [4] and (b) calculated

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Fig. 12

Pressure-head distributions in pipe-filling simulation at the instant that the water front arrives at Sections 1 (Δ), 5 (□), and 9 (○)




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