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.

References

References
1.
Tijsseling
,
A. S.
,
Hou
,
Q.
, and
Bozkuş
,
Z.
,
2016
, “
An Improved One-Dimensional Model for Liquid Slugs Traveling in Pipelines
,”
ASME J. Pressure Vessel Technol.
,
138
(
1
), p.
011301
.
2.
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
.
3.
Laanearu
,
J.
,
Annus
,
I.
,
Koppel
,
T.
,
Bergant
,
A.
,
Vučkovič
,
S.
,
Hou
,
Q.
,
Tijsseling
,
A. S.
,
Anderson
,
A.
, and
van't Westende
,
J. M. C.
,
2012
, “
Emptying of Large-Scale Pipeline by Pressurized Air
,”
ASCE J. Hydraul. Eng.
,
138
(
12
), pp.
1090
1100
.
4.
Hou
,
Q.
,
Tijsseling
,
A. S.
,
Laanearu
,
J.
,
Annus
,
I.
,
Koppel
,
T.
,
Bergant
,
A.
,
Vučkovič
,
S.
,
Anderson
,
A.
, and
van't Westende
,
J. M. C.
,
2014
, “
Experimental Investigation on Rapid Filling of a Large-Scale Pipeline
,”
ASCE J. Hydraul. Eng.
,
140
(
11
), p.
04014053
.
5.
Liou
,
C. P.
, and
Hunt
,
W. A.
,
1996
, “
Filling of Pipelines With Undulating Elevation Profiles
,”
ASCE J. Hydraul. Eng.
,
122
(
10
), pp.
534
539
. (Discussion and Closure: 123(12), pp. 1170–1174).
6.
Vasconcelos
,
J. G.
, and
Wright
,
S. J.
,
2008
, “
Rapid Flow Startup in Horizontal Pipelines
,”
ASCE J. Hydraul. Eng.
,
134
(
7
), pp.
984
992
.
7.
Laanearu
,
J.
,
Hou
,
Q.
,
Annus
,
A.
, and
Tijsseling
,
A. S.
,
2015
, “
Water-Column Mass Losses During Emptying of a Large-Scale Pipeline by Pressurized Air
,”
Proc. Est. Acad. Sci.
,
64
(
1
), pp.
8
16
.
8.
Bergant
,
A.
,
Hou
,
Q.
,
Keramat
,
A.
, and
Tijsseling
,
A. S.
,
2011
, “
Experimental and Numerical Analysis of Water Hammer in a Large-Scale PVC Pipeline Apparatus
,”
4th IAHR International Meeting on Cavitation and Dynamic Problems in Hydraulic Machinery and Systems
,
A.
Gajic
,
M.
Benisek
, and
M.
Nedeljkovic
, eds.,
Belgrade, Serbia
, pp.
27
36
.
9.
Bergant
,
A.
,
Hou
,
Q.
,
Keramat
,
A.
, and
Tijsseling
,
A. S.
,
2013
, “
Waterhammer Tests in a Long PVC Pipeline With Short Steel End Sections
,”
J. Hydraul. Struct.
,
1
(
1
), pp.
23
34
.
10.
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
.
11.
Kruisbrink
,
A.
,
Ch.
,
H.
, and
Tijsseling
,
A. S.
,
2008
, “
The Momentum Flux Coefficient for Modelling Steady and Unsteady Head Losses in Turbulent Pipe Flow
,”
10th International Conference on Pressure Surges
,
S.
Hunt
, ed., Edinburgh, UK, BHR Group, Cranfield, UK, pp.
379
399
.
12.
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
.
13.
He
,
S.
,
Ariyaratne
,
C.
, and
Vardy
,
A. E.
,
2011
, “
Wall Shear Stress in Accelerating Turbulent Pipe Flow
,”
J. Fluid Mech.
,
685
, pp.
440
460
.
14.
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
.
15.
Tijsseling
,
A. S.
, and
Vardy
,
A. E.
,
2008
, “
Time Scales and FSI in Oscillatory Liquid-Filled Pipe Flow
,”
10th International Conference on Pressure Surges
,
S.
Hunt
, ed., Edinburgh, UK, BHR Group, Cranfield, UK, pp.
553
568
.
16.
Wiggert
,
D. C.
,
1972
, “
Transient Flow in Free-Surface, Pressurized Systems
,”
ASCE J. Hydraul. Division
,
98
(
1
), pp.
11
27
.
17.
Tijsseling
,
A. S.
,
Hou
,
Q.
,
Svingen
,
B.
, and
Bergant
,
A.
,
2012
, “
Acoustic Resonance in a Reservoir-Double Pipe-Orifice System
,”
ASME
Paper No. PVP2012-78085.
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