Abstract

This paper presents a new method for calculating pressure fluctuations in pipelines during a water hammer with liquid column separation. The method is based on the discrete-vapor-cavity model (DVCM). Such kind of models assumes that vaporous cavities are formed in each computational section of the pipeline whenever the pressure drops to the vapor pressure at a given temperature. The proposed new model (new DVCM) brings a significant improvement in the reliability of predictions compared with existing DVCMs. The calculation method based on it eliminates some disadvantages of basic methods used in practice, as shown by comparisons between calculations made for simple hydraulic system under theoretical frictionless conditions using various DVCMs. Additionally, the authors present preliminary verification of the proposed model based on experimental results. The positive results of this verification, and the advantages of the new DVCM, could lead to incorporating them into commercial codes.

References

1.
Bonin
,
C. C.
, 1960, “
Water-Hammer Damage to Oigawa Power Station
,”
ASME J. Eng. Power
0022-0825,
82
, pp.
111
119
.
2.
Parmakian
,
J.
, 1985, “
Water Column Separation in Power and Pumping Plants
,”
Hydro Rev.
,
4
(
2
), pp.
85
89
.
3.
De Almeida
,
A. B.
, and
Koelle
,
E.
, 1992,
Fluid Transients in Pipe Networks
,
CMP/Elsevier
,
Southampton/London
.
4.
Bergant
,
A.
, and
Simpson
,
A. R.
, 1999, “
Pipeline Column Separation Flow Regimes
,”
J. Hydraul. Eng.
0733-9429,
125
, pp.
835
848
.
5.
Chaiko
,
M. A.
, 2006, “
A Finite-Volume Approach for Simulation of Liquid-Column Separation in Pipelines
,”
ASME J. Fluids Eng.
0098-2202,
128
(
6
), pp.
1324
1335
.
6.
Fan
,
D.
, and
Tijsseling
,
A.
, 1992, “
Fluid-Structure Interaction With Cavitation in Transient Pipe Flows
,”
ASME J. Fluids Eng.
0098-2202,
114
, pp.
268
274
.
7.
Kojima
,
E.
,
Shinada
,
M.
, and
Shindo
,
K.
, 1984, “
Fluid Transient Phenomena Accompanied With Column Separation in Fluid Power Pipeline
,”
Bull. JSME
0021-3764,
27
(
233
), pp.
2421
2429
.
8.
Martin
,
C. S.
, 1983, “
Experimental Investigation of Column Separation With Rapid Closure of Downstream Valve
,”
Proceedings of the Fourth International Conference on Pressure Surges
, BHRA, Bath, UK, pp.
77
88
.
9.
Mitosek
,
M.
, 2000, “
Study of Transient Vapor Cavitation in Series Pipe Systems
,”
J. Hydraul. Eng.
0733-9429,
126
, pp.
904
911
.
10.
Shinada
,
M.
, and
Kojima
,
E.
, 1987, “
Fluid Transient Phenomena Associated With Column Separation in the Return Line of a Hydraulic Machine Press
,”
JSME Int. J.
0913-185X,
30
(
268
), pp.
1577
1586
.
11.
Shinada
,
M.
, 1994, “
Influence of Gas Diffusion on Fluid Transient Phenomena Associated With Column Separation Generated During Decompression Operation
,”
JSME Int. J., Ser. B
1340-8054,
37
(
3
), pp.
457
466
.
12.
Simpson
,
A. R.
, and
Wylie
,
E. B.
, 1991, “
Large Water-Hammer Pressures for Column Separation in Pipelines
,”
J. Hydraul. Eng.
0733-9429,
117
, pp.
1310
1316
.
13.
Shu
,
J. -J.
, 2003, “
Modelling Vaporous Cavitation on Fluid Transients
,”
Int. J. Pressure Vessels Piping
0308-0161,
80
, pp.
187
195
.
14.
Simpson
,
A. R.
, and
Bergant
,
A.
, 1994, “
Developments in Pipeline Column Separation Experimentation
,”
J. Hydraul. Res.
0022-1686,
32
, pp.
183
194
.
15.
Streeter
,
V. L.
, 1983, “
Transient Cavitating Pipe Flow
,”
J. Hydraul. Eng.
0733-9429,
109
(
11
), pp.
1407
1423
.
16.
Wylie
,
E. B.
, 1984, “
Simulation of Vaporous and Gaseous Cavitation
,”
ASME J. Fluids Eng.
0098-2202,
106
, pp.
307
311
.
17.
Bergant
,
A.
,
Simpson
,
A. R.
, and
Tijsseling
,
A. S.
, 2006, “
Water Hammer With Column Separation: A Historical Review
,”
J. Fluids Struct.
0889-9746,
22
, pp.
135
171
.
18.
Evangelisti
,
G.
, 1969, “
Waterhammer Analysis by the Method of Characteristics
,”
L’Energ. Elettr.
, Nos. 10,11,12.
19.
Baltzer
,
R. A.
, 1967, “
Column Separation Accompanying Liquid Transients in Pipes
,”
ASME J. Basic Eng.
0021-9223,
89
, pp.
837
846
.
20.
Brown
,
R. J.
, 1968, “
Water-Column Separation at Two Pumping Plants
,”
ASME J. Basic Eng.
0021-9223,
90
, pp.
521
531
.
21.
Kranenburg
,
C.
, 1974, “
Gas Release During Transient Cavitation in Pipes
,”
J. Hydr. Div.
0044-796X,
100
, pp.
1383
1398
.
22.
Safwat
,
H. H.
, and
Van Den Polder
,
J.
, 1973, “
Experimental and Analytic Data Correlation Study of Water Column Separation
,”
ASME J. Fluids Eng.
0098-2202,
95
, pp.
91
97
.
23.
Wylie
,
E. B.
, and
Streeter
,
V. L.
, 1978,
Fluid Transients
,
McGraw-Hill
,
New York
.
24.
Streeter
,
V. L.
, and
Wylie
,
E. B.
, 1967,
Hydraulic Transients
,
McGraw-Hill
,
New York
.
25.
Safwat
,
H. H.
,
Arastu
,
A. H.
, and
Husaini
,
S. H.
, 1986, “
Generalized Applications of the Method of Characteristics for the Analysis of Hydraulic Transients Involving Empty Sections
,”
Proceedings of the Fifth Conference on Pressure Surges
, BHRA, Hanover, Germany, pp.
157
167
.
26.
Simpson
,
A. R.
, and
Bergant
,
A.
, 1994, “
Numerical Comparison of Pipe Column-Separation Models
,”
J. Hydraul. Eng.
0733-9429,
120
, pp.
361
377
.
27.
Adamkowski
,
A.
, 2003, “
Analysis of Transient Flow in Pipes With Expending or Contracting Sections
,”
ASME J. Fluids Eng.
0098-2202,
125
(
4
), pp.
716
722
.
28.
Brunone
,
B.
,
Golia
,
U. M.
, and
Greco
,
M.
, 1991, “
Some Remarks on the Momentum Equations for Fast Transients
,”
International Meeting on Hydraulic Transients With Column Separation, Ninth Round Table
, IAHR, Valencia, Spain.
29.
Vardy
,
A. E.
, and
Brown
,
J. M.
, 2003, “
Transient Turbulent Friction in Smooth Pipe Flows
,”
J. Sound Vib.
0022-460X,
259
(
5
), pp.
1011
1036
.
30.
Zarzycki
,
Z.
, and
Kudźma
,
S.
, 2005, “
Computation of Transient Turbulent Flow of Liquid in Pipe Using Unsteady Friction Formula
,”
Transactions of the Institute of Fluid-Flow Machinery
,
116
, pp.
27
42
. 0079-3205
31.
Zielke
,
W.
, 1968, “
Frequency-Dependent Friction in Transient Pipe Flow
,”
ASME J. Basic Eng.
0021-9223,
90
(
1
), pp.
109
114
.
32.
Schohl
,
G. A.
, 1993, “
Improved Approximate Method for Simulating Frequency-Dependent Friction in Transient Laminar Flow
,
ASME Trans. J. Fluids Eng.
0098-2202,
115
, pp.
420
424
.
33.
Axworthy
,
D. H.
,
Ghidaoui
,
M. S.
, and
McInnis
,
D. A.
, 2000, “
Extended Thermodynamics Derivation of Energy Dissipation in Unsteady Pipe Flow
,”
J. Hydraul. Eng.
0733-9429,
126
, pp.
276
286
.
34.
Bilicki
,
Z.
,
Giot
,
M.
, and
Kwidzynski
,
R.
, 2002, “
Fundamentals of Two-Phase Flow by the Method of Irreversible Thermodynamics
,”
Int. J. Multiphase Flow
0301-9322,
28
, pp.
1983
2005
.
35.
Adamkowski
,
A.
, and
Lewandowski
,
M.
, 2006, “
Experimental Examination of Unsteady Friction Models for Transient Pipe Flow Simulation
,”
ASME J. Fluids Eng.
0098-2202,
128
(
6
), pp.
1351
1363
.
36.
Adamkowski
,
A.
, and
Lewandowski
,
M.
, 2004, “
Unsteady Friction Modelling in Transient Pipe Flow Simulation
,”
Transactions of the Institute of Fluid-Flow Machinery
,
115
, pp.
83
97
. 0079-3205
37.
Wylie
,
E. B.
, and
Streeter
,
V. L.
, 1993,
Fluid Transients in Systems
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
You do not currently have access to this content.