Slug liquid holdup is a critical parameter of slug flow, which influences the average liquid holdup and pressure drop along pipelines. The objective of this study is to develop a new correlation to predict slug liquid holdup in horizontal pipes. A large data set with wide ranges of operational, geometrical, and physical property parameters was used to develop the new correlation. The new correlation is a function of one independent mechanistic dimensionless variable, namely, the momentum transfer rate between the slug body and the liquid film. Physical modeling and statistical analyses suggested the appropriateness of the dimensionless momentum transfer rate as an independent parameter, which accounts for a large part of the variation in slug liquid holdup. A correlation validation and comparison study showed the accuracy of the new correlation. The statistical evaluation of the correlation resulted in an average percent relative error and percent standard deviation of 4.1% and 2.4%, respectively. Furthermore, the developed correlation was compared with other correlations and showed superior performance among all correlations, with the lowest relative performance factor of 0.01.

1.
Dukler
,
A.
, and
Hubbard
,
M.
, 1975, “
A Model for Gas-Liquid Slug Flow in Horizontal and Near Horizontal Tubes
,”
Ind. Eng. Chem. Fundam.
0196-4313,
14
, pp.
337
347
.
2.
Nicholson
,
K.
,
Aziz
,
K.
, and
Gregory
,
G.
, 1978, “
Intermittent Two Phase Flow in Horizontal Pipes, Predictive Models
,”
Can. J. Chem. Eng.
0008-4034,
56
, pp.
653
663
.
3.
Kokal
,
S.
, and
Stanislav
,
J.
, 1989, “
An Experimental Study of Two-Phase Flow in Slightly Inclined Pipes—II: Liquid Holdup and Pressure Drop
,”
Chem. Eng. Sci.
0009-2509,
44
(
3
), pp.
681
693
.
4.
Taitel
,
Y.
, and
Barnea
,
D.
, 1990, “
Two-Phase Slug Flow
,”
Adv. Heat Transfer
0065-2717,
20
, pp.
83
132
.
5.
Gregory
,
G.
,
Nicholson
,
M.
, and
Aziz
,
K.
, 1978, “
Correlation of the Liquid Volume Fraction in the Slug for Horizontal Gas-Liquid Slug Flow
,”
Int. J. Multiphase Flow
0301-9322,
4
, pp.
33
39
.
6.
Andreussi
,
P.
, and
Bendiksen
,
K.
, 1989, “
An Investigation of Void Fraction in Liquid Slugs for Horizontal and Inclined Gas-Liquid Flow
,”
Int. J. Multiphase Flow
0301-9322,
15
(
6
), pp.
937
946
.
7.
Malnes
,
D.
, 1982, “
Slug Flow in Vertical, Horizontal and Inclined Pipes
,” Institute for Energy Technology, Kjeller, Norway, Report No. IFE/KR/E-83-002 V.
8.
Brandt
,
I.
, and
Fuchs
,
P.
, 1989, “
Liquid Holdup in Slugs: Some Experimental Results From the SINTEF Two-Phase Flow Laboratory
,”
BHRA Multiphase Proceedings
, Nice, France.
9.
Nydal
,
O.
, and
Andreussi
,
P.
, 1991, “
Gas Entrainment in Long Liquid Slug Advancing in a Near Horizontal Pipe
,”
Int. J. Multiphase Flow
0301-9322,
17
(
2
), pp.
179
189
.
10.
Nydal
,
O.
,
Pintus
,
S.
, and
Andreussi
,
P.
, 1992, “
Statistical Characterization of Slug Flow in Horizontal Pipes
,”
Int. J. Muliphase Flow
,
18
(
3
), pp.
439
453
.
11.
Nadler
,
M.
, and
Mewes
,
D.
, 1995, “
Effect of the Liquid Viscosity on the Phase Distribution in Horizontal Gas-Liquid Slug Flow
,”
Int. J. Multiphase Flow
0301-9322,
21
(
2
), pp.
253
266
.
12.
Hand
,
N.
,
Spedding
,
P.
, and
Ralph
,
S.
, 1992, “
The Effect of Surface Tension on Flow Pattern, Holdup and Pressure Drop During Horizontal Air-Water Pipe Flow at Atmospheric Conditions
,”
Chem. Eng. J.
0300-9467,
48
, pp.
2285
2305
.
13.
Hand
,
N.
, and
Spedding
,
P.
, 1993, “
Horizontal Gas-Liquid Flow at Close to Atmospheric Conditions
,”
Chem. Eng. Sci.
0009-2509,
48
, pp.
197
210
.
14.
Paglianti
,
G.
,
Andreussi
,
P.
, and
Nydal
,
O.
, 1993, “
The Effect of Fluid Properties and Geometry of Void Distribution in Slug Flow
,”
BHRG Multiphase Proceedings
, Cannes, France.
15.
Felizola
,
H.
, 1992, “
Slug Flow in Extended Reach Directional Wells
,” MS thesis, The University of Tulsa, Tulsa, OK.
16.
Felizola
,
H.
, and
Shoham
,
O.
, 1995, “
A Unified Model for Slug Flow in Upward Inclined Pipes
,”
ASME J. Energy Resour. Technol.
0195-0738,
117
, pp.
1
6
.
17.
Gomez
,
L.
,
Shoham
,
O.
, and
Taitel
,
Y.
, 2000, “
Prediction of Slug Liquid Holdup: Horizontal to Upward Vertical Flow
,”
Int. J. Multiphase Flow
0301-9322,
26
, pp.
517
521
.
18.
Nuland
,
S.
,
Malvik
,
I.
,
Valle
,
A.
, and
Hende
,
P.
, 1997, “
Gas Fractions in Slugs in Dense-Gas Two-Phase Flow From Horizontal to 60 Degrees of Inclination
,”
1997 Proceedings of the ASME Fluids Engineering Division
.
19.
Zhang
,
H.
,
Wang
,
Q.
,
Sarica
,
C.
, and
Brill
,
J.
, 2003, “
A Unified Mechanistic Model for Slug Liquid Holdup and Transition Between Slug and Dispersed Bubble Flow
,”
Int. J. Muliphase Flow
,
29
, pp.
97
107
.
20.
Abdul-Majeed
,
G.
, 2000, “
Liquid Slug Holdup in Horizontal and Slightly Inclined Two-Phase Slug Flow
,”
J. Pet. Sci. Eng.
0920-4105,
27
, pp.
27
32
.
21.
Rothe
,
P.
,
Crowley
,
C.
, and
Sam
,
R.
, 1986, “
Investigation of Two-Phase Flow in Horizontal Pipes at Large Pipe Size and High Gas Density
,” AGA Pipe Research Committee Project No. PR 172-507.
22.
Kouba
,
G.
, 1986, “
Horizontal Slug Flow Modeling and Metering
,” Ph.D. thesis, The University of Tulsa, Tulsa, OK.
23.
Kokal
,
S.
, 1987, “
An Experimental Study of Two-Phase Flow in Inclined Pipes
,” Ph.D. thesis, The University of Calgary, Calgary, Canada.
24.
Marcano
,
R.
, 1996, “
Slug Characteristics for Two-Phase Horizontal Flow
,” MS thesis, The University of Tulsa, Tulsa, OK.
25.
Roumazeilles
,
P.
, 1994, “
An Experimental Study on Downward Slug Flow in Inclined Pipes
,” MS thesis, The University of Tulsa, Tulsa, OK.
26.
Olive
,
N.
, 2000, “
6-in. BP Flow Loop
,” TUFFP Advisory Board Meeting Brochure and Presentation Slide Copy.
27.
Shoham
,
O.
, and
Taitel
,
Y.
, 1984, “
Stratified Turbulent-Turbulent Gas Liquid Flow in Horizontal and Inclined Pipes
,”
AIChE J.
0001-1541,
30
(
3
), pp.
377
385
.
28.
Nicklin
,
D.
,
Wilkes
,
J.
, and
Davidson
,
J.
, 1962, “
Two-Phase Flow in Vertical Tubes
,”
Trans. Inst. Chem. Eng.
0371-7496,
40
, pp.
61
68
.
29.
Bendiksen
,
K.
, 1984, “
An Experimental Investigation of the Motion of Long Bubbles in Inclined Tubes
,”
Int. J. Multiphase Flow
0301-9322,
10
(
4
), pp.
467
483
.
30.
Ratkowsky
,
D.
, 1983,
Non-Linear Regression Modeling, A Unified Practical Approach
,
1st ed.
,
Marcel Dekker
,
New York, NY
.
31.
Ferschneider
,
G.
, 1983, “
Ecoulement Diphasiques Gas-Liquid a Poches et a Bouchons en Conduits
,”
Rev. Inst. Fr. Pet.
0020-2274,
38
, pp.
153
160
.
You do not currently have access to this content.