Heat transfer to two-component gas–liquid mixtures is needed in many industries but there is lack of a well-verified predictive method. A correlation is presented for heat transfer during flow of gas–liquid nonboiling mixtures in horizontal tubes. It has been verified with a wide range of data that includes tube diameters of 4.3–57 mm, pressures from 1 to 4.1 bar, temperatures from 12 to 62 °C, gravity <0.1% to 100% earth gravity, liquid Reynolds number from 9 to 1.2 × 105, and ratio of gas and liquid velocities from 0.24 to 9298. The 946 data points from 18 sources are predicted with mean absolute deviation (MAD) of 19.2%. The same data were compared to five other correlations; they had much larger deviations. Therefore, the new correlation is likely to be helpful in more accurate designs.

References

References
1.
Shah
,
M. M.
,
1981
, “
Generalized Prediction of Heat Transfer During Two Component Gas-Liquid Flow in Tubes and Other Channels
,”
AIChE Symp. Ser.
,
77
(
208
), pp.
40
151
.http://jglobal.jst.go.jp/en/public/20090422/200902063664426840
2.
Johnson
,
H. A.
, and
Abou-Sabe
,
A. H.
,
1952
, “
Heat Transfer and Pressure Drop for Turbulent Flow of Air-Water Mixtures in a Horizontal Pipe
,”
Trans. ASME
,
74
, pp.
977
987
.
3.
King
,
C. D. G.
,
1952
, “
Heat Transfer and Pressure Drop for an Air-Water Mixture Flowing In a 0.737 Inch I.D. Horizontal Tube
,”
M.S. thesis
, University of California, Berkeley, CA.https://catalog.hathitrust.org/Record/100649763
4.
Fried
,
L.
,
1954
, “
Pressure Drop and Heat Transfer for Two-Phase, Two-Component Flow
,”
Chem. Eng. Prog. Symp. Ser.
,
50
(
9
), pp.
47
51
.
5.
Pletcher
,
R. H.
, and
McManus
,
H. N.
,
1968
, “
Heat Transfer and Pressure Drop in Horizontal Annular Two-Phase, Two-Component Flow
,”
Int. J. Heat Mass Transfer
,
11
(
7
), pp.
1087
1104
.
6.
Ruppert
,
K. A.
,
1975
, “
Druckverlust Und Warmeubergang Bei Der Verdampfung in Durchstromten Glatten Und Rauhen Rohren in Gegenwart Von Inertgassen
,” Dissertation, Karlsruhe University, Karlsruhe, Germany.
7.
Oliver
,
D. R.
, and
Wright
,
S. J.
,
1964
, “
Pressure Drop and Heat Transfer in Gas-Liquid Slug Flow in Horizontal Tubes
,”
Br. Chem. Eng.
,
9
(
9
), pp.
590
596
.
8.
Franca
,
F. A.
,
Bannwart
,
A. C.
,
Ricardo
,
M. T.
,
Camargo
,
R. M.
, and
Gonçalves
,
M. A. L.
,
2008
, “
Mechanistic Modeling of the Convective Heat Transfer Coefficient in Gas-Liquid Intermittent Flows
,”
Heat Transfer Eng.
,
29
(
12
), pp.
984
998
.
9.
Vaze
,
M. J.
, and
Banerjee
,
J.
,
2011
, “
A Modified Heat Transfer Correlation for Two-Phase Flow
,”
J. Heat Mass Transfer
,
47
(
9
), pp.
1159
1165
.
10.
Nada
,
S. A.
,
2017
, “
Experimental Investigation and Empirical Correlations of Heat Transfer in Different Regimes of Air–Water Two-Phase Flow in a Horizontal Tube
,”
ASME J. Therm. Sci. Eng. Appl.
,
9
(
2
), p.
021004
.
11.
Wang
,
X.
,
Wang
,
Z.
,
Zhang
,
X.
, and
Limin
,
H. E.
,
2017
, “
Heat Transfer of Oil-Gas Slug Flow in Horizontal Pipe
,”
CIESC J.
,
68
(
6
), pp.
2306
2314
.http://www.hgxb.com.cn/EN/abstract/abstract18834.shtml
12.
Kim
,
D.
,
2000
, “
An Experimental and Empirical Investigation of Convective Heat Transfer for Gas–Liquid Two-Phase Flow in Vertical and Horizontal Pipes
,” Ph.D. thesis, Oklahoma State University, Stillwater, OK.
13.
Koviri
,
R. N. K.
,
Bhagwat
,
S. M.
, and
Ghajar
,
A. J.
,
2015
, “
Heat Transfer Measurements and Correlations Assessment for Upward Inclined Gas-Liquid Two Phase Flow
,”
First Thermal and Fluid Engineering Summer Conference
(TFESC), New York, Aug. 9–12, Paper No.
TFESC-12494
.https://aghajar.okstate.edu/sites/default/files/pub-pdfs/John-Bhagwat-Ghajar%20%28TFESC-12493%29.pdf
14.
Noville
,
I.
, and
Bannwart
,
A. C.
,
2010
, “
Experimental Study of Heat Transfer in Horizontal Gas-Liquid Intermittent Flow
,”
ASME
Paper No. IHTC14-22698.
15.
Deshpande
,
S.
,
Bishop
,
A.
, and
Karandikar
,
B.
,
1991
, “
Heat Transfer to Air-Water Plug-Slug Flow in Horizontal Pipes
,”
Ind. Eng. Chem. Res.
,
30
(
9
), pp.
2172
2180
.
16.
Witte
,
L. C.
,
Bousman
,
W. S.
, and
Fore
,
L. B.
,
1996
, “
Studies of Two-Phase Flow Dynamics and Heat Transfer at Reduced Gravity Conditions
,” NASA Contractor, NASA Lewis Research Center, Cleveland, OH, Report No.
198459
.https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19960015900.pdf
17.
Shoham
,
O.
,
Dukler
,
A. E.
, and
Taitel
,
Y.
,
1982
, “
Heat Transfer During Intermittent/Slug Flow in Horizontal Tubes
,”
Ind. Eng. Chem. Fundam.
,
21
(
3
), pp.
312
319
.
18.
Kim
,
D.
, and
Ghajar
,
A. J.
,
2002
, “
Heat Transfer Measurements and Correlations for Air-Water Flow of Different Flow Patterns in a Horizontal Pipe
,”
Exp. Therm. Fluid Sci.
,
25
(
8
), pp.
659
676
.
19.
Taitel
,
Y.
, and
Dukler
,
A. E.
,
1976
, “
A Model for Predicting Flow Regime Transitions in Horizontal and Near Horizontal Gas-Liquid Flow
,”
AIChE J.
,
22
(
1
), pp.
47
54
.
20.
Knott
,
R. F.
,
Anderson
,
R. N.
,
Acrivos
,
A.
, and
Petersen
,
E. E.
,
1959
, “
An Experimental Study of Heat Transfer to Nitrogen-Oil Mixtures
,”
Ind. Eng. Chem.
,
51
(
11
), pp.
1369
1372
.
21.
Hossainy
,
T. A.
,
2014
, “
Non-Boiling Heat Transfer in Horizontal and Near Horizontal Downward Inclined Gas-Liquid Two Phase Flow
,”
M.S. thesis
, Oklahoma State University, Stillwater, OK.https://shareok.org/bitstream/handle/11244/14889/Hossainy_okstate_0664M_13499.pdf?sequence=1
22.
Kaminsky
,
R. D.
,
1999
, “
Estimation of Two-Phase Flow Heat Transfer in Pipes
,”
ASME J. Energy Resour. Technol.
,
121
(
2
), pp.
75
80
.
23.
Kim
,
J.
, and
Ghajar
,
A.
,
2006
, “
A General Heat Transfer Correlation for Non-Boiling Gas-Liquid Flow With Different Flow Patterns in Horizontal Pipes
,”
Int. J. Multiphase Flow
,
32
(
4
), pp.
447
465
.
24.
Tang
,
C. C.
, and
Ghajar
,
A. J.
,
2007
, “
Validation of a General Heat Transfer Correlation for Non-Boiling Two-Phase Flow With Different Flow Patterns and Pipe Inclination Angles
,”
ASME
Paper No. HT2007-32219.
25.
Chisholm
,
D.
,
1973
, “
Void Fraction During Two-Phase Flow
,”
J. Mech. Eng. Sci.
,
15
(
3
), pp.
235
236
.
26.
Woldesemayat
,
M. A.
, and
Ghajar
,
A. J.
,
2007
, “
Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes
,”
Int. J. Multiphase Flow
,
33
(
4
), pp.
347
370
.
27.
Perea
,
C. D.
,
Bassani
,
C. L.
,
Cozin
,
C.
,
Juquueira
, and
Morales
,
R. E. M.
,
2012
, “
Numerical Simulation of Heat Transfer in Two-Phase Slug Flow Using a Slug Tracking Method
,”
14th Brazilian Congress of Thermal Sciences and Engineering
, Rio de Janeiro, Brazil, Nov. 18–22.
28.
Lima
,
I. N. R. C.
,
2009
, “
Estudo Experimental Da Transferência De Calor No Escoamento Bifásico Intermitente Horizontal
,” M.S. thesis, Universidade Estadual de Campinas, Sau Paulo, Brazil.
29.
Mandhane
,
J. M.
,
Gregory
,
G. A.
, and
Aziz
,
K.
,
1974
, “
A Flow Pattern Map for Gas-Liquid Flow in Horizontal Pipes
,”
Int. J. Multiphase Flow
,
1
(
4
), pp.
537
553
.
30.
Fore
,
L. B.
,
Witte
,
L. C.
, and
McQuillen
,
J. B.
,
1997
, “
Heat Transfer to Two-Phase Slug Flows Under Reduced-Gravity Conditions
,”
Int. J. Multiphase Flow
,
23
(
2
), pp.
301
311
.
31.
Sieder
,
E. N.
, and
Tate
,
G. E.
,
1936
, “
Heat Transfer and Pressure Drop of Liquids in Tubes
,”
Ind. Eng. Chem.
,
28
(
12
), pp.
1429
1435
.
32.
Dittus
,
F. W.
, and
Boelter
,
L. M. K.
,
1930
, “
Heat Transfer in Automobile Radiators of the Tubular Type
,”
Univ. California Publ. Eng.
,
2
(
1
), pp.
443
461
.
33.
Nino
,
E.
, and
Ruocco
,
G.
,
1999
, “
Experimental Investigation of the Heat Exchange to a Compartmentalized Plug Flow
,”
Int. J. Therm. Sci.
,
38
(
11
), pp.
955
959
.
34.
Kalapatapu
,
S. B.
,
2014
, “
Non-Boiling Heat Transfer in Horizontal and Near Horizontal Upward Inclined Gas-Liquid Two Phase Flow
,”
M.S. thesis
, Oklahoma State University, Stillwater, OK.https://shareok.org/bitstream/handle/11244/14923/Kalapatapu_okstate_0664M_13513.pdf?sequence=1
35.
Lockhart
,
R.
, and
Martinelli
,
R. C.
,
1949
, “
Proposed Correlation of Data for Isothermal Two-Phase, Two-Component Flow in Pipes
,”
Chem. Eng. Prog.
,
45
(
1
), pp.
39
48
.
36.
Lemmon
,
E. W.
,
Huber
,
M. L.
, and
McLinden
,
M. O.
,
2013
, “
NIST Reference Fluid Thermodynamic and Transport Properties
,” REFPROP version 9.1, NIST, Gaithersburg, MD.
37.
Vargaftik
,
N. B.
,
1975
,
Tables on the Thermophysical Properties of Liquids and Gases
,
2nd ed.
,
Hemisphere Publishing
,
Washington, DC
.
38.
Kosorotov
,
M. A.
,
1974
, “
Heat Transfer to Water/Air Flow with Low Air Content
,”
Teploenergetica
,
21
(
9
), pp.
29
31
.
39.
Wright
,
S. J.
,
1962
, Ph.D. thesis, University of Birmingham, Birmingham, UK.
40.
Johnson
,
H. A.
,
1955
, “
Heat Transfer and Pressure Drop for Viscous-Turbulent Flow of Oil-Air Mixtures in a Horizontal Pipe
,”
ASME Trans.
,
77
, pp.
1257
1264
.
41.
Pletcher
,
R. H.
,
1966
, “
An Experimental and Analytical Study of Heat Transfer and Pressure Drop in Horizontal Annular Two-Phase Two-Component Flow
,”
Ph.D. thesis
, Cornell University, Ithaca, NY.https://catalog.hathitrust.org/Record/009227627
42.
Ghajar
,
A. J.
, and
Tang
,
C. C.
,
2007
, “
Heat Transfer Measurements, Flow Pattern Maps, and Flow Visualization for Non-Boiling Two-Phase Flow in Horizontal and Slightly Inclined Pipe
,”
Heat Transfer Eng.
,
28
(
6
), pp.
525
540
.
43.
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