A two-dimensional computational fluid dynamics (CFD) code has been used to study the anomalies encountered in convection heat transfer to upward turbulent flows of supercritical fluids in tubes. In this study, the effect of turbulent viscosity variations on heat transfer deterioration (HTD) and the mechanisms involved have been investigated. The results show that the suppression of the flow turbulence which leads to the deterioration of heat transfer can be partially due to the decrease in the turbulent viscosity as a result of density decrease along a heated flow. Before this study the buoyancy and the thermal acceleration effects were called as the main two known mechanisms for the heat transfer deterioration.

References

1.
Bazargan
,
M.
, and
Fraser
,
D.
,
2009
, “
Heat Transfer to Supercritical Water in a Horizontal Pipe: Modeling, New Empirical Correlation, and Comparison Against Experimental Data
,”
ASME J. Heat Transfer
,
131
, p.
061702
.10.1115/1.3082403
2.
Kim
,
H.
,
Lee
,
J. I.
, and
No
,
H. C.
,
2010
, “
Thermal Hydraulic Behavior in the Deteriorated Turbulent Heat Transfer Regime for a Gas-Cooled Reactor
,”
Nucl. Eng. Des.
,
240
, pp.
783
795
.10.1016/j.nucengdes.2009.11.004
3.
Simoes
,
P. C.
,
Afonso
,
B.
,
Fernandes
,
J.
, and
Mota
,
J. P. B.
,
2008
, “
Static Mixers as Heat Exchangers in Supercritical Fluid Extraction Processes
,”
J. Supercrit. Fluid
,
43
, pp.
477
483
.10.1016/j.supflu.2007.07.015
4.
Nikitin
,
K.
,
Kato
,
Y.
, and
Ngo
,
L.
,
2006
, “
Printed Circuit Heat Exchanger Thermal–Hydraulic Performance in Supercritical CO2 Experimental Loop
,”
Int. J. Refrig.
,
29
, pp.
807
814
.10.1016/j.ijrefrig.2005.11.005
5.
Kraan
,
M.
,
Peeters
,
M. M. W.
,
Cid
,
M. V. F.
,
Woerlee
,
G. F.
,
Veugelers
,
W. J. T.
, and
Witkamp
,
G. J.
,
2005
, “
The Influence of Variable Physical Properties and Buoyancy on Heat Exchanger Design for Near- and Supercritical Conditions
,”
J. Supercrit. Fluid
,
34
, pp.
99
105
.10.1016/j.supflu.2004.10.007
6.
Hall
,
W. B.
, and
Jackson
,
J. D.
,
1969
, “
Laminarization of a Turbulent Pipe Flow by Buoyancy Force
,”
ASME Paper No. 69-HT-5
5
.
7.
Tanaka
,
H.
,
Tsuge
,
A.
,
Hirata
,
M.
, and
Nishiwaki
,
N.
,
1973
, “
Effects of Buoyancy and of Acceleration Owing to Thermal Expansion on Forced Turbulent Convection in Vertical Circular Tubes, Criteria of the Effects, Velocity and Temperature Profiles, and Reverse Transition From Turbulent to Laminar Flow
,”
Int. J. Heat Mass Transfer
,
16
, pp.
1267
1288
.10.1016/0017-9310(73)90135-X
8.
Jackson
,
J. D.
, and
Hall
,
W. B.
,
1979
, “
Forced Convection Heat Transfer to Fluids at Supercritical Pressure
,”
Turbulent Forced Convection in Channels and Bundles
, Vol.
2
,
S.
Kakac
and
D. B.
Spalding
, eds.,
Hemisphere
,
New York
, pp.
563
611
.
9.
Jackson
,
J. D.
, and
Hall
,
W. B.
,
1979
, “
Influences of Buoyancy on Heat Transfer to Fluids Flowing in Vertical Tubes Under Turbulent Conditions
,”
Turbulent Forced Convection in Channels and Bundles
, Vol.
2
,
S.
Kakac
and
D. B.
Spalding
, eds.,
Hemisphere
,
New York
, pp.
613
640
.
10.
Renz
,
U.
, and
Bellinghausen
,
R.
,
1986
, “
Heat Transfer in a Vertical Pipe at Supercritical Pressure
,”
8th International Heat Transfer Conference
,
San Francisco
, Vol.
3
, pp.
957
962
.
11.
McEligot
,
D. M.
, and
Jackson
,
J. D.
,
2004
, “
Deterioration Criteria for Convective Heat Transfer in Gas Flow Through Non-Circular Ducts
,”
Nucl. Eng. Des.
,
232
, pp.
327
333
.10.1016/j.nucengdes.2004.05.004
12.
Bazargan
,
M.
,
Fraser
,
D.
, and
Chatoorgan
,
V.
,
2005
, “
Effect of Buoyancy on Heat Transfer in Supercritical Water Flow in a Horizontal Round Tube
,”
ASME J. Heat Tranfer
,
127
, pp.
897
902
.10.1115/1.1929787
13.
Lee
,
J. I.
,
Hejzlar
,
P.
,
Saha
,
P.
,
Kazimi
,
M. S.
, and
McEligot
,
D. M.
,
2008
, “
Deteriorated Turbulent Heat Transfer (DTHT) of Gas Up-Flow in a Circular Tube: Experimental Data
,”
Int. J. Heat Mass Transfer
,
51
, pp.
3259
3266
.10.1016/j.ijheatmasstransfer.2008.03.021
14.
Lee
,
J. I.
,
Hejzlar
,
P.
,
Saha
,
P.
,
Kazimi
,
M. S.
, and
McEligot
,
D. M.
,
2008
, “
Deteriorated Turbulent Heat Transfer (DTHT) of Gas Up-Flow in a Circular Tube: Heat Transfer Correlations
,”
Int. J. Heat Mass Transfer
,
51
, pp.
5318
5326
.10.1016/j.ijheatmasstransfer.2008.03.022
15.
He
,
S.
,
Jiang
,
P.-X.
,
Xu
,
Y.-J.
,
Shi
,
R.-F.
,
Kim
,
W. S.
, and
Jackson
,
J. D.
,
2005
, “
A Computational Study of Convection Heat Transfer to CO2 at Supercritical Pressures in a Vertical Mini Tube
,”
Int. J. Therm. Sci.
,
44
, pp.
521
530
.10.1016/j.ijthermalsci.2004.11.003
16.
Cheng
,
X.
,
Kuang
,
B.
, and
Yang
,
Y. H.
,
2007
, “
Numerical Analysis of Heat Transfer in Supercritical Water Cooled Flow Channels
,”
Nucl. Eng. Des.
,
237
, pp.
240
252
.10.1016/j.nucengdes.2006.06.011
17.
Yang
,
J.
,
Oka
,
Y.
,
Ishiwatari
,
Y.
,
Liu
,
J.
, and
Yoo
,
J.
,
2007
, “
Numerical Investigation of Heat Transfer in Upward Flows of Supercritical Water in Circular Tubes and Tight Fuel Rod Bundles
,”
Nucl. Eng. Des.
,
237
, pp.
420
430
.10.1016/j.nucengdes.2006.08.003
18.
He
,
S.
,
Kim
,
W. S.
, and
Jackson
,
J. D.
,
2008
, “
A Computational Study of Convective Heat Transfer to Carbon Dioxide at a Pressure Just Above the Critical Value
,”
Appl. Therm. Eng.
,
28
, pp.
1662
1675
.10.1016/j.applthermaleng.2007.11.001
19.
Sharabi
,
M.
,
Ambrosini
,
W.
,
He
,
S.
, and
Jackson
,
J. D.
,
2008
, “
Prediction of Turbulent Convective Heat Transfer to a Fluid at Supercritical Pressure in Square and Triangular Channels
,”
Ann. Nucl. Energy
,
35
, pp.
993
1005
.10.1016/j.anucene.2007.11.006
20.
He
,
S.
,
Kim
,
W. S.
, and
Bae
,
J. H.
,
2008
, “
Assessment of Performance of Turbulence Models in Predicting Supercritical Pressure Heat Transfer in a Vertical Tube
,”
Int. J. Heat Mass Transfer
,
51
, pp.
4659
4675
.10.1016/j.ijheatmasstransfer.2007.12.028
21.
Jiang
,
P.-X.
,
Zhang
,
Y.
, and
Shi
,
R.-F.
,
2008
, “
Experimental and Numerical Investigation of Convection Heat Transfer of CO2 at Supercritical Pressures in a Vertical Mini-Tube
,”
Int. J. Heat Mass Transfer
,
51
, pp.
3052
3056
.10.1016/j.ijheatmasstransfer.2007.09.008
22.
Licht
,
J.
,
Anderson
,
M.
, and
Corradini
,
M.
,
2009
, “
Heat Transfer and Fluid Flow Characteristics in Supercritical Pressure Water
,”
ASME J. Heat Tranfer
,
131
, p.
072502
.10.1115/1.3090817
23.
Sharabi
,
M.
, and
Ambrosini
,
W.
,
2009
, “
Discussion of Heat Transfer Phenomena in Fluids at Supercritical Pressure With the Aid of CFD Models
,”
Ann. Nucl. Energy
,
36
, pp.
60
71
.10.1016/j.anucene.2008.10.006
24.
Patankar
,
S. V.
,
1978
,
Numerical Heat Transfer and Fluid Flow
,
Taylor and Francis
,
London
.
25.
Versteeg
,
H. K.
, and
Malalasekera
,
W.
,
1995
,
An Introduction to Computational Fluid Dynamic: The Finite Volume Method
,
Longman Group Ltd
, London.
26.
Mohseni
,
M.
, and
Bazargan
,
M.
,
2011
, “
Effect of Turbulent Prandtl Number on Convective Heat Transfer to Turbulent Flow of a Supercritical Fluid in a Vertical Round Tube
,”
ASME J. Heat Tranfer
,
133
, p.
071701
.10.1115/1.4003570
27.
Mohseni
,
M.
, and
Bazargan
,
M.
,
2010
, “
The Effect of the Low Reynolds Number k-e Turbulence Models on Simulation of the Enhanced and Deteriorated Convective Heat Transfer to the Supercritical Fluid Flows
,”
Heat Mass Transfer
,
47
, pp.
609
619
.10.1007/s00231-010-0753-9
28.
Bazargan
,
M.
, and
Mohseni
,
M.
,
2009
, “
The Significance of the Buffer Zone of Boundary Layer on Convective Heat Transfer to a Vertical Turbulent Flow of a Supercritical Fluid
,”
J. Supercrit. Fluid
,
51
, pp.
221
229
.10.1016/j.supflu.2009.08.004
29.
Kim
,
J. K.
,
Jeon
,
H. K.
,
Yoo
,
J. Y.
, and
Lee
,
J. S.
,
2005
, “
Experimental Study on Heat Transfer Characteristics of Turbulent Supercritical Flow in Vertical Circular/Non-Circular Tubes
,”
Proceedings of the 11th International Topical Meeting on Nuclear Reactor Thermal Hydraulics (NURETH 11)
,
Avignon, France
,
Oct. 2–6
, Paper No. 265.
30.
Song
,
J. H.
,
Kim
,
H. Y.
,
Kim
,
H.
, and
Bae
,
Y. Y.
,
2008
, “
Heat Transfer Characteristics of a Supercritical Fluid Flow in a Vertical Pipe
,”
J. Supercrit. Fluid
,
44
, pp.
164
171
.10.1016/j.supflu.2007.11.013
31.
Bae
,
Y.-Y.
,
Kim
,
H.-Y.
, and
Kang
,
D.-J.
,
2010
, “
Forced and Mixed Convection Heat Transfer to Supercritical CO2 Vertically Flowing in a Uniformly-Heated Circular Tube
,”
Exp. Therm. Fluid Sci.
,
34
, pp.
1295
1308
.10.1016/j.expthermflusci.2010.06.001
32.
Lemmon
,
E. W.
,
Peskin
,
A. P.
,
McLinden
,
M. O.
, and
Friend
,
D. G.
,
2003
, “
NIST 12: Thermodynamic and Transport Properties of Pure Fluids
,” NIST Standard Reference Database Number 12, Version 5.1, National Institute of Standards and Technology, Gaithersburg, MD.
33.
McEligot
,
D. M.
,
Coon
,
C. W.
, and
Perkins
,
H. C.
,
1970
, “
Relaminarization in Tubes
,”
Int. J. Heat Mass Transfer
,
13
, pp.
431
433
.10.1016/0017-9310(70)90118-3
You do not currently have access to this content.