Abstract
Subcooled flow boiling is widely used as a mode of heat transfer in many industries, especially in nuclear reactors. Despite its advantages, the heat transfer is hampered beyond a certain flux due to a phenomenon known as departure from nucleate boiling (DNB). It is important to determine the void fraction profiles, especially the near-wall void fractions, to evaluate the limiting heat flux conditions. The two-fluid Eulerian model, coupled with the heat flux partitioning model, is widely used to predict subcooled flow boiling characteristics. Over the years, many researchers have not considered lift and wall lubrication forces in their modeling of subcooled flow boiling. Few researchers have considered the Tomiyama model for lift force; however, their results were not encouraging. Moreover, there is no systematic study in evaluating the impact of lift and wall lubrication forces on subcooled flow boiling. In this paper, various lift and wall lubrication models are compared to understand the implications of these forces on void distribution. The advantages and limitations of the models are discussed in detail.
Issue Section:
Special Papers
References
1.
Krepper
,
E.
, and
Rzehak
,
R.
, 2011
, “
CFD for Subcooled Flow Boiling: Simulation of DEBORA Experiments
,” Nucl. Eng. Des.
,
241
(9
), pp. 3851
–3866
.10.1016/j.nucengdes.2011.07.0032.
Rzehak
,
R.
, and
Krepper
,
E.
, 2013
, “
CFD for Subcooled Flow Boiling: Parametric Variations
,” Sci. Technol. Nucl. Install.
,
2013
, pp. 1
–22
.10.1155/2013/6874943.
Colombo
,
M.
, and
Fairweather
,
M.
, 2016
, “
Accuracy of Eulerian–Eulerian, Two-Fluid CFD Boiling Models of Subcooled Boiling Flows
,” Int. J. Heat Mass Transfer
,
103
, pp. 28
–44
.10.1016/j.ijheatmasstransfer.2016.06.0984.
Murallidharan
,
J. S.
,
Prasad
,
B. V. S. S. S.
,
Patnaik
,
B. S. V.
,
Hewitt
,
G. F.
, and
Badalassi
,
V.
, 2016
, “
CFD Investigation and Assessment of Wall Heat Flux Partitioning Model for the Prediction of High Pressure Subcooled Flow Boiling
,” Int. J. Heat Mass Transfer
,
103
, pp. 211
–230
.10.1016/j.ijheatmasstransfer.2016.06.0505.
Colombo
,
M.
, and
Fairweather
,
M.
, 2015
, “
Prediction of Bubble Departure in Forced Convection Boiling: A Mechanistic Model
,” Int. J. Heat Mass Transfer
,
85
, pp. 135
–146
.10.1016/j.ijheatmasstransfer.2015.01.1036.
Yeoh, G. H., and Tu, J. Y., 2006, “
Two-Fluid and Population Balance Models for Subcooled Boiling Flow
,” Appl. Math. Model.
,
30
(11
), pp. 1370
–1391
.10.1016/j.apm.2006.03.0107.
Krepper
,
E.
,
Rzehak
,
R.
,
Lifante
,
C.
, and
Frank
,
T.
, 2013
, “
CFD for Subcooled Flow Boiling: Coupling Wall Boiling and Population Balance Models
,” Nucl. Eng. Des.
,
255
, pp. 330
–346
.10.1016/j.nucengdes.2012.11.0108.
Li
,
H.
,
Vasquez
,
S. A.
,
Punekar
,
H.
, and
Muralikrishnan
,
R.
, 2011
, “
Prediction of Boiling and Critical Heat Flux Using an Eulerian Multiphase Boiling Model
,” ASME Paper No. IMECE2011-65539
.10.1115/IMECE2011-655399.
Yun
,
B. J.
,
Splawski
,
A.
,
Lo
,
S.
, and
Song
,
C. H.
, 2012
, “
Prediction of a Subcooled Boiling Flow With Advanced Two-Phase Flow Models
,” Nucl. Eng. Des.
,
253
, pp. 351
–359
.10.1016/j.nucengdes.2011.08.06710.
Drew
,
D. A.
, 1992
, “
Analytical Modeling of Multiphase Flows
,” Boiling Heat Transfer: Modern Developments and Advances
,
R.T.
Lahey
, ed.,
Elsevier
, Amsterdam, The Netherlands
, pp. 31
–84
.11.
Kurul
,
N.
, and
Podowski
,
M. Z.
, 1990
, “
Multidimensional Effects in Forced Convection Subcooled Boiling
,” Proceedings of the Ninth International Heat Transfer Conference
, Vol.
2
, Jerusalem, Israel
, Aug. 19–24, pp. 21
–26
.12.
Tolubinsky
,
V. I.
, and
Kostanchuk
,
D. M.
, 1970
, “
Vapour Bubbles Growth Rate and Heat Transfer Intensity at Subcooled Water Boiling
,” Proceedings of Fourth International Heat Transfer Conference
, Vol.
5
, Paris, France
, Aug. 31–Sept. 5, Paper No. B-2.8, pp. 1
–11
.13.
Cole
,
R.
, 1960
, “
A Photographic Study of Pool Boiling in the Region of the Critical Heat Flux
,” AIChE J.
,
6
(4
), pp. 533
–538
.10.1002/aic.69006040514.
Lemmert
,
M.
, and
Chawla
,
J.
, 1977
, “
Influence of Flow Velocity on Surface Boiling Heat Transfer Coefficient
,” Heat Transfer and Boiling
,
E.
Hahne
and
U.
Grigull
, eds.,
Academic Press and Hemisphere
,
New York
, pp. 237
–247
.15.
Ishii
,
M.
, and
Zuber
,
N.
, 1979
, “
Drag Coefficient and Relative Velocity in Bubbly, Droplet or Particulate Flows
,” AIChE J.
,
25
(5
), pp. 843
–855
.10.1002/aic.69025051316.
Lopez de Bertodano
,
M.
,
Lahey
,
R. T.
, and
Jones
,
O. C.
, 1994
, “
Turbulent Bubbly Two-Phase Flow Data in a Triangular Duct
,” Nucl. Eng. Des.
,
146
(1–3
), pp. 43
–52
.10.1016/0029-5493(94)90319-017.
Burns
,
A. D.
,
Frank
,
T.
,
Hamill
,
I.
, and
Shi
,
J.-M. M.
, 2004
, “
The Favre Averaged Drag Model for Turbulent Dispersion in Eulerian Multi-Phase Flows
,” Proceedings of the Fifth International Conference on Multiphase Flow (ICMF-2004)
, Yokohama, Japan
, May 30–June 4, Paper No. 392.https://www.researchgate.net/publication/261761053_The_Favre_Averaged_Drag_Model_for_Turbulent_Dispersion_in_Eulerian_Multi-Phase_Flows18.
Drew
,
D. A.
, and
Lahey
,
R. T.
, 1987
, “
The Virtual Mass and Lift Force on a Sphere in Rotating and Straining Inviscid Flow
,” Int. J. Multiphase Flow
,
13
(1
), pp. 113
–121
.10.1016/0301-9322(87)90011-519.
Moraga
,
F. J.
,
Bonetto
,
F. J.
, and
Lahey
,
R. T.
, 1999
, “
Lateral Forces on Spheres in Turbulent Uniform Shear Flow
,” Int. J. Multiphase Flow
,
25
(6–7
), pp. 1321
–1372
.10.1016/S0301-9322(99)00045-220.
Klausner
,
J. F.
,
Mei
,
R.
,
Bernhard
,
D. M.
, and
Zeng
,
L. Z.
, 1993
, “
Vapor Bubble Departure in Forced Convection Boiling
,” Int. J. Heat Mass Transfer
,
36
(3
), pp. 651
–662
.10.1016/0017-9310(93)80041-R21.
Saffman
,
P. G.
, 1965
, “
The Lift on a Small Sphere in a Slow Shear Flow
,” J. Fluid Mech.
,
22
(2
), pp. 385
–400
.10.1017/S002211206500082422.
Legendre
,
D.
, and
Magnaudet
,
J.
, 1998
, “
The Lift Force on a Spherical Bubble in a Viscous Linear Shear Flow
,” J. Fluid Mech.
,
368
, pp. 81
–126
.10.1017/S002211209800162123.
Tomiyama
,
A.
,
Tamai
,
H.
,
Zun
,
I.
, and
Hosokawa
,
S.
, 2002
, “
Transverse Migration of Single Bubbles in Simple Shear Flows
,” Chem. Eng. Sci.
,
57
(11
), pp. 1849
–1858
.10.1016/S0009-2509(02)00085-424.
Antal
,
S. P.
,
Lahey
,
R. T.
, and
Flaherty
,
J. E.
, 1991
, “
Analysis of Phase Distribution in Fully Developed Laminar Bubbly Two-Phase Flow
,” Int. J. Multiphase Flow
,
17
(5
), pp. 635
–652
.25.
Frank
,
T.
,
Shi
,
J. M.
, and
Burns
,
A. D.
, 2004
, “
Validation of Eulerian Multiphase Flow Models for Nuclear Safety Application
,” Proceedings of the Third International Symposium on Two-Phase Flow Modelling and Experimentation
, Pisa, Italy
, Sept. 22–24, p. 9
.26.
Tomiyama
,
A.
, 1998
, “
Struggle With Computational Bubble Dynamics
,” Multiphase Sci. Technol.
,
10
(4
), pp. 369
–405
.27.
Hosokawa
,
S.
,
Tomiyama
,
A.
,
Misaki
,
S.
, and
Hamada
,
T.
, 2002
, “
Lateral Migration of Single Bubbles Due to the Presence of Wall
,” ASME Paper No. FEDSM2002-31148
.10.1115/FEDSM2002-3114828.
Takemura
,
F.
,
Takagi
,
S.
,
Magnaudet
,
J.
, and
Matsumoto
,
Y.
, 2002
, “
Drag and Lift Forces on a Bubble Rising Near a Vertical Wall in a Viscous Liquid
,” J. Fluid Mech.
,
461
, pp. 277
–300
.10.1017/S002211200200838829.
Hassan
,
Y. A.
,
Estrada-Perez
,
C. E.
, and
Yoo
,
J. S.
, 2014
, “
Measurement of Subcooled Flow Boiling Using Particle Tracking Velocimetry and Infrared Thermographic Technique
,” Nucl. Eng. Des.
,
268
, pp. 185
–190
.10.1016/j.nucengdes.2013.04.04430.
Vaidheeswaran
,
A.
,
Prabhudharwadkar
,
D.
,
Guilbert
,
P.
,
Buchanan
,
J. R.
, and
de Bertodano
,
M. L.
, 2016
, “
New Two-Fluid Model Near-Wall Averaging and Consistent Matching for Turbulent Bubbly Flows
,” ASME J. Fluids Eng.
,
139
(1
), p. 011302
.10.1115/1.403432731.
Lubchenko
,
N.
,
Magolan
,
B.
,
Sugrue
,
R.
, and
Baglietto
,
E.
, 2018
, “
A More Fundamental Wall Lubrication Force From Turbulent Dispersion Regularization for Multiphase CFD Applications
,” Int. J. Multiphase Flow
,
98
, pp. 36
–44
.10.1016/j.ijmultiphaseflow.2017.09.00332.
Zhang
,
R.
,
Cong
,
T.
,
Tian
,
W.
,
Qiu
,
S.
, and
Su
,
G.
, 2015
, “
Effects of Turbulence Models on Forced Convection Subcooled Boiling in Vertical Pipe
,” Ann. Nucl. Energy
,
80
, pp. 293
–302
.10.1016/j.anucene.2015.01.03933.
Rzehak
,
R.
, and
Krepper
,
E.
, 2013
, “
CFD Modeling of Bubble-Induced Turbulence
,” Int. J. Multiphase Flow
,
55
, pp. 138
–155
.10.1016/j.ijmultiphaseflow.2013.04.00734.
Mali
,
C. R.
,
Vinod
,
V.
, and
Patwardhan
,
A. W.
, 2017
, “
Comparison of Phase Interaction Models for High Pressure Subcooled Boiling Flow in Long Vertical Tubes
,” Nucl. Eng. Des.
,
324
, pp. 337
–359
.10.1016/j.nucengdes.2017.09.01035.
Sato
,
Y.
,
Sadatomi
,
M.
, and
Sekoguchi
,
K.
, 1981
, “
Momentum and Heat Transfer in Two-Phase Bubble Flow—I: Theory
,” Int. J. Multiphase Flow
,
7
(2
), pp. 167
–177
.10.1016/0301-9322(81)90003-336.
Garnier
,
J.
,
Manon
,
E.
, and
Cubizolles
,
G.
, 2001
, “
Local Measurements on Flow Boiling of Refrigerant 12 in a Vertical Tube
,” Multiphase Sci. Technol.
,
13
(1–2
), p. 111
.10.1615/MultScienTechn.v13.i1-2.1037.
Roy
,
R. P.
,
Kang
,
S.
,
Zarate
,
J. A.
, and
Laporta
,
A.
, 2002
, “
Turbulent Subcooled Boiling Flow—Experiments and Simulations
,” ASME J. Heat Transfer
,
124
(1
), pp. 73
–93
.10.1115/1.141869838.
Bartolomei
,
G. G.
, and
Chanturiya
,
V. M.
, 1967
, “
Experimental Study of True Void Fraction When Boiling Subcooled Water in Vertical Tubes
,” Therm. Eng.
,
14
(2
), pp. 123
–128
.39.
Kumar
,
M.
,
Moharana
,
A.
,
Nayak
,
A. K.
, and
Joshi
,
J. B.
, 2018
, “
CFD Simulation of Boiling Flows Inside Fuel Rod Bundle of a Natural Circulation BWR During SBO
,” Nucl. Eng. Des.
,
338
, pp. 300
–329
.10.1016/j.nucengdes.2018.08.01140.
Anglart
,
H.
,
Nylund
,
O.
,
Kurul
,
N.
, and
Podowski
,
M. Z.
, 1997
, “
CFD Prediction of Flow and Phase Distribution in Fuel Assemblies With Spacers
,” Nucl. Eng. Des.
,
177
(1–3
), pp. 215
–228
.41.
Ranz
,
W. E.
, and
Marshall
,
W. R.
, 1952
, “
Evaporation From Drops 1
,” Chem. Eng. Prog.
,
48
(3
), pp. 141
–146
.Copyright © 2020 by ASME
You do not currently have access to this content.
