Flow-pattern based heat transfer correlations for elongated bubbly flow and annular flow in stable flow boiling micro/minichannels were developed separately based on a collected micro/minichannel heat-transfer database by using an improved conventional-to-micro/minichannel threshold Bo = 4 and BoRel0.5 = 200, where Bo is the Bond number and Rel is the liquid Reynolds number. As significant disagreement in experimental trends and heat transfer mechanisms was reported for flow boiling in micro/minichannels in the literature, it is not possible to explain the discrepancy and predict all data points by a single correlation without considering the different flow patterns. The newly developed flow-pattern based predictive tool cannot only present a decent overall accuracy, but also estimate the parametric trends relatively well. Over 95% of the data points can be predicted by the proposed correlations within a ±50% error band for both elongated bubbly flow and annular flow. Therefore, the flow-pattern based correlations can be applied for heat exchanger design to improve the understanding of the underlying heat transfer mechanisms and to guide the development of further enhancement techniques for flow boiling in micro/minichannels.

References

References
1.
Kandlikar
,
S. G.
,
2012
, “
History, Advances, and Challenges in Liquid Flow and Flow Boiling Heat Transfer in Microchannels: A Critical Review
,”
ASME J. Heat Transfer
,
134
(
3
), p.
034001
.
2.
Kandlikar
,
S. G.
,
Colin
,
S.
,
Peles
,
Y.
,
Garimella
,
S.
,
Fabian Pease
,
R.
,
Brandner
,
J. J.
, and
Tuckerman
,
D. B.
,
2013
, “
Heat Transfer in Microchannels—2012 Status and Research Needs
,”
ASME J. Heat Transfer
,
135
(
9
), p.
091001
.
3.
Szczukiewicz
,
S.
,
Magnini
,
M.
, and
Thome
,
J. R.
,
2014
, “
Proposed Models, Ongoing Experiments, and Latest Numerical Simulations of Microchannel Two-Phase Flow Boiling
,”
Int. J. Multiphase Flow
,
59
, pp.
84
101
.
4.
Cheng
,
P.
,
Wu
,
H. Y.
, and
Hong
,
F. J.
,
2007
, “
Phase-Change Heat Transfer in Microsystems
,”
ASME J. Heat Transfer
,
129
(
2
), pp.
101
108
.
5.
Cheng
,
P.
,
Wang
,
G.
, and
Quan
,
X.
,
2009
, “
Recent Work on Boiling and Condensation in Microchannels
,”
ASME J. Heat Transfer
,
131
(
4
), p.
043211
.
6.
Wu
,
Z.
, and
Sundén
,
B.
,
2014
, “
On Further Enhancement of Single-Phase and Flow Boiling Heat Transfer in Micro/Minichannels
,”
Renewable Sustainable Energy Rev.
,
40
, pp.
11
27
.
7.
Sundén
,
B.
, and
Wu
,
Z.
,
2015
, “
Advanced Heat Exchangers for Clean and Sustainable Technology
,”
Handbook of Clean Energy Systems
,
J.
Yan
, ed.,
Wiley
,
Hoboken, NJ
.
8.
Di Marco
,
P.
,
2012
, “
Influence of Force Fields and Flow Patterns on Boiling Heat Transfer Performance: A Review
,”
ASME J. Heat Transfer
,
134
(
3
), p.
030801
.
9.
Ghiaasiaan
,
S. M.
,
2008
,
Two-Phase Flow, Boiling and Condensation in Conventional and Miniature Systems
,
Cambridge University Press
,
New York
.
10.
Yarin
,
L. P.
,
Mosyak
,
A.
, and
Hetsroni
,
G.
,
2009
,
Fluid Flow, Heat Transfer and Boiling in Micro-Channels
,
Springer-Verlag
,
Berlin
.
11.
Hetsroni
,
G.
,
Mosyak
,
A.
,
Segal
,
Z.
, and
Pogrebnyak
,
E.
,
2003
, “
Two-Phase Flow Patterns in Parallel Micro-Channels
,”
Int. J. Multiphase Flow
,
29
(
3
), pp.
341
360
.
12.
Xu
,
J. L.
,
Shen
,
S.
,
Gan
,
Y. H.
,
Li
,
Y. X.
,
Zhang
,
W.
, and
Su
,
Q. C.
,
2005
, “
Transient Flow Pattern Based Microscale Boiling Heat Transfer Mechanisms
,”
J. Micromech. Microeng.
,
15
(
6
), pp.
1344
1361
.
13.
Harirchian
,
T.
, and
Garimella
,
S. V.
,
2008
, “
Flow Patterns During Convective Boiling in Microchannels
,”
ASME J. Heat Transfer
,
130
(
8
), p.
080909
.
14.
Schilder
,
B.
,
Man
,
S. Y. C.
,
Kasagi
,
N.
,
Hardt
,
S.
, and
Stephan
,
P.
,
2010
, “
Flow Visualization and Local Measurement of Forced Convection Heat Transfer in a Microtube
,”
ASME J. Heat Transfer
,
132
(
3
), p.
031702
.
15.
Kew
,
P. A.
, and
Cornwell
,
K.
,
1994
, “
Confined Bubble Flow and Boiling in Narrow Spaces
,”
10th International Heat Transfer Conference
, Vol.
7
, pp.
473
478
.
16.
Revellin
,
R.
, and
Thome
,
J. R.
,
2007
, “
A New Type of Diabatic Flow Pattern Map for Boiling Heat Transfer in Microchannels
,”
J. Micromech. Microeng.
,
17
(
2
), pp.
788
796
.
17.
Wallis
,
G. B.
,
1969
,
One Dimensional Two Phase Flow
,
McGraw-Hill
,
New York
.
18.
Kew
,
P. A.
, and
Cornwell
,
K.
,
1997
, “
Correlations for the Prediction of Boiling Heat Transfer in Small Diameter Channels
,”
Appl. Therm. Eng.
,
17
(
8–10
), pp.
705
715
.
19.
Li
,
W.
, and
Wu
,
Z.
,
2010
, “
A General Criterion for Evaporative Heat Transfer in Micro/Mini-Channels
,”
Int. J. Heat Mass Transfer,
53
(
9–10
), pp.
1967
1976
.
20.
Wu
,
Z.
, and
Sundén
,
B.
,
2016
, “
Heat Transfer Correlations for Elongated Bubbly Flow in Flow Boiling Micro/Minichannels
,”
Heat Transfer Eng.
(in press).
21.
Li
,
W.
, and
Wu
,
Z.
,
2010
, “
A General Correlation for Adiabatic Two-Phase Pressure Drop in Micro/Mini-Channels
,”
Int. J. Heat Mass Transfer
,
53
(
13
), pp.
2732
2739
.
22.
Wu
,
Z.
, and
Li
,
W.
,
2011
, “
A New Predictive Tool for Saturated Critical Heat Flux in Micro/Mini-Channels: Effect of the Heated Length-to-Diameter Ratio
,”
Int. J. Heat Mass Transfer
,
54
(
13
), pp.
2880
2889
.
23.
Harirchian
,
T.
, and
Garimella
,
S. V.
,
2010
, “
A Comprehensive Flow Regime Map for Microchannel Flow Boiling With Quantitative Transition Criteria
,”
Int. J. Heat Mass Transfer
,
53
(
13
), pp.
2694
2702
.
24.
Ong
,
C. L.
, and
Thome
,
J. R.
,
2011
, “
Macro-to-Microchannel Transition in Two-Phase Flow: Part 1—Two-Phase Flow Patterns and Film Thickness Measurements
,”
Exp. Therm. Fluid Sci.
,
35
(
1
), pp.
37
47
.
25.
Karayiannis
,
T. G.
,
Shiferaw
,
D.
,
Kenning
,
D. B. R.
, and
Wadekar
,
V. V.
,
2010
, “
Flow Patterns and Heat Transfer for Flow Boiling in Small to Micro Diameter Tubes
,”
Heat Transfer Eng.
,
31
(
4
), pp.
257
275
.
26.
Wadekar
,
V. V.
,
2002
, “
Compact Heat Exchangers for Phase Change
,”
Int. J. Heat Exchangers
,
3
, pp.
169
120
.
27.
Wu
,
Z.
,
Sundén
,
B.
,
Li
,
W.
, and
Wadekar
,
V. V.
,
2013
, “
Evaporative Annular Flow in Micro/Minichannels: A Simple Heat Transfer Model
,”
ASME J. Therm. Sci. Eng. Appl.
,
5
(
3
), p.
031009
.
28.
Thome
,
J. R.
,
Dupont
,
V.
, and
Jacobi
,
A. M.
,
2004
, “
Heat Transfer Model for Evaporation in Microchannels. Part I: Presentation of the Model
,”
Int. J. Heat Mass Transfer,
47
(
14–16
), pp.
3375
3385
.
29.
Kuo
,
C. J.
, and
Peles
,
Y.
,
2008
, “
Flow Boiling Instabilities in Microchannels and Means for Mitigation by Reentrant Cavities
,”
ASME J. Heat Transfer
,
130
(
7
), p.
072402
.
30.
Muwanga
,
R.
,
Hassan
,
I.
, and
MacDonald
,
R.
,
2007
, “
Characteristics of Flow Boiling Oscillations in Silicon Microchannel Heat Sinks
,”
ASME J. Heat Transfer
,
129
(
10
), pp.
1341
1351
.
31.
Odom
,
B. A.
,
Miner
,
M. J.
,
Ortiz
,
C. A.
,
Sherbeck
,
J. A.
,
Prasher
,
R. S.
, and
Phelan
,
P. E.
,
2012
, “
Microchannel Two-Phase Flow Oscillation Control With an Adjustable Inlet Orifice
,”
ASME J. Heat Transfer
,
134
(
12
), p.
122901
.
32.
Bao
,
Z. Y.
,
Fletcher
,
D. F.
, and
Haynes
,
B. S.
,
2000
, “
Flow Boiling Heat Transfer of Freon R11 and HCFC123 in Narrow Passages
,”
Int. J. Heat Mass Transfer
,
43
(
18
), pp.
3347
3358
.
33.
Lin
,
S.
,
Kew
,
P. A.
, and
Cornwell
,
K.
,
2001
, “
Two-Phase Heat Transfer to a Refrigerant in a 1 mm Diameter Tube
,”
Int. J. Refrig.
,
24
(
1
), pp.
51
56
.
34.
Sumith
,
B.
,
Kaminaga
,
F.
, and
Matsumura
,
K.
,
2003
, “
Saturated Flow Boiling of Water in a Vertical Small Diameter Tube
,”
Exp. Therm. Fluid Sci.
,
27
(
7
), pp.
789
801
.
35.
Yen
,
T. H.
,
Kasagi
,
N.
, and
Suzuki
,
Y.
,
2003
, “
Forced Convective Boiling Heat Transfer in Microtubes at Low Mass and Heat Fluxes
,”
Int. J. Multiphase Flow
,
29
(
12
), pp.
1771
1792
.
36.
Huo
,
X.
,
Chen
,
L.
,
Tian
,
Y. S.
, and
Karayiannis
,
T. G.
,
2004
, “
Flow Boiling and Flow Regimes in Small Diameter Tubes
,”
Appl. Therm. Eng.
,
24
, pp.
1225
1239
.
37.
Wen
,
D. S.
,
Yan
,
Y.
, and
Kenning
,
D. B. R.
,
2004
, “
Saturated Flow Boiling of Water in a Narrow Channel: Time-Averaged Heat Transfer Coefficients and Correlations
,”
Appl. Therm. Eng.
,
24
(
8–9
), pp.
1207
1223
.
38.
Saitoh
,
S.
,
Daiguji
,
H.
, and
Hihara
,
E.
,
2005
, “
Effect of Tube Diameter on Boiling Heat Transfer of R-134a in Horizontal Small-Diameter Tubes
,”
Int. J. Heat Mass Transfer,
48
(
23–24
), pp.
4973
4984
.
39.
Huh
,
C.
, and
Kim
,
M. H.
,
2007
, “
Pressure Drop, Boiling Heat Transfer and Flow Patterns During Flow Boiling in a Single Microchannel
,”
Heat Transfer Eng.,
28
(
8–9
), pp.
730
737
.
40.
Choi
,
K. I.
,
Pamitran
,
A. S.
, and
Oh
,
J. T.
,
2007
, “
Two-Phase Flow Heat Transfer of CO2 Vaporization in Smooth Horizontal Minichannels
,”
Int. J. Refrig.
,
30
(
5
), pp.
767
777
.
41.
Consolini
,
L.
, and
Thome
,
J. R.
,
2009
, “
Micro-Channel Flow Boiling Heat Transfer of R-134a, R-236fa, and R-245fa
,”
Microfluid. Nanofluid.
,
6
(
6
), pp.
731
746
.
42.
In
,
S.
, and
Jeong
,
S.
,
2009
, “
Flow Boiling Heat Transfer Characteristics of R123 and R134a in a Micro-Channel
,”
Int. J. Multiphase Flow
,
35
(
11
), pp.
987
1000
.
43.
Ong
,
C. L.
, and
Thome
,
J. R.
,
2009
, “
Flow Boiling Heat Transfer of R134a, R236fa and R245fa in a Horizontal 1.03 mm Circular Channel
,”
Exp. Therm. Fluid Sci.
,
33
(
4
), pp.
651
663
.
44.
Pamitran
,
A. S.
,
Choi
,
K.
,
Oh
,
J. T.
, and
Park
,
K. W.
,
2009
, “
Two-Phase Flow Heat Transfer of Propane Vaporization in Horizontal Minichannels
,”
J. Mech. Sci. Technol.
,
23
(
3
), pp.
599
606
.
45.
Shiferaw
,
D.
,
Karayiannis
,
T. G.
, and
Kenning
,
D. B. R.
,
2009
, “
Flow Boiling in a 1.1 mm Tube With R134a: Experimental Results and Comparison With Model
,”
Int. J. Therm. Sci.
,
48
(
2
), pp.
331
341
.
46.
Saisorn
,
S.
,
Kaew-On
,
J.
, and
Wongwises
,
S.
,
2010
, “
Flow Pattern and Heat Transfer Characteristics of R-134a Refrigerant During Flow Boiling in a Horizontal Circular Mini-Channel
,”
Int. J. Heat Mass Transfer
,
53
(
19–20
), pp.
4023
4038
.
47.
Tibirica
,
C. B.
, and
Ribatski
,
G.
,
2010
, “
Flow Boiling Heat Transfer of R134a and R245fa in a 2.3 mm Tube
,”
Int. J. Heat Mass Transfer,
53
(
11–12
), pp.
2459
2468
.
48.
Ali
,
R.
,
Palm
,
B.
, and
Maqbool
,
M. H.
,
2011
, “
Flow Boiling Heat Transfer Characteristics of a Minichannel up to Dryout Condition
,”
ASME J. Heat Transfer
,
133
(
8
), p.
081501
.
49.
Copetti
,
J. B.
,
Macagnan
,
M. H.
,
Zinani
,
F.
, and
Kunsler
,
N. L. F.
,
2011
, “
Flow Boiling Heat Transfer and Pressure Drop of R-134a in a Mini Tube: An Experimental Investigation
,”
Exp. Therm. Fluid Sci.
,
35
(
4
), pp.
636
644
.
50.
Ducoulombier
,
M.
,
Colasson
,
S.
,
Bonjour
,
J.
, and
Haberschill
,
P.
,
2011
, “
Carbon Dioxide Flow Boiling in a Single Microchannel—Part II: Heat Transfer
,”
Exp. Therm. Fluid Sci.
,
35
(
4
), pp.
597
611
.
51.
Oh
,
J. T.
,
Pamitran
,
A. S.
,
Choi
,
K.
, and
Hrnjak
,
P.
,
2011
, “
Experimental Investigation on Two-Phase Flow Boiling Heat Transfer of Five Refrigerants in Horizontal Small Tubes of 0.5, 1.5 and 3.0 mm Inner Diameters
,”
Int. J. Heat Mass Transfer
,
54
(
9–10
), pp.
2080
2088
.
52.
Ozawa
,
M.
,
Ami
,
T.
,
Umekawa
,
H.
,
Matsumoto
,
R.
, and
Hara
,
T.
,
2011
, “
Forced Flow Boiling of Carbon Dioxide in Horizontal Mini-Channel
,”
Int. J. Therm. Sci.
,
50
(
3
), pp.
296
308
.
53.
Saitoh
,
S.
,
Dang
,
C.
,
Nakamura
,
Y.
, and
Hihara
,
E.
,
2011
, “
Boiling Heat Transfer of HFO-1234yf Flowing in a Smooth Small-Diameter Horizontal Tube
,”
Int. J. Refrig.
,
34
(
8
), pp.
1846
1853
.
54.
Wu
,
J.
,
Koettig
,
T.
,
Franke
,
C.
,
Eisel
,
T.
,
Haug
,
F.
, and
Bremer
,
J.
,
2011
, “
Investigation of Heat Transfer and Pressure Drop of CO2 Two-Phase FOW in a Horizontal Minichannel
,”
Int. J. Heat Mass Transfer
,
54
(
9–10
), pp.
2154
2162
.
55.
Maqbool
,
M. H.
,
Palm
,
B.
, and
Khodabandeh
,
R.
,
2012
, “
Boiling Heat Transfer of Ammonia in Vertical Smooth Minichannels: Experimental Results and Predictions
,”
Int. J. Therm. Sci.
,
54
, pp.
13
21
.
56.
Tibirica
,
C. B.
,
Ribatski
,
G.
, and
Thome
,
J. R.
,
2012
, “
Flow Boiling Characteristics for R1234ze (E) in 1.0 and 2.2 mm Circular Channels
,”
ASME J. Heat Transfer
,
134
(
2
), p.
020906
.
57.
Copetti
,
J. B.
,
Macagnan
,
M. H.
, and
Zinani
,
F.
,
2013
, “
Experimental Study on R-600a Boiling in 2.6 mm Tube
,”
Int. J. Refrig.
,
36
(
2
), pp.
325
334
.
58.
Maqbool
,
M. H.
,
Palm
,
B.
, and
Khodabandeh
,
R.
,
2013
, “
Investigation of Two Phase Heat Transfer and Pressure Drop of Propane in a Vertical Circular Minichannel
,”
Exp. Therm. Fluid Sci.
,
46
, pp.
120
130
.
59.
Del Col
,
D.
,
Bortolin
,
S.
,
Torresin
,
D.
, and
Cavallini
,
A.
,
2013
, “
Flow Boiling of R1234yf in a 1 mm Diameter Channel
,”
Int. J. Refrig.
,
36
(
2
), pp.
353
362
.
60.
Pike-Wilson
,
E. A.
, and
Karayiannis
,
T. G.
,
2014
, “
Flow Boiling of R245fa in 1.1 mm Diameter Stainless Steel, Brass and Copper Tubes
,”
Exp. Therm. Fluid Sci.
,
59
, pp.
166
183
.
61.
Lee
,
H. J.
,
Liu
,
D. Y.
, and
Yao
,
S. C.
,
2010
, “
Flow Instability of Evaporative Micro-Channels
,”
Int. J. Heat Mass Transfer
,
53
(
9–10
), pp.
1740
1749
.
62.
Dupont
,
V.
,
Thome
,
J. R.
, and
Jacobi
,
A. M.
,
2004
, “
Heat Transfer Model for Evaporation in Microchannels. Part II: Comparison With the Database
,”
Int. J. Heat Mass Transfer
,
47
(
14
), pp.
3387
3401
.
63.
Revellin
,
R.
,
Dupont
,
V.
,
Ursenbacher
,
T.
,
Thome
,
J. R.
, and
Zun
,
I.
,
2006
, “
Characterization of Diabatic Two-Phase Flows in Microchannels: Flow Parameter Results for R-134a in a 0.5 mm Channel
,”
Int. J. Multiphase Flow
,
32
(
7
), pp.
755
774
.
64.
Consolini
,
L.
, and
Thome
,
J. R.
,
2010
, “
A Heat Transfer Model for Evaporation of Coalescing Bubbles in Micro-Channel Flow
,”
Int. J. Heat Fluid Flow
,
31
(
1
), pp.
115
125
.
65.
Han
,
Y.
, and
Shikazono
,
N.
,
2009
, “
Measurement of the Liquid Film Thickness in Micro Tube Slug Flow
,”
Int. J. Heat Fluid Flow
,
30
(
5
), pp.
842
853
.
66.
Aussillous
,
P.
, and
Quéré
,
D.
,
2000
, “
Quick Deposition of a Fluid on the Wall of a Tube
,”
Phys. Fluids
,
12
(
10
), pp.
2367
2371
.
67.
Rouhani
,
S. Z.
,
1969
, “
AB Atomenergi
,” Internal Report No. AE-RTV 841.
68.
Thome
,
J. R.
,
2004
,
Engineering Data Book III
,
Wolverine Tube
,
Decatur, AL
.
69.
Revellin
,
R.
,
Haberschill
,
P.
,
Bonjour
,
J.
, and
Thome
,
J. R.
,
2008
, “
Conditions of Liquid Film Dryout During Saturated Flow Boiling in Microchannels
,”
Chem. Eng. Sci.
,
63
(
24
), pp.
5795
5801
.
70.
Lazarek
,
G. M.
, and
Black
,
S. H.
,
1982
, “
Evaporative Heat Transfer, Pressure Drop and Critical Heat Flux in a Small Vertical Tube With R-113
,”
Int. J. Heat Mass Transfer
,
25
(
7
), pp.
945
960
.
71.
Li
,
W.
, and
Wu
,
Z.
,
2010
, “
A General Correlation for Evaporative Heat Transfer in Micro/Mini-Channels
,”
Int. J. Heat Mass Transfer,
53
(
9–10
), pp.
1778
1787
.
72.
Mahmoud
,
M. M.
, and
Karayiannis
,
T. G.
,
2013
, “
Heat Transfer Correlation for Flow Boiling in Small to Micro Tubes
,”
Int. J. Heat Mass Transfer
,
66
, pp.
553
574
.
73.
Basu
,
S.
,
Ndao
,
S.
,
Michna
,
G. J.
,
Peles
,
Y.
, and
Jensen
,
M. K.
,
2011
, “
Flow Boiling of R134a in Circular Microtubes—Part I: Study of Heat Transfer Characteristics
,”
ASME J. Heat Transfer
,
133
(
5
), p.
051502
.
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