Two-phase bubbly flows by gas injection had been shown to enhance convective heat transfer in channel flows as compared with that of single-phase flows. The present work explores the effect of gas phase distribution such as inlet air volume fraction and bubble size on the convective heat transfer in upward vertical channel flows numerically. A two-dimensional (2D) channel flow of 10 cm wide × 100 cm high at 0.2 and 1.0 m/s inlet water and air superficial velocities in churn-turbulent flow regime, respectively, is simulated. Numerical simulations are performed using the commercial computational fluid dynamics (CFD) code ANSYS fluent. The bubble size is characterized by the Eötvös number. The inlet air volume fraction is fixed at 10%, whereas the Eötvös number is maintained at 1.0 to perform parametric studies, respectively, in order to investigate the effect of gas phase distribution on average Nusselt number of the two-phase flows. All simulations are compared with a single-phase flow condition. To enhance heat transfer, it is determined that the optimum Eötvös number for the channel with a 10% inlet air volume fraction has an Eötvös number of 0.2, which is equivalent to a bubble diameter of 1.219 mm. Likewise, it is determined that the optimum volume fraction peaks at 30% inlet air volume fraction using an Eötvös number of 1.0.

References

1.
Howard
,
J. A.
,
Walsh
,
P. A.
, and
Walsh
,
E. J.
,
2011
, “
Prandtl and Capillary Effects on Heat Transfer Performance Within Laminar Liquid-Gas Slug Flows
,”
Int. J. Heat Mass Transfer
,
54
(
21–22
), pp.
4752
4761
.
2.
Betz
,
A. R.
, and
Attinger
,
D.
,
2010
, “
Bubble Injection to Enhance Heat Transfer in Microchannel Heat Sinks
,”
ASME
Paper No. IMECE2009-11972.
3.
Ma
,
F.
, and
Shen
,
Z. Q.
,
2004
, “
Convective Heat Transfer Enhancement by Inert Gas Injection
,”
J. Dalian Univ. Technol.
,
44
(
4
), pp.
490
494
.
4.
Tokuhiro
,
A. T.
, and
Lykoudis
,
P. S.
,
1994
, “
Natural Convection Heat Transfer From a Vertical Plate-I. Enhancement With Gas Injection
,”
Int. J. Heat Mass Transfer
,
37
(
6
), pp.
997
1003
.
5.
Choo
,
K.
, and
Kim
,
S. J.
,
2011
, “
Heat Transfer and Fluid Flow Characteristics of Nonboiling Two-Phase Flow in Microchannels
,”
ASME J. Heat Transfer
,
133
(10), p. 102901.
6.
Kitagawa
,
A.
,
Kosuge
,
K.
,
Uchida
,
K.
, and
Hagiwara
,
Y.
,
2008
, “
Heat Transfer Enhancement for Laminar Natural Convection Along a Vertical Plate Due to Sub-Millimeter-Bubble Injection
,”
Exp. Fluids
,
45
(
3
), pp.
473
484
.
7.
Panahi
,
D.
,
2017
, “
Evaluation of Nusselt Number and Effectiveness for a Vertical Shell-Coiled Tube Heat Exchanger With Air Bubble Injection Into Shell Side
,”
Exp. Heat Transfer
,
30
(
3
), pp.
179
191
.
8.
Moosavi
,
A.
,
Abbasalizadeh
,
M.
, and
Sadighi
,
D. H.
,
2016
, “
Optimization of Heat Transfer and Pressure Drop Characteristics Via Air Bubble Injection Inside a Shell and Coiled Tube Heat Exchanger
,”
Exp. Therm. Fluid Sci.
,
78
, pp.
1
9
.
9.
Nandan
,
A.
, and
Sinh
,
G.
,
2016
, “
Experimental Study of Heat Transfer Rate in a Shell and Tube Heat Exchanger With Air Bubble Injection
,”
Int. J. Eng., Trans. B
,
29
(
8
), pp.
1160
1166
.http://www.ije.ir/abstract/%7BVolume:29-Transactions:B-Number:8%7D/=2309
10.
Li
,
W. Z.
,
Zhao
,
D. Y.
, and
Chen
,
G. J.
,
2006
, “
Numerical Simulation on Effects of Vertical Channel Wide on Deformation and Heat Transfer of a Rising Gas Bubble
,”
Chin. J. Comput. Mech.
,
23
(
2
), pp.
196
201
.
11.
Dabiri
,
S.
, and
Tryggvason
,
G.
,
2015
, “
Heat Transfer in Turbulent Bubbly Flow in Vertical Channels
,”
Chem. Eng. Sci.
,
122
(
27
), pp.
106
113
.
12.
Willard
,
J. R.
, and
Hollingsworth
,
D. K.
,
2016
, “
Numerical Investigation of Flow Structure and Heat Transfer Produced by a Single Highly Confined Bubble in a Pressure-Driven Channel Flow
,”
ASME
Paper No. HT2016-1060.
13.
Picardi
,
R.
,
Zhao
,
L.
, and
Battaglia
,
F.
,
2016
, “
On the Ideal Grid Resolution for Two-Dimensional Eulerian Modeling of Gas-Liquid Flows
,”
ASME J. Fluids Eng.
,
138
(11), p. 114503.
14.
Law
,
D.
,
Battaglia
,
F.
, and
Heindel
,
T. J.
,
2008
, “
Model Validation for Low and High Superficial Gas Velocity Bubble Column Flows
,”
Chem. Eng. Sci.
,
63
(
18
), pp.
4605
4616
.
15.
Law
,
D.
,
Jones
,
S. T.
,
Heindel
,
T. J.
, and
Battaglia
,
F.
,
2011
, “
A Combined Numerical and Experimental Study of Hydrodynamics for an Air-Water External Loop Airlift Reactor
,”
ASME J. Fluids Eng.
,
133
(
2
), p. 021301.
16.
Simonin
,
Q.
, and
Viollet
,
P. L.
,
1990
, “
Prediction of an Oxygen Droplet Pulverization in a Compressible Subsonic Coflowing Hydrogen Flow
,” Numerical Methods for Multiphase Flow, ASME, New York, pp. 73–82.
17.
Leonard
,
B. P.
,
1979
, “
A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation
,”
Comput. Methods Appl. Mech. Eng.
,
19
(
1
), pp.
59
98
.
18.
Kulkarni
,
A. V.
, and
Joshi
,
J. B.
,
2006
, “
Estimation of Hydrodynamic and Heat Transfer Characteristics of Bubble Column by Analysis of Wall Pressure Measurements and CFD Simulations
,”
Chem. Eng. Res. Des.
,
84
(
A7
), pp.
601
609
.
19.
Miyahara
,
T.
,
Matsuba
,
Y.
, and
Takahashi
,
T.
,
1983
, “
The Size of Bubbles Generated From Perforated Plates
,”
Int. Chem. Eng.
,
23
(1), pp.
517
523
.https://www.jstage.jst.go.jp/article/kakoronbunshu1975/8/1/8_1_13/_article
20.
Shah
,
Y. T.
, and
Deckwer
,
W. D.
,
1985
, “
Fluid-Fluid Reactors
,”
Scale-Up of Chemical Processes: Conversion From Lab-Scale Tests to Successful Commercial-Size Design
, Wiley, Hoboken, NJ, pp.
201
274
.
21.
Celik
,
I. B.
,
Ghia
,
U.
,
Roache
,
P. J.
,
Freitas
,
C. J.
,
Coleman
,
H.
, and
Raad
,
P. E.
,
2008
, “
Procedure for Estimation and Reporting of Uncertainty Due to Discretization in CFD Applications
,”
ASME J. Fluids Eng.
,
130
(
7
), p.
078001
.
22.
Nouri
,
N. M.
,
Motlagh
,
S. Y.
,
Navidbakhsh
,
M.
,
Dalilhaghi
,
M.
, and
Moltani
,
A. A.
,
2013
, “
Bubble Effect on Pressure Drop Reduction in Upward Pipe Flow
,”
Exp. Therm. Fluid Sci.
,
44
, pp.
592
598
.
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