Abstract
This study experimentally and numerically investigates the hydrodynamic characteristics and heat transfer of developing and fully developed laminar liquid–liquid Taylor flows. The problem is conducted in circular mini-channels with different diameters subjected to a constant wall temperature boundary condition. An experimental setup is designed employing an open-loop water/oil two-phase nonboiling flow at mini-scale tubing sizes of 1.42, 1.52, and 1.65 mm. Two silicone oils with the dynamic viscosities of 1 and 5 cSt at several volumetric flow rates are used to establish segmented flow. The impacts of the channel diameter, viscosity, and flow rate ratio on the flow pattern, pressure drop, film thickness, and heat transfer rate are discussed. In good agreement with the literature, it is found that the pressure drop generated by the interface increases the total pressure loss by up to 200% compared to the single-phase flow. The results also explain how recirculating regions within the slugs influence the film region and the physics of backflow. Furthermore, introducing segmented water slugs significantly enhances the heat transfer rate as the dimensionless thermal length decreases. A significant relation between the recirculating regions and heat transfer has been demonstrated for the first time.
Issue Section:
Forced Convection
References
1.
Kreutzer
,
M. T.
,
Kapteijn
,
F.
,
Moulijn
,
J. A.
, and
Heiszwolf
,
J. J.
, 2005
, “
Multiphase Monolith Reactors: Chemical Reaction Engineering of Segmented Flow in Microchannels
,” Chem. Eng. Sci.
,
60
(22
), pp. 5895
–5916
.10.1016/j.ces.2005.03.0222.
Dai
,
Z.
,
Guo
,
Z.
,
Fletcher
,
D. F.
, and
Haynes
,
B. S.
, 2015
, “
Taylor Flow Heat Transfer in Microchannels—Unification of Liquid-Liquid and Gas-Liquid Results
,” Chem. Eng. Sci.
,
138
, pp. 140
–152
.10.1016/j.ces.2015.08.0123.
Abdollahi
,
A.
,
Norris
,
S. E.
, and
Sharma
,
R. N.
, 2020
, “
Fluid Flow and Heat Transfer of Liquid-Liquid Taylor Flow in Square Microchannels
,” Appl. Therm. Eng.
,
172
, p. 115123
.10.1016/j.applthermaleng.2020.1151234.
Cao
,
Y.
,
Soares
,
C.
,
Padoin
,
N.
, and
Noël
,
T.
, 2021
, “
Gas Bubbles Have Controversial Effects on Taylor Flow Electrochemistry
,” Chem. Eng. J.
,
406
, p. 126811
.10.1016/j.cej.2020.1268115.
Wu
,
C.
,
Tang
,
K.
,
Gu
,
B.
,
Deng
,
J.
,
Liu
,
Z.
, and
Wu
,
Z.
, 2016
, “
Concentration-Dependent Viscous Mixing in Microfluidics: Modelings and Experiments
,” Microfluid. Nanofluid.
,
20
(6
), p. 90
.10.1007/s10404-016-1755-96.
Cao
,
Y.
,
Padoin
,
N.
,
Soares
,
C.
, and
Noël
,
T.
, 2022
, “
On the Performance of Liquid-Liquid Taylor Flow Electrochemistry in a Microreactor–a CFD Study
,” Chem. Eng. J.
,
427
, p. 131443
.10.1016/j.cej.2021.1314437.
Pang
,
Z.
,
Zhu
,
C.
,
Ma
,
Y.
, and
Fu
,
T.
, 2020
, “
CO2 Absorption by Liquid Films Under Taylor Flow in Serpentine Minichannels
,” Ind. Eng. Chem. Res.
,
59
(26
), pp. 12250
–12261
.10.1021/acs.iecr.0c022178.
Osorio-Nesme
,
A.
,
Rauh
,
C.
, and
Delgado
,
A.
, 2012
, “
Flow Rectification and Reversal Mass Flow in Printed Periodical Microstructures
,” Eng. Appl. Comput. Fluid Mech.
,
6
(2
), pp. 285
–294
.10.1080/19942060.2012.110154219.
Yao
,
C.
,
Chen
,
G.
, and
Yuan
,
Q.
, 2019
, “
Mass Transfer Characteristics of Gas-Liquid Two-Phase Flow in Microchannels and Applications
,” CIESC J.
,
70
(10
), pp. 3635
–3644
.10.11949/0438-1157.2019071010.
Takeshita
,
K.
, 2010
, “
Development of Liquid-Liquid Countercurrent Centrifugal Extractor With Taylor-Couette Flow
,” Japanese J. Multiphase Flow
,
24
(3
), pp. 267
–274
.10.3811/jjmf.24.26711.
Mohmmed
,
A. O.
,
Al-Kayiem
,
H. H.
, and
Osman
,
A. B.
, 2021
, “
Investigations on the Slug Two-Phase Flow in Horizontal Pipes: Past, Presents, and Future Directives
,” Chem. Eng. Sci.
,
238
, p. 116611
.10.1016/j.ces.2021.11661112.
Elvira
,
K. S.
,
I Solvas
,
X. C.
,
Wootton
,
R. C. R.
, and
de Mello
.
A. J.
, 2013
, “
The Past, Present and Potential for Microfluidic Reactor Technology in Chemical Synthesis
,” Nat. Chem.
,
5
(11
), pp. 905
–915
.10.1038/nchem.175313.
Zhang
,
J.
,
Lei
,
L.
,
Liang
,
F.
,
Li
,
H.
,
Sundén
,
B.
, and
Wu
,
Z.
, 2020
, “
An Improved Method to Visualize Two Regions of Interest Synchronously in Microfluidics
,” Flow Meas. Instrum.
,
72
, p. 101715
.10.1016/j.flowmeasinst.2020.10171514.
Rahmandhika
,
A.
,
Widyatama
,
A.
,
Dinaryanto
,
O.
,
Widyaparaga
,
A.
, and
Deendarlianto
,
Indarto
, 2019
, “
Experimental Study on the Hydrodynamic Behavior of Gas-Liquid Air-Water Two-Phase Flow Near the Transition to Slug Flow in Horizontal Pipes
,” Int. J. Heat Mass Transfer
,
130
, pp. 187
–203
.10.1016/j.ijheatmasstransfer.2018.10.08515.
Lim
,
A. E.
,
Lim
,
C. Y.
,
Lam
,
Y. C.
, and
Lim
,
Y. H.
, 2019
, “
Effect of Microc hannel Junction Angle on Two-Phase Liquid-Gas Taylor Flow
,” Chem. Eng. Sci.
,
202
, pp. 417
–428
.10.1016/j.ces.2019.03.04416.
Li
,
H. W.
,
Wang
,
Y. C.
,
Hong
,
W. P.
,
Sun
,
B.
, and
Zhou
,
Y. L.
, 2020
, “
Analysis of Parallel Mini-Channels' Complex Flow Boiling and Dryout Dynamics Based on the Pressure Drop Signals
,” Exp. Therm. Fluid Sci.
,
110
, p. 109944
.10.1016/j.expthermflusci.2019.10994417.
Komrakova
,
A. E.
,
Shardt
,
O.
,
Eskin
,
D.
, and
Derksen
,
J. J.
, 2014
, “
Lattice Boltzmann Simulations of Drop Deformation and Breakup in Shear Flow
,” Int. J. Multiphase Flow
,
59
, pp. 24
–43
.10.1016/j.ijmultiphaseflow.2013.10.00918.
Patel
,
R. S.
,
Weibel
,
J. A.
, and
Garimella
,
S. V.
, 2017
, “
Characterization of Liquid Film Thickness in Slug-Regime Microchannel Flows
,” Int. J. Heat Mass Transfer
,
115
, pp. 1137
–1143
.10.1016/j.ijheatmasstransfer.2017.08.00819.
Qian
,
J. Y.
,
Chen
,
M. R.
,
Wu
,
Z.
,
Jin
,
Z. J.
, and
Sunden
,
B.
, 2019
, “
Effects of a Dynamic Injection Flow Rate on Slug Generation in a Cross-Junction Square Microchannel
,” Processes
,
7
(10
), p. 765
.10.3390/pr710076520.
Walsh
,
E.
,
Muzychka
,
Y. S.
,
Walsh
,
P.
,
Egan
,
V.
, and
Punch
,
J.
, 2009
, “
Pressure Drop in Two Phase Slug/Bubble Flows in Mini Scale Capillaries
,” Int. J. Multiphase Flow
,
35
(10
), pp. 879
–884
.10.1016/j.ijmultiphaseflow.2009.06.00721.
Jovanović
,
J.
,
Zhou
,
W.
,
Rebrov
,
E. V.
,
Nijhuis
,
T. A.
,
Hessel
,
V.
, and
Schouten
,
J. C.
, 2011
, “
Liquid-Liquid Slug Flow: Hydrodynamics and Pressure Drop
,” Chem. Eng. Sci.
,
66
(1
), pp. 42
–54
.10.1016/j.ces.2010.09.04022.
Yao
,
C.
,
Ma
,
H.
,
Zhao
,
Q.
,
Liu
,
Y.
,
Zhao
,
Y.
, and
Chen
,
G.
, 2020
, “
Mass Transfer in Liquid-Liquid Taylor Flow in a Microchannel: Local Concentration Distribution, Mass Transfer Regime and the Effect of Fluid Viscosity
,” Chem. Eng. Sci.
,
223
, p. 115734
.10.1016/j.ces.2020.11573423.
Vasilev
,
M. P.
,
Rusakov
,
B. A.
, and
Abiev
,
R. S.
, 2022
, “
Gas-Liquid Slug Flow in Microfluidic Heat Exchanger: Effect of Gas Hold-Up and Bubble Size on Pressure Drop and Heat Transfer
,” Int. J. Therm. Sci.
,
173
, p. 107395
.10.1016/j.ijthermalsci.2021.10739524.
Angeli
,
P.
, and
Gavriilidis
,
A.
, 2008
, “
Hydrodynamics of Taylor Flow in Small Channels: A Review
,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
,
222
(5
), pp. 737
–751
.10.1243/09544062JMES77625.
Gupta
,
R.
,
Fletcher
,
D. F.
, and
Haynes
,
B. S.
, 2010
, “
Taylor Flow in Microchannels: A Review of Experimental and Computational Work
,” J. Comput. Multiphase Flows
,
2
(1
), pp. 1
–31
.10.1260/1757-482X.2.1.126.
Talimi
,
V.
,
Muzychka
,
Y. S.
, and
Kocabiyik
,
S.
, 2012
, “
A Review on Numerical Studies of Slug Flow Hydrodynamics and Heat Transfer in Microtubes and Microchannels
,” Int. J. Multiphase Flow
,
39
, pp. 88
–104
.10.1016/j.ijmultiphaseflow.2011.10.00527.
Bandara
,
T.
,
Nguyen
,
N. T.
, and
Rosengarten
,
G.
, 2015
, “
Slug Flow Heat Transfer Without Phase Change in Microchannels: A Review
,” Chem. Eng. Sci.
,
126
, pp. 283
–295
.10.1016/j.ces.2014.12.00728.
Etminan
,
A.
,
Muzychka
,
Y. S.
, and
Pope
,
K.
, 2021
, “
A Review on the Hydrodynamics of Taylor Flow in Microchannels: Experimental and Computational Studies
,” Processes
,
9
(5
), p. 870
.10.3390/pr905087029.
Etminan
,
A.
,
Muzychka
,
Y. S.
, and
Pope
,
K.
, 2022
, “
Liquid Film Thickness of Two‐Phase Slug Flows in Capillary Microchannels: A Review Paper
,” Can. J. Chem. Eng.
,
100
(2
), pp. 325
–348
.10.1002/cjce.2406830.
Kline
,
S. J.
, and
McClintock
,
F. A.
, 1953
, “
Describing Uncertainties in Single-Sample Experiments
,” Mech. Eng.
,
75
, pp. 3
–8
.http://54.243.252.9/engr-1330-webroot/6-Projects/PInstrumentCalibration/Kline_McClintock1953.pdf31.
Muzychka
,
Y. S.
,
Walsh
,
E.
, and
Walsh
,
P.
, 2010
, “
Simple Models for Laminar Thermally Developing Slug Flow in Noncircular Ducts and Channels
,” ASME J. Heat Mass Transfer-Trans. ASME
,
132
(11
), p. 111702
.10.1115/1.400209532.
Churchill
,
S. W.
, and
Usagi
,
R.
, 1972
, “
A General Expression for the Correlation of Rates of Transfer and Other Phenomena
,” AIChE J.
,
18
(6
), pp. 1121
–1128
.10.1002/aic.69018060633.
Muzychka
,
Y. S.
,
Walsh
,
E. J.
, and
Walsh
,
P.
, 2011
, “
Heat Transfer Enhancement Using Laminar Gas-Liquid Segmented Plug Flows
,” ASME J. Heat Mass Transfer-Trans. ASME
,
133
(4
), p. 041902
.10.1115/1.400280734.
Muzychka
,
Y. S.
, 2014
, “
Laminar Heat Transfer for Gas-Liquid Segmented Flows in Circular and Non-Circular Ducts With Constant Wall Temperature
,” ASME
Paper No. ICNMM2014-21087
.10.1115/ICNMM2014-2108735.
Alrbee
,
K.
,
Muzychka
,
Y.
, and
Duan
,
X.
, 2022
, “
Heat Transfer in Laminar Graetz and Taylor Flows Incorporating Nanoparticles
,” Heat Transfer Eng.
,
43
(12
), pp. 975
–990
.10.1080/01457632.2021.193203436.
Brackbill
,
J. U.
,
Kothe
,
D. B.
, and
Zemach
,
C.
, 1992
, “
A Continuum Method for Modeling Surface Tension
,” J. Comput. Phys.
,
100
(2
), pp. 335
–354
.10.1016/0021-9991(92)90240-Y37.
Triplett
,
K. A.
,
Ghiaasiaan
,
S. M.
,
Abdel-Khalik
,
S. I.
, and
Sadowski
,
D. L.
, 1999
, “
Gas-Liquid Two-Phase Flow in Microchannels Part I: Two-Phase Flow Patterns
,” Int. J. Multiphase Flow
,
25
(3
), pp. 377
–394
.10.1016/S0301-9322(98)00054-838.
Brauner
,
N.
, and
Maron
,
D. M.
, 1992
, “
Identification of the Range of ‘Small Diameters’ Conduits, Regarding Two-Phase Flow Pattern Transitions
,” Int. Commun. Heat Mass Transfer
,
19
(1
), pp. 29
–39
.10.1016/0735-1933(92)90061-L39.
Gupta
,
R.
,
Fletcher
,
D. F.
, and
Haynes
,
B. S.
, 2009
, “
On the CFD Modelling of Taylor Flow in Microchannels
,” Chem. Eng. Sci.
,
64
(12
), pp. 2941
–2950
.10.1016/j.ces.2009.03.01840.
Sontti
,
S. G.
, and
Atta
,
A.
, 2017
, “
CFD Analysis of Taylor Bubble in a Co-Flow Microchannel With Newtonian and Non-Newtonian Liquid
,” Ind. Eng. Chem. Res.
,
56
(25
), pp. 7401
–7412
.10.1021/acs.iecr.7b0124441.
Etminan
,
A.
,
Muzychka
,
Y. S.
, and
Pope
,
K.
, 2021
, “
Film Thickness and Pressure Drop for Gas-Liquid Taylor Flow in Microchannels
,” J. Fluid Flow, Heat Mass Transfer
,
8
(1
), pp. 59
–70
.10.11159/jffhmt.2021.00842.
Etminan
,
A.
,
Muzychka
,
Y. S.
, and
Pope
,
K.
, 2022
, “
Numerical Investigation of Gas-Liquid and Liquid-Liquid Taylor Flow Through a Circular Microchannel With a Sudden Expansion
,” Can. J. Chem. Eng.
,
100
(7
), pp. 1596
–1612
.10.1002/cjce.2422943.
Bretherton
,
F. P.
, 1961
, “
The Motion of Long Bubbles in Tubes
,” J. Fluid Mech.
,
10
(02
), pp. 166
–188
.10.1017/S002211206100016044.
Aussillous
,
P.
, and
Quéré
,
D.
, 2000
, “
Quick Deposition of a Fluid on the Wall of a Tube
,” Phys. Fluids
,
12
(10
), pp. 2367
–2371
.10.1063/1.128939645.
Kreutzer
,
M. T.
,
Du
,
P.
,
Heiszwolf
,
J. J.
,
Kapteijn
,
F.
, and
Moulijn
,
J. A.
, 2001
, “
Mass Transfer Characteristics of Three-Phase Monolith Reactors
,” Chem. Eng. Sci.
,
56
(21–22
), pp. 6015
–6023
.10.1016/S0009-2509(01)00271-846.
Eain
,
M. M. G.
,
Egan
,
V.
,
Howard
,
J.
,
Walsh
,
P.
,
Walsh
,
E.
, and
Punch
,
J.
, 2015
, “
Review and Extension of Pressure Drop Models Applied to Taylor Flow Regimes
,” Int. J. Multiphase Flow
,
68
, pp. 1
–9
.10.1016/j.ijmultiphaseflow.2014.09.00647.
Fairbrother
,
F.
, and
Stubbs
,
A. E.
, 1935
, “
Studies in Electro-Endosmosis. Part VI. The “Bubble-Tube” Method of Measurement
,” J. Chem. Soc.
,
0
(0
), pp. 527
–529
.10.1039/JR935000052748.
Huerre
,
A.
,
Theodoly
,
O.
,
Leshansky
,
A. M.
,
Valignat
,
M. P.
,
Cantat
,
I.
, and
Jullien
,
M. C.
, 2015
, “
Droplets in Microchannels: Dynamical Properties of the Lubrication Film
,” Phys. Rev. Lett.
,
115
(6
), p. 064501
.10.1103/PhysRevLett.115.06450149.
Landau
,
L.
, and
Levich
,
B.
, 1988
, “
Dragging of a Liquid by a Moving Plate
,” Dynamics of Cutved Fronts
, pp. 141
–153.10.1016/B978-0-08-092523-3.50016-250.
Giavedoni
,
M. D.
, and
Saita
,
F. A.
, 1997
, “
The Axisymmetric and Plane Cases of a Gas Phase Steadily Displacing a Newtonian Liquid—a Simultaneous Solution of the Governing Equations
,” Phys. Fluids
,
9
(8
), pp. 2420
–2428
.10.1063/1.86936051.
Fujioka
,
H.
, and
Grotberg
,
J. B.
, 2004
, “
Steady Propagation of a Liquid Plug in a Two-Dimensional Channel
,” ASME J. Biomech. Eng.
,
126
(5
), pp. 567
–577
.10.1115/1.179805152.
Habibi Matin
,
M.
, and
Moghaddam
,
S.
, 2021
, “
On the Extension of Bretherton Theory for Thin Liquid Films Formed Around Elongated Bubbles
,” Phys. Fluids
,
33
(12
), p. 123303
.10.1063/5.007396653.
Kreutzer
,
M. T.
,
Kapteijn
,
F.
,
Moulijn
,
J. A.
,
Kleijn
,
C. R.
, and
Heiszwolf
,
J. J.
, 2005
, “
Inertial and Interfacial Effects on Pressure Drop of Taylor Flow in Capillaries
,” AIChE J.
,
51
(9
), pp. 2428
–2440
.10.1002/aic.1049554.
Marchessault
,
R. N.
, and
Mason
,
S. G.
, 1960
, “
Flow of Entrapped Bubbles Through a Capillary
,” Ind. Eng. Chem.
,
52
(1
), pp. 79
–84
.10.1021/ie50601a05155.
Klaseboer
,
E.
,
Gupta
,
R.
, and
Manica
,
R.
, 2014
, “
An Extended Bretherton Model for Long Taylor Bubbles at Moderate Capillary Numbers
,” Phys. Fluids
,
26
(3
), p. 032107
.10.1063/1.486825756.
Adrugi
,
W.
,
Muzychka
,
Y. S.
, and
Pope
,
K.
, 2016
, “
Pressure Drop of Liquid-Liquid Taylor Flow in Mini-Scale Tubing
,” ASME
Paper No. IMECE2016-67736.10.1115/IMECE2016-6773657.
McAdams
,
W. H.
, Woods, W. K., and Herman Jr., L. C., 1942
, “
Vaporization Inside Horizontal Tubes-II, Benzene Oil Mixtures
,” Trans. ASME
,
64
(3
), pp. 193
–199
.10.1115/1.4019013Copyright © 2023 by ASME
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