A numerical and experimental study of Taylor bubbles in a square minichannel with a side of 1 mm has been carried out. A three-dimensional numerical simulation was performed using the volume of fluid method in the open source package OpenFOAM. An experimental study was performed using a high-speed shadow method and automatic processing. The characteristic flow regimes are investigated, with the main attention being paid to the Taylor regime. In the course of the work, the calculated and experimental data were compared, and their good agreement was shown. The distribution of velocities in a liquid and gas, as well as the distribution of the liquid film thickness in a bubble, is studied. The thickness of the liquid film in the corner and the center of the channel is compared with the corresponding well-known correlations. A dependence that describes the thickness of a liquid film in a square channel is proposed. Investigations of the streamline both in the liquid near the bubble and in the bubble itself. It is shown that in the square channel in front of the bubble there are four stable vortexes in the direction of the channel corners. Inside the bubble there is a specific flow from the tail to the nose of the bubble. There is a swirling of the gas in the transverse direction in the bubble.
References
1.
R.
Gupta
, D.
Fletcher
, and B.
Haynes
, “Taylor flow in microchannels: A review of experimental and computational work
,” J. Comput. Multiphase Flows
2
, 1
–31
(2010
).2.
J.
Yue
, L.
Luo
, Y.
Gonthier
, G.
Chen
, and Q.
Yuan
, “An experimental study of air–water Taylor flow and mass transfer inside square microchannels
,” Chem. Eng. Sci.
64
, 3697
–3708
(2009
).3.
T.
Mitchell
and C.
Leonardi
, “Development of closure relations for the motion of Taylor bubbles in vertical and inclined annular pipes using high-fidelity numerical modeling
,” Phys. Fluids
32
, 063306
(2020
).4.
A. N.
Asadolahi
, R.
Gupta
, S. S.
Leung
, D. F.
Fletcher
, and B. S.
Haynes
, “Validation of a CFD model of Taylor flow hydrodynamics and heat transfer
,” Chem. Eng. Sci.
69
, 541
–552
(2012
).5.
R.
Gupta
, D. F.
Fletcher
, and B. S.
Haynes
, “On the CFD modelling of Taylor flow in microchannels
,” Chem. Eng. Sci.
64
, 2941
–2950
(2009
).6.
P.
Angeli
and A.
Gavriilidis
, “Hydrodynamics of Taylor flow in small channels: A review
,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
222
, 737
–751
(2008
).7.
T.
Abadie
, J.
Aubin
, D.
Legendre
, and C.
Xuereb
, “Hydrodynamics of gas–liquid Taylor flow in rectangular microchannels
,” Microfluid. Nanofluid
12
, 355
–369
(2011
).8.
I. S.
Vozhakov
and F. V.
Ronshin
, “Experimental and theoretical study of two-phase flow in wide microchannels
,” Int. J. Heat Mass Transfer
136
, 312
–323
(2019
).9.
G.
Taylor
, “Deposition of a viscous fluid on a plane surface
,” J. Fluid Mech.
9
, 218
–224
(1960
).10.
F. P.
Bretherton
, “The motion of long bubbles in tubes
,” J. Fluid Mech.
10
, 166
–188
(1961
).11.
H.
Liu
, C. O.
Vandu
, and R.
Krishna
, “Hydrodynamics of Taylor flow in vertical capillaries: Flow regimes, bubble rise velocity, liquid slug length, and pressure drop
,” Ind. Eng. Chem. Res.
44
, 4884
–4897
(2005
).12.
P.
Aussillous
and D.
Quéré
, “Quick deposition of a fluid on the wall of a tube
,” Phys. Fluids
12
, 2367
–2371
(2000
).13.
M. T.
Kreutzer
, F.
Kapteijn
, J. A.
Moulijn
, and J. J.
Heiszwolf
, “Multiphase monolith reactors: Chemical reaction engineering of segmented flow in microchannels
,” Chem. Eng. Sci.
60
, 5895
–5916
(2005
).14.
Y.
Han
and N.
Shikazono
, “Measurement of liquid film thickness in micro square channel
,” Int. J. Multiphase Flow
35
, 896
–903
(2009
).15.
Y.
Han
and N.
Shikazono
, “Measurement of the liquid film thickness in micro tube slug flow
,” Int. J. Heat Fluid Flow
30
, 842
–853
(2009
).16.
A.
Abdollahi
, S. E.
Norris
, and R. N.
Sharma
, “Pressure drop and film thickness of liquid-liquid Taylor flow in square microchannels
,” Int. J. Heat Mass Transfer
156
, 119802
(2020
).17.
F.
Fairbrother
and A.
Stubbs
, “Studies in electroendosmosis. VI. The bubble-tube method of measurements
,” J. Chem. Soc.
1
, 527
(1935
).18.
C. B.
Tibiriçá
, F. J.
do Nascimento
, and G.
Ribatski
, “Film thickness measurement techniques applied to micro-scale two-phase flow systems
,” Exp. Therm. Fluid Sci.
34
, 463
–473
(2010
).19.
S.
Boden
, M.
Haghnegahdar
, and U.
Hampel
, “Measurement of Taylor bubble shape in square channel by microfocus x-ray computed tomography for investigation of mass transfer
,” Flow Meas. Instrum.
53
, 49
–55
(2017
).20.
F.
Sarrazin
, K.
Loubiere
, L.
Prat
, C.
Gourdon
, T.
Bonometti
, and J.
Magnaudet
, “Experimental and numerical study of droplets hydrodynamics in microchannels
,” AIChE J.
52
, 4061
–4070
(2006
).21.
H.
Kinoshita
, S.
Kaneda
, T.
Fujii
, and M.
Oshima
, “Three-dimensional measurement and visualization of internal flow of a moving droplet using confocal micro-PIV
,” Lab Chip
7
, 338
–346
(2007
).22.
A.
Ferrari
, M.
Magnini
, and J. R.
Thome
, “A flexible coupled level set and volume of fluid (flexCLV) method to simulate microscale two-phase flow in non-uniform and unstructured meshes
,” Int. J. Multiphase Flow
91
, 276
–295
(2017
).23.
M.
Mei
, C.
Le Men
, K.
Loubière
, G.
Hébrard
, and N.
Dietrich
, “Taylor bubble formation and flowing in a straight millimetric channel with a cross-junction inlet geometry. I. Bubble dynamics
,” Chem. Eng. Sci.
255
, 117609
(2022
).24.
F.
Ronshin
, Y.
Dementyev
, D.
Kochkin
, K.
Eloyan
, and I.
Vozhakov
, “Investigation of two-phase flow regimes in square minichannels with different mixers created using additive technologies
,” Exp. Therm. Fluid Sci.
132
, 110565
(2022
).25.
Y.
Pang
, Q.
Yang
, X.
Wang
, and Z.
Liu
, “Dripping and jetting generation mode in t-junction microchannels with contractive structures
,” Phys. Fluids
34
, 092001
(2022
).26.
R.
Azadi
, J.
Wong
, and D. S.
Nobes
, “Experimental and analytical investigation of meso-scale slug bubble dynamics in a square capillary channel
,” Phys. Fluids
32
, 083304
(2020
).27.
E. L.
Sharaborin
, O. A.
Rogozin
, and A. R.
Kasimov
, “Computational study of the dynamics of the Taylor bubble
,” Fluids
6
, 389
(2021
).28.
M. D.
Zimmer
and I. A.
Bolotnov
, “Evaluation of length scales and meshing requirements for resolving two-phase flow regime transitions using the level set method
,” J. Fluids Eng.
143
, 061403
(2021
).29.
M.
Alekseev
and I.
Vozhakov
, “3d numerical simulation of hydrodynamics and heat transfer in the Taylor flow
,” J. Eng. Thermophys.
31
, 299
–308
(2022
).30.
R.
Azadi
and D. S.
Nobes
, “On the three-dimensional features of a confined slug bubble in a flowing square capillary
,” Phys. Fluids
33
, 033327
(2021
).31.
C. W.
Hirt
and B. D.
Nichols
, “Volume of fluid (VOF) method for the dynamics of free boundaries
,” J. Comput. Phys.
39
, 201
–225
(1981
).32.
J. U.
Brackbill
, D. B.
Kothe
, and C.
Zemach
, “A continuum method for modeling surface tension
,” J. Comput. Phys.
100
, 335
–354
(1992
).33.
P.
Garstecki
, M. J.
Fuerstman
, H. A.
Stone
, and G. M.
Whitesides
, “Formation of droplets and bubbles in a microfluidic t-junction–scaling and mechanism of break-up
,” Lab Chip
6
, 437
–446
(2006
).34.
S.
Haase
, T.
Bauer
, and E.
Graf
, “Gas–liquid flow regime prediction in minichannels: A dimensionless, universally applicable approach
,” Ind. Eng. Chem. Res.
59
, 3820
–3838
(2020
).35.
J. A.
Howard
and P. A.
Walsh
, “Review and extensions to film thickness and relative bubble drift velocity prediction methods in laminar Taylor or slug flows
,” Int. J. Multiphase Flow
55
, 32
–42
(2013
).36.
A.
de Ryck
, “The effect of weak inertia on the emptying of a tube
,” Phys. Fluids
14
, 2102
–2108
(2002
).37.
B.
Figueroa-Espinoza
and J.
Fabre
, “Taylor bubble moving in a flowing liquid in vertical channel: Transition from symmetric to asymmetric shape
,” J. Fluid Mech.
679
, 432
–454
(2011
).38.
A.
Fershtman
, V.
Babin
, D.
Barnea
, and L.
Shemer
, “On shapes and motion of an elongated bubble in downward liquid pipe flow
,” Phys. Fluids
29
, 112103
(2017
).© 2022 Author(s). Published under an exclusive license by AIP Publishing.
2022
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