Taylor flow in intermediate diameter channels: Simulation and hydrodynamic models

Rattner, Alexander S.; Garimella, Srinivas

doi:10.1016/j.ijheatmasstransfer.2016.07.012

Title: Taylor flow in intermediate diameter channels: Simulation and hydrodynamic models

Journal Article · Sat Aug 20 00:00:00 EDT 2016 · International Journal of Heat and Mass Transfer

DOI:https://doi.org/10.1016/j.ijheatmasstransfer.2016.07.012· OSTI ID:1533864

Rattner, Alexander S. ^[1]; Garimella, Srinivas ^[1]

Georgia Institute of Technology, Atlanta, GA (United States)

The two-phase Taylor flow pattern has been studied extensively. However, limited information is available for flows in intermediate diameter channels (5 ≲ Bo ≲ 40, or 6mm ≲ D ≲ 27mm for ambient gas–water flows), as found in air-lift and bubble pumps. Previous investigations have primarily evaluated Taylor flow models in terms of overall pressure drop, which incorporates hydrostatic and multiple hydrodynamic components. Thus, individual sub-models and sources of error could not be directly assessed. Here in this investigation, volume-of-fluid (VOF) based Taylor flow simulations are performed over a wide range of laminar and turbulent conditions in the intermediate Bond number regime (5 < Bo < 20, 250 < N_f< 1000, and 20 < Re_j < 8100). Results are applied to individually evaluate hydrodynamic sub-models for bubble-region frictional pressure drop gradient (∇p_f,b), slug frictional pressure drop gradient (∇p_f,s), and flow transition pressure loss (Δp_trans). Based on these results, recommendations are provided for selection of hydrodynamic sub-models. These hydrodynamic closure models are integrated with kinematic flow models to yield a complete intermediate Bond number Taylor flow formulation for which all submodels were independently validated. The resulting model achieves improved accuracy for predicting experimental liquid flow rates compared with previous Taylor flow models (81% of cases within 50% of measured flows rates).

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Krell Institute, Ames, IA (United States); Georgia Institute of Technology, Atlanta, GA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-97ER25308; AC02-05CH11231

OSTI ID:: 1533864

Alternate ID(s):: OSTI ID: 1399019

Journal Information:: International Journal of Heat and Mass Transfer, Vol. 103, Issue C; ISSN 0017-9310

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 5 works

Citation information provided by
Web of Science

References (61)

A simple two-phase frictional pressure drop calculation method Beattie, D. R. H.; Whalley, P. B. International Journal of Multiphase Flow, Vol. 8, Issue 1 https://doi.org/10.1016/0301-9322(82)90009-X	journal	February 1982
Modelling two-phase flow in porous media at the pore scale using the volume-of-fluid method Raeini, Ali Q.; Blunt, Martin J.; Bijeljic, Branko Journal of Computational Physics, Vol. 231, Issue 17 https://doi.org/10.1016/j.jcp.2012.04.011	journal	July 2012
CFD simulations of mass transfer from Taylor bubbles rising in circular capillaries van Baten, J. M.; Krishna, R. Chemical Engineering Science, Vol. 59, Issue 12 https://doi.org/10.1016/j.ces.2004.03.010	journal	June 2004
Theory of small-diameter airlift pumps Reinemann, D. J.; Parlange, J. Y.; Timmons, M. B. International Journal of Multiphase Flow, Vol. 16, Issue 1 https://doi.org/10.1016/0301-9322(90)90042-H	journal	January 1990
Condensation Flow Mechanisms in Microchannels: Basis for Pressure Drop and Heat Transfer Models Garimella, Srinivas Heat Transfer Engineering, Vol. 25, Issue 3 https://doi.org/10.1080/01457630490280489	journal	April 2004
Characterization of chaotic dynamic behavior in the gas–liquid slug flow using directed weighted complex network analysis Gao, Zhong-Ke; Jin, Ning-De Physica A: Statistical Mechanics and its Applications, Vol. 391, Issue 10 https://doi.org/10.1016/j.physa.2012.01.025	journal	May 2012
Prediction of the slug-to-churn flow transition in vertical two-phase flow Jayanti, S.; Hewitt, G. F. International Journal of Multiphase Flow, Vol. 18, Issue 6 https://doi.org/10.1016/0301-9322(92)90063-M	journal	November 1992
On the CFD modelling of Taylor flow in microchannels Gupta, Raghvendra; Fletcher, David F.; Haynes, Brian S. Chemical Engineering Science, Vol. 64, Issue 12 https://doi.org/10.1016/j.ces.2009.03.018	journal	June 2009
Measurements on wave propagation and bubble and slug velocities in cocurrent upward two-phase flow Legius, H. J. W. M.; van den Akker, H. E. A.; Narumo, T. Experimental Thermal and Fluid Science, Vol. 15, Issue 3 https://doi.org/10.1016/S0894-1777(97)00012-5	journal	October 1997
CFD approaches for the simulation of hydrodynamics and heat transfer in Taylor flow Asadolahi, Azadeh N.; Gupta, Raghvendra; Fletcher, David F. Chemical Engineering Science, Vol. 66, Issue 22 https://doi.org/10.1016/j.ces.2011.07.047	journal	November 2011
Coupling-fluid heated bubble pump generators: Experiments and model development Rattner, Alexander S.; Garimella, Srinivas Science and Technology for the Built Environment, Vol. 21, Issue 3 https://doi.org/10.1080/10789669.2015.1004978	journal	February 2015
Inertial and interfacial effects on pressure drop of Taylor flow in capillaries Kreutzer, Michiel T.; Kapteijn, Freek; Moulijn, Jacob A. AIChE Journal, Vol. 51, Issue 9 https://doi.org/10.1002/aic.10495	journal	January 2005
Fluid Mechanics of Taylor Bubbles and Slug Flows in Vertical Channels Anglart, Henryk; Podowski, Michael Z. Nuclear Science and Engineering, Vol. 140, Issue 2 https://doi.org/10.13182/NSE02-A2252	journal	February 2002
A critical review of two-phase flow in gas flow channels of proton exchange membrane fuel cells Anderson, Ryan; Zhang, Lifeng; Ding, Yulong Journal of Power Sources, Vol. 195, Issue 15 https://doi.org/10.1016/j.jpowsour.2009.12.123	journal	August 2010
CFD simulations of wall mass transfer for Taylor flow in circular capillaries van Baten, J. M.; Krishna, R. Chemical Engineering Science, Vol. 60, Issue 4 https://doi.org/10.1016/j.ces.2004.10.001	journal	February 2005
An Experimentally Validated Model for Two-Phase Pressure Drop in the Intermittent Flow Regime for Circular Microchannels Garimella, S.; Killion, J. D.; Coleman, J. W. Journal of Fluids Engineering, Vol. 124, Issue 1 https://doi.org/10.1115/1.1428327	journal	September 2001
CFD modelling of slug flow in vertical tubes Taha, Taha; Cui, Z. F. Chemical Engineering Science, Vol. 61, Issue 2 https://doi.org/10.1016/j.ces.2005.07.022	journal	January 2006
Explicit approximations to the solution of Colebrook's friction factor equation Zigrang, D. J.; Sylvester, N. D. AIChE Journal, Vol. 28, Issue 3 https://doi.org/10.1002/aic.690280323	journal	May 1982
Modelling Merging and Fragmentation in Multiphase Flows with SURFER Lafaurie, Bruno; Nardone, Carlo; Scardovelli, Ruben Journal of Computational Physics, Vol. 113, Issue 1 https://doi.org/10.1006/jcph.1994.1123	journal	July 1994
A Numerical Study of Taylor Bubbles Lu, Xiaozhen; Prosperetti, Andrea Industrial & Engineering Chemistry Research, Vol. 48, Issue 1 https://doi.org/10.1021/ie800201x	journal	August 2008
Investigation of a diffusion absorption refrigerator Srikhirin, Pongsid; Aphornratana, Satha Applied Thermal Engineering, Vol. 22, Issue 11 https://doi.org/10.1016/S1359-4311(02)00049-2	journal	August 2002
A slugh-churn flow model for small-diameter airlift pumps de Cachard, F.; Delhaye, J. M. International Journal of Multiphase Flow, Vol. 22, Issue 4 https://doi.org/10.1016/0301-9322(96)00003-1	journal	August 1996
Numerical simulation of species transfer across fluid interfaces in free-surface flows using OpenFOAM Marschall, Holger; Hinterberger, Korbinian; Schüler, Christian Chemical Engineering Science, Vol. 78 https://doi.org/10.1016/j.ces.2012.02.034	journal	August 2012
A continuum method for modeling surface tension Brackbill, J. U.; Kothe, D. B.; Zemach, C. Journal of Computational Physics, Vol. 100, Issue 2 https://doi.org/10.1016/0021-9991(92)90240-Y	journal	June 1992
Optimization of the Geometrical Parameters of a Solar Bubble Pump for Absorption-Diffusion Cooling Systems Dammak, N.; Chaouachi, B.; Gabsi, S. American Journal of Engineering and Applied Sciences, Vol. 3, Issue 4 https://doi.org/10.3844/ajeassp.2010.693.698	journal	April 2010
Local Hydrodynamics of flow in a Pulsating heat Pipe: a Review Khandekar, Sameer; Panigrahi, Pradipta K.; Lefèvre, Frédéric Frontiers in Heat Pipes, Vol. 1, Issue 2 https://doi.org/10.5098/fhp.v1.2.3003	journal	November 2010
Hydrodynamics of Taylor Flow in Vertical Capillaries: Flow Regimes, Bubble Rise Velocity, Liquid Slug Length, and Pressure Drop Liu, Hui; Vandu, Chippla O.; Krishna, Rajamani Industrial & Engineering Chemistry Research, Vol. 44, Issue 14 https://doi.org/10.1021/ie049307n	journal	December 2004
A simple friction pressure drop correlation for two-phase flow in pipes Müller-Steinhagen, H.; Heck, K. Chemical Engineering and Processing: Process Intensification, Vol. 20, Issue 6 https://doi.org/10.1016/0255-2701(86)80008-3	journal	November 1986
Direct numerical simulation of mass transfer from Taylor bubble flow through a circular capillary Hassanvand, Amin; Hashemabadi, Seyed Hassan International Journal of Heat and Mass Transfer, Vol. 55, Issue 21-22 https://doi.org/10.1016/j.ijheatmasstransfer.2012.06.006	journal	October 2012
A numerical model of Taylor bubbles rising through stagnant liquids in vertical tubes Bugg, J. D.; Mack, K.; Rezkallah, K. S. International Journal of Multiphase Flow, Vol. 24, Issue 2 https://doi.org/10.1016/S0301-9322(97)00047-5	journal	March 1998
A Model for Gas-Liquid Slug Flow in Horizontal and Near Horizontal Tubes Dukler, Abraham E.; Hubbard, Martin G. Industrial & Engineering Chemistry Fundamentals, Vol. 14, Issue 4 https://doi.org/10.1021/i160056a011	journal	November 1975
A Mechanistic Model for Two-Phase Vertical Slug Flow in Pipes Sylvester, N. D. Journal of Energy Resources Technology, Vol. 109, Issue 4 https://doi.org/10.1115/1.3231348	journal	December 1987
A model for slug length distribution in gas-liquid slug flow Barnea, D.; Taitel, Y. International Journal of Multiphase Flow, Vol. 19, Issue 5 https://doi.org/10.1016/0301-9322(93)90046-W	journal	October 1993
The motion of long bubbles in tubes Bretherton, F. P. Journal of Fluid Mechanics, Vol. 10, Issue 02 https://doi.org/10.1017/S0022112061000160	journal	March 1961
On the motion of long bubbles in vertical tubes Bendiksen, Kjell H. International Journal of Multiphase Flow, Vol. 11, Issue 6 https://doi.org/10.1016/0301-9322(85)90025-4	journal	November 1985
Simulation of Taylor Flow in Capillaries Based on the Volume-of-Fluid Technique Akbar, M. K.; Ghiaasiaan, S. M. Industrial & Engineering Chemistry Research, Vol. 45, Issue 15 https://doi.org/10.1021/ie0601551	journal	June 2006
The motion of a large gas bubble rising through liquid flowing in a tube Collins, R.; Moraes, F. F. De; Davidson, J. F. Journal of Fluid Mechanics, Vol. 89, Issue 3 https://doi.org/10.1017/S0022112078002700	journal	December 1978
The motion of Taylor bubbles in vertical tubes. I. A numerical simulation for the shape and rise velocity of Taylor bubbles in stagnant and flowing liquid Mao, Zai-Sha; Dukler, A. E. Journal of Computational Physics, Vol. 91, Issue 1 https://doi.org/10.1016/0021-9991(90)90008-O	journal	November 1990
Exploring the flow of immiscible fluids in a square vertical mini-channel by direct numerical simulation Ghidersa, B. E.; Wörner, M.; Cacuci, D. G. Chemical Engineering Journal, Vol. 101, Issue 1-3 https://doi.org/10.1016/j.cej.2003.10.021	journal	August 2004
An analysis of parasitic current generation in Volume of Fluid simulations Harvie, D. J. E.; Davidson, M. R.; Rudman, M. Applied Mathematical Modelling, Vol. 30, Issue 10 https://doi.org/10.1016/j.apm.2005.08.015	journal	October 2006
Evaluating the performance of the two-phase flow solver interFoam Deshpande, Suraj S.; Anumolu, Lakshman; Trujillo, Mario F. Computational Science & Discovery, Vol. 5, Issue 1 https://doi.org/10.1088/1749-4699/5/1/014016	journal	January 2012
Simulation of flow and mass transfer in Taylor flow through a capillary Irandoust, Said; Andersson, Bengt Computers & Chemical Engineering, Vol. 13, Issue 4-5 https://doi.org/10.1016/0098-1354(89)85034-3	journal	April 1989
A tensorial approach to computational continuum mechanics using object-oriented techniques Weller, H. G.; Tabor, G.; Jasak, H. Computers in Physics, Vol. 12, Issue 6 https://doi.org/10.1063/1.168744	journal	January 1998
Hydrodynamic model for gas-liquid slug flow in vertical tubes Fernandes, R. C.; Semiat, R.; Dukler, A. E. AIChE Journal, Vol. 29, Issue 6 https://doi.org/10.1002/aic.690290617	journal	November 1983
A numerical model of slug flow in vertical tubes Clarke, A.; Issa, R. I. Computers & Fluids, Vol. 26, Issue 4 https://doi.org/10.1016/S0045-7930(96)00016-3	journal	May 1997
Investigation of flow structures in vertical slug flow Kawaji, M.; DeJesus, J. M.; Tudose, G. Nuclear Engineering and Design, Vol. 175, Issue 1-2 https://doi.org/10.1016/S0029-5493(97)00160-X	journal	November 1997
Accuracy of two‐phase flow simulations: The Taylor Flow benchmark Aland, Sebastian; Lehrenfeld, Christoph; Marschall, Holger PAMM, Vol. 13, Issue 1 https://doi.org/10.1002/pamm.201310278	journal	December 2013
Flow patterns in the wake of a Taylor bubble rising through vertical columns of stagnant and flowing Newtonian liquids: An experimental study Nogueira, S.; Riethmuller, M. L.; Campos, J. B. L. M. Chemical Engineering Science, Vol. 61, Issue 22 https://doi.org/10.1016/j.ces.2006.08.002	journal	November 2006
Bubble-train flow in capillaries of circular and square cross section Thulasidas, T. C.; Abraham, M. A.; Cerro, R. L. Chemical Engineering Science, Vol. 50, Issue 2 https://doi.org/10.1016/0009-2509(94)00225-G	journal	January 1995
Co-current flow effects on a rising Taylor bubble Quan, Shaoping International Journal of Multiphase Flow, Vol. 37, Issue 8 https://doi.org/10.1016/j.ijmultiphaseflow.2011.04.004	journal	October 2011
Modelling flow pattern transitions for steady upward gas-liquid flow in vertical tubes Taitel, Yehuda; Bornea, Dvora; Dukler, A. E. AIChE Journal, Vol. 26, Issue 3 https://doi.org/10.1002/aic.690260304	journal	May 1980
Modelling of heat flux received by a bubble pump of absorption-diffusion refrigeration cycles Benhmidene, Ali; Chaouachi, Béchir; Gabsi, Slimane Heat and Mass Transfer, Vol. 47, Issue 11 https://doi.org/10.1007/s00231-011-0799-3	journal	April 2011
A theoretical basis for the Lockhart-Martinelli correlation for two-phase flow Chisholm, D. International Journal of Heat and Mass Transfer, Vol. 10, Issue 12 https://doi.org/10.1016/0017-9310(67)90047-6	journal	December 1967
Validation of Interface Capturing and Tracking techniques with different surface tension treatments against a Taylor bubble benchmark problem Marschall, Holger; Boden, Stephan; Lehrenfeld, Christoph Computers & Fluids, Vol. 102 https://doi.org/10.1016/j.compfluid.2014.06.030	journal	October 2014
Translational velocities of elongated bubbles in continuous slug flow van Hout, R.; Barnea, D.; Shemer, L. International Journal of Multiphase Flow, Vol. 28, Issue 8 https://doi.org/10.1016/S0301-9322(02)00027-7	journal	August 2002
Vertical upward intermediate scale Taylor flow: Experiments and kinematic closure Rattner, Alexander S.; Garimella, Srinivas International Journal of Multiphase Flow, Vol. 75 https://doi.org/10.1016/j.ijmultiphaseflow.2015.04.007	journal	October 2015
Some characteristics of air-water two-phase flow in small diameter vertical tubes Mishima, K.; Hibiki, T. International Journal of Multiphase Flow, Vol. 22, Issue 4 https://doi.org/10.1016/0301-9322(96)00010-9	journal	August 1996
Critical evaluation of CFD codes for interfacial simulation of bubble-train flow in a narrow channel Özkan, Furkan; Wörner, Martin; Wenka, Achim International Journal for Numerical Methods in Fluids, Vol. 55, Issue 6 https://doi.org/10.1002/fld.1468	journal	January 2007
Universal correlation for the rise velocity of long gas bubbles in round pipes Viana, Flavia; Pardo, Raimundo; YÁNez, Rodolfo Journal of Fluid Mechanics, Vol. 494 https://doi.org/10.1017/S0022112003006165	journal	November 2003
Energetic analysis of a diffusion–absorption system: A bubble pump under geometrical and operational conditions effects Belman-Flores, J. M.; Rodríguez-Muñoz, J. L.; Rubio-Maya, C. Applied Thermal Engineering, Vol. 71, Issue 1 https://doi.org/10.1016/j.applthermaleng.2014.06.034	journal	October 2014
A moving mesh finite volume interface tracking method for surface tension dominated interfacial fluid flow Tuković, Ž.; Jasak, H. Computers & Fluids, Vol. 55 https://doi.org/10.1016/j.compfluid.2011.11.003	journal	February 2012

Similar Records

Simulation of Taylor flow evaporation for bubble-pump applications

Journal Article · Fri Sep 15 00:00:00 EDT 2017 · International Journal of Heat and Mass Transfer · OSTI ID:1533864

Rattner, Alexander S.; Garimella, Srinivas

Hydrodynamic instabilities in gas-liquid monolithic reactors

Book · Tue Dec 31 00:00:00 EST 1996 · OSTI ID:1533864

Grolman, E; Edvinsson, R K; Stankiewicz, A; +1 more

Discovery of Kilohertz Fluctuations in Centaurus X-3: Evidence for Photon Bubble Oscillations (PBO) and Turbulence in a High-Mass X-Ray Binary Pulsar

Journal Article · Sun Feb 20 00:00:00 EST 2000 · Astrophysical Journal · OSTI ID:1533864

Jernigan, J Garrett; Klein, Richard I; Arons, Jonathan

Related Subjects

42 ENGINEERING
Taylor flow
volume-of-fluid
two-phase flow
bubble pump

Title: Taylor flow in intermediate diameter channels: Simulation and hydrodynamic models

Citation Formats

References (61)

Similar Records

Related Subjects