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Journal of Shanghai Jiaotong University(Science) >

2018 , Vol. 23 >Issue Sup. 1: 34 - 40

DOI: https://doi.org/10.1007/s12204-018-2020-z

Error Analysis of Liquid Holdup Measurement in Gas-Liquid Annular Flow Through Circular Pipes Using High-Speed Camera Method

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  • (1. School of Nuclear Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China; 2. State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an 710049, China)

Online published: 2018-12-26

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Abstract

Accurate measurement of gas-liquid phase fraction is essential for the proper modelling of the pressure drop, heat transfer coefficient, mass transfer rate and interfacial area in two-phase flows. In this paper, taking the issue of optical distortion into account, an analytical model was proposed to estimate and correct the liquid holdup in gas-liquid annular flow through a circular pipe using high-speed camera method. The error in the liquid holdup measurement generated from different refractive indices among transparent circular pipe, liquid film and air core was firstly theoretically analyzed based on the geometric optics. Experimental tests were then carried out to identify the difference as well as to validate the proposed model. Results indicated that the prediction of the liquid holdup has a good performance with the experimental data (i.e., mean relative error is 4.1%) and the measured liquid holdup is larger than the real one. It was found that the measured liquid holdup is larger than the real one. Generally, when the real liquid holdup gets smaller, the discrepancy between the measured liquid holdup by image and the real liquid holdup becomes more significant. Thus, after measuring the liquid holdup from the images, the value of the measured liquid holdup must be corrected by the present model in order to obtain the real liquid holdup.

Key words： gas-liquid annular flow; liquid holdup; optical refraction; analytical correction

Cite this article

LIU Li (刘莉), BAI Bofeng (白博峰) . Error Analysis of Liquid Holdup Measurement in Gas-Liquid Annular Flow Through Circular Pipes Using High-Speed Camera Method[J]. Journal of Shanghai Jiaotong University(Science), 2018 , 23(Sup. 1) : 34 -40 . DOI: 10.1007/s12204-018-2020-z

References

[1] AZZOPARDI B J. Disturbance wave frequencies, velocitiesand spacing in vertical annular two-phase flow[J]. Nuclear Engineering and Design, 1986, 92(2): 121-133. [2] SCHUBRING D, ASHWOOD A C, SHEDD T A, etal. Planar laser-induced fluorescence (PLIF) measurementsof liquid film thickness in annular flow. Part I:Methods and data [J]. International Journal of MultiphaseFlow, 2010, 36(10): 815-824. [3] LIU L, BAI B F. Scaling laws for gas-liquid flow in swirlvane separators [J]. Nuclear Engineering and Design,2016, 298: 229-239. [4] LIU L, BAI B F. Generalization of droplet entrainmentrate correlation for annular flow considering disturbancewave properties [J]. Chemical Engineering Science,2017, 164: 279-291. [5] DEVIA F, FOSSA M. Design and optimisation ofimpedance probes for void fraction measurements[J]. Flow Measurement and Instrumentation, 2003,14(4/5): 139-149. [6] WINKLER J, KILLION J, GARIMELLA S, et al. Voidfractions for condensing refrigerant flow in small channels:Part I literature review [J]. International Journalof Refrigeration, 2012, 35(2): 219-245. [7] CAETANO E F, SHOHAM O, BRILL J P. Upwardvertical two-phase flow through an annulus——Part I:Single-phase friction factor, Taylor bubble rise velocity,and flow pattern prediction [J]. Journal of EnergyResources Technology, 1992, 114(1): 1-13. [8] ODDIE G, SHI H, DURLOFSKY L J, et al. Experimentalstudy of two and three phase flows in largediameter inclined pipes [J]. International Journal ofMultiphase Flow, 2003, 29(4): 527-558. [9] KOYAMA S, LEE J, YONEMOTO R. An investigationon void fraction of vapor liquid two-phase flowfor smooth and microfin tubes with R134a at adiabaticcondition [J]. International Journal of MultiphaseFlow, 2004, 30(3): 291-310. [10] VAN NIMWEGEN A T, PORTELA L M, HENKESR A W M. The effect of surfactants on air-water annularand churn flow in vertical pipes. Part 2: Liquidholdup and pressure gradient dynamics [J]. InternationalJournal of Multiphase Flow, 2015, 71: 146-158. [11] KENDOUSH A A. A comparative study of the variousnuclear radiations used for void fraction measurements[J]. Nuclear Engineering and Design, 1992, 137(2):249-257. [12] LI Z B, WU Y X, LI D H. Gamma-ray attenuationtechnique for measuring void fraction in horizontal gasliquidtwo-phase flow [J]. Nuclear Science and Techniques,2007, 18(2): 73-76. [13] BIEBERLE A, HOPPE D, SCHLEICHER E, et al.Void measurement using high resolution gamma-raycomputed tomography. Nuclear Engineering and Design,2011, 241(6): 2086-2092. [14] ZHANG Z Q, BIEBERLE M, BARTHEL F, et al. Investigationof upward concurrent gas-liquid pipe flowusing ultrafast X-ray tomography and wire-mesh sensor[J]. Flow Measurement and Instrumentation, 2013,32: 111-118. [15] YANGY C, XIANG Y, CHU GW, et al. A noninvasiveX-ray technique for determination of liquid holdup in arotating packed bed [J]. Chemical Engineering Science,2015, 138: 244-255. [16] KAMEI T, SERIZAWA A. Measurement of 2-dimensional local instantaneous liquid film thicknessaround simulated nuclear fuel rod by ultrasonic transmissiontechnique [J]. Nuclear Engineering and Design,1998, 184(2/3): 349-362. [17] ZHAI L S, JIN N D, GAO Z K, et al. The ultrasonicmeasurement of high water volume fraction indispersed oil-in-water flows [J]. Chemical EngineeringScience, 2013, 94: 271-283. [18] FIGUEIREDO M M F, GONCALVES J L,NAKASHIMA A M V, et al. The use of an ultrasonictechnique and neural networks for identification ofthe flow pattern and measurement of the gas volumefraction in multiphase flows [J]. Experimental Thermaland Fluid Science, 2016, 70: 29-50. [19] PRASSER H M, B¨OTTERS A, ZSCHAU J. A newelectrode-mesh tomograph for gas-liquid flows [J].Flow Measurement and Instrumentation, 1998, 9(2):111-119. [20] HAN H W, ZHU Z F, GABRIEL K. A study on the effectof gas flow-rate on the wave characteristics in twophasegas-liquid annular flow [J]. Nuclear Engineeringand Design, 2006, 236(24): 2580-2588. [21] ZHAO Y J, MARKIDES C N, MATAR O K, et al.Disturbance wave development in two-phase gas-liquidupwards vertical annular flow [J]. International Journalof Multiphase Flow, 2013, 55: 111-129. [22] VIEIRA R E, KESANA N R, TORRES C F, et al. Experimentalinvestigation of horizontal gas-liquid stratifiedand annular flow using wire-mesh sensor [J]. Journalof Fluids Engineering, 2014, 136(12): 121301. [23] WU H, TAN C, DONG X X, et al. Design of a conductanceand capacitance combination sensor for waterholdup measurement in oil-water two-phase flow[J]. Flow Measurement and Instrumentation, 2015, 46:218-229. [24] CHEN X, HAN Y F, REN Y Y, et al. Water holdupmeasurement of oil-water two-phase flow with low velocityusing a coaxial capacitance sensor [J]. ExperimentalThermal and Fluid Science, 2017, 81: 244-255. [25] TRIPLETT K A, GHIAASIAAN S M, ABDELKHALIKS I, et al. Gas-liquid two-phase flow inmicrochannels——Part II: Void fraction and pressuredrop [J]. International Journal of Multiphase Flow,1999, 25(3): 395-410. [26] KAWAHARA A, CHUNG P M Y, KAWAJI M. Investigationof two-phase flow pattern, void fractionand pressure drop in a microchannel [J]. InternationalJournal of Multiphase Flow, 2002, 28(9): 1411-1435. [27] KAWAHARA A, SADATOMI M, OKAYAMA K, etal. Effects of channel diameter and liquid propertieson void fraction in adiabatic two-phase flow throughmicrochannels [J]. Heat Transfer Engineering, 2005,26(3): 13-19. [28] CHUNG P M Y, KAWAJI M. The effect of channeldiameter on adiabatic two-phase flow characteristics inmicrochannels [J]. International Journal of MultiphaseFlow, 2004, 30(7/8): 735-761. [29] ZADRAZIL I, MARKIDES C N. An experimentalcharacterization of liquid films in downwards cocurrentgas-liquid annular flow by particle image andtracking velocimetry [J]. International Journal of MultiphaseFlow, 2014, 67: 42-53. [30] MILKIE J A, GARIMELLA S, MACDONALD M P.Flow regimes and void fractions during condensationof hydrocarbons in horizontal smooth tubes [J]. InternationalJournal of Heat and Mass Transfer, 2016, 92:252-267. [31] WUA B, FIROUZI M, MITCHELL T, et al. A criticalreview of flow maps for gas-liquid flows in vertical pipesand annuli [J]. Chemical Engineering Journal, 2017,326: 350-377. [32] LU Q, SURYANARAYANA N V, CHRISTODOULUC. Film thickness measurement with an ultrasonictransducer [J]. Experimental Thermal and Fluid Science,1993, 7(4): 354-361. [33] PEDERSEN P C, CAKARESKI Z, HERMANSON JC. Ultrasonic monitoring of film condensation for applicationsin reduced gravity [J]. Ultrasonics, 2000, 8:486-490. [34] MIYA M, WOODMANSEE D E, HANRATTY T J.A model for roll waves in gas-liquid flow [J]. ChemicalEngineering Science, 1971, 26(11): 1915-1931. [35] CONEY M W E. The theory and application of conductanceprobes for the measurement of liquid filmthickness in two-phase flow [J]. Journal of Physics E:Scientific Instruments, 1973, 6(9): 903-910. [36] AZIZI S, KARIMI H, DARVISHI P. Flow patternand oil holdup prediction in vertical oil-water twophaseflow using pressure fluctuation signal [J]. IranianJournal of Chemistry and Chemical Engineering, 2017,36(2): 125-141. [37] SMITH T R, SCHLEGEL J P, HIBIKI T, et al. Twophaseflow structure in large diameter pipes [J]. InternationalJournal of Heat and Fluid Flow, 2012, 33(1):156-167. [38] PRASSER H M, KREPPER E, LUCAS D. Evolutionof the two-phase flow in a vertical tube: Decompositionof gas fraction profiles according to bubble size classesusing wire-mesh sensors [J]. International Journal ofThermal Sciences, 2002, 41(1): 17-28. [39] PRASSER H M, BEYER M, CARL H, et al. Evolutionof the structure of a gas-liquid two-phase flow in alarge vertical pipe [J]. Nuclear Engineering and Design,2007, 237(15/16/17): 1848-1861. [40] SAISORN S, WONGWISES S. The effects of channeldiameter on flow pattern, void fraction and pressuredrop of two-phase air-water flow in circular microchannels[J]. Experimental Thermal and Fluid Science,2010, 34(4): 454-462. [41] MOHAMMADPOUR A, AKHAVAN-BEHABADI MA, EBRAHIMZADEH M, et al. Experimental determinationof void fraction in surface aeration using imageprocessing technique [J]. Journal of Mechanical Scienceand Technology, 2015, 29(6): 2391-2400. [42] PAN L M, HE H, JU P, et al. Experimental study andmodeling of disturbance wave height of vertical annularflow [J]. International Journal of Heat and MassTransfer, 2015, 89: 165-175.
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