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Study of bubble-induced turbulence in upward laminar bubbly pipe flows measured with a two-phase particle image velocimetry

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Abstract

In the present study, focusing on characterizing the bubble-induced agitation (turbulence), spatially varying flow statistics of gas and liquid phases in laminar upward bubbly flows (Reynolds number of 750) with varying mean void fraction are investigated using a two-phase high-speed particle image velocimetry. As the flow develops along the vertical direction, bubbles with small-to-moderate void fractions, which were intentionally distributed asymmetrically at the inlet, migrate fast and show symmetric distributions of wall or intermediate peaking. Meanwhile, the mean liquid velocity saturates relatively slowly to a flat distribution at the core region. Despite small void fractions considered, the bubbles generate a substantial turbulence, which increases with increasing mean void fraction. Interestingly, it is found that the mean vertical velocity, bubble-induced normal stress in radial direction, and Reynolds stress profiles match well with those of a single-phase turbulent flow at a moderate Reynolds number (e.g., 104), indicating the similarity between the bubble-induced turbulence and wall-shear-generated turbulence in a single-phase flow. Previously suggested scaling relations are confirmed such that the mean bubble rise velocity and bubble-induced normal stress (in both vertical and radial directions) scale with mean volume void fraction as a power of −0.1 and 0.4, respectively. Finally, based on the analysis of measured bubble dynamics (rise in an oscillating path), a theoretical model for two-phase turbulent (Reynolds) stress is proposed, which includes the contributions by the non-uniform distributions of local void fraction and relative bubble rise velocity, and is further validated with the present experimental data to show a good agreement with each other.

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References

  • Adoua R, Legendre D, Magnaudet J (2009) Reversal of the lift force on an oblate bubble in a weakly viscous linear shear flow. J Fluid Mech 628:23–41

    Article  MATH  Google Scholar 

  • Adrian RJ, Westerweel J (2011) Particle image velocimetry. Cambridge University Press, New York

    MATH  Google Scholar 

  • Antal SP, Lahey RT Jr, Flaherty JE (1991) Analysis of phase distribution in fully developed laminar bubbly two-phase flow. Int J Multiph Flow 17:635–652

    Article  MATH  Google Scholar 

  • Azitarte OE, Buscaglia GC (2003) Analytical and numerical evaluation of two-fluid model solutions for laminar fully developed bubbly two-phase flows. Chem Eng Sci 58:3765–3776

    Article  Google Scholar 

  • Baek SJ, Lee SJ (1996) A new two-frame particle tracking algorithm using match probability. Exp Fluids 22:23–32

    Article  Google Scholar 

  • Batchelor GK (1967) An introduction to fluid dynamics. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  • Biswas S, Esmaeeli A, Tryggvason G (2005) Comparison of results from DNS of bubbly flows with a two-fluid model for two-dimensional laminar flows. Int J Multiph Flow 31:1036–1048

    Article  MATH  Google Scholar 

  • Bröder D, Sommerfeld M (2007) Planar shadow image velocimetry for the analysis of the hydrodynamics in bubbly flows. Meas Sci Technol 18:2513–2528

    Article  Google Scholar 

  • Clift R, Grace JR, Weber ME (1978) Bubbles, drops, and particles. Academic Press Inc, London

    Google Scholar 

  • Delnoij E, Kuipers JAM, Swaaij WPM, Westerweel J (2000) Measurement of gas-liquid two-phase flow in bubble columns using ensemble correlation PIV. Chem Eng Sci 55:3385–3395

    Article  Google Scholar 

  • Ellingsen K, Risso F (2001) On the rise of an ellipsoidal bubble in water: oscillatory paths and liquid-induced velocity. J Fluid Mech 440:235–268

    Article  MATH  Google Scholar 

  • Fujiwara A, Minato D, Hishida K (2004) Effect of bubble diameter on modification of turbulence in an upward pipe flow. Int J Heat Fluid Flow 25:481–488

    Article  Google Scholar 

  • Gonzalez RC, Woods RE, Eddins SL (2011) Digital image processing using MATLAB, 2nd edn. McGraw-Hill Education, Gatesmark

    Google Scholar 

  • Gore RA, Crowe CT (1989) Effect of particle size on modulating turbulent intensity. Int J Multiph Flow 15:279–285

    Article  Google Scholar 

  • Hosokawa S, Tomiyama A (2004) Turbulence modification in gas–liquid and solid–liquid dispersed two-phase pipe flows. Int J Heat Fluid Flow 25:489–498

    Article  Google Scholar 

  • Hosokawa S, Tomiyama A (2013) Bubble-induced pseudo turbulence in laminar pipe flows. Int J Heat Fluid Flow 40:97–105

    Article  Google Scholar 

  • Ishii M, Zuber N (1979) Drag coefficient and relative velocity in bubbly, droplet or particulate flows. AIChE J 25:843–855

    Article  Google Scholar 

  • Jeong H, Park H (2015) Near-wall rising behaviour of a deformable bubble at high Reynolds number. J Fluid Mech 771:564–594

    Article  Google Scholar 

  • Kashinsky ON, Timkin LS, Cartellier A (1993) Experimental study of “laminar” bubbly flows in a vertical pipe. Exp Fluids 14:308–314

    Google Scholar 

  • Kays WM, Crawford ME (1993) Convective heat and mass transfer, 3rd edn. McGraw-Hill Education, New York

    Google Scholar 

  • Lance M, Bataille J (1991) Turbulence in the liquid phase of a uniform bubbly air-water flow. J Fluid Mech 222:95–118

    Article  Google Scholar 

  • Lau YM, Deen NG, Kuipers JAM (2013) Development of an image measurement technique for size distribution in dense bubbly flows. Chem Eng Sci 94:20–29

    Article  Google Scholar 

  • Lawson NJ, Rudman M, Guerra A, Liow J-L (1999) Experimental and numerical comparisons of the break-up of a large bubble. Exp Fluids 26:524–534

    Article  Google Scholar 

  • Lindken R, Merzkirch W (2002) A novel PIV technique for measurements in multiphase flows and its application to two-phase bubbly flows. Exp Fluids 33:814–825

    Article  Google Scholar 

  • Liu TJ, Bankoff SG (1993) Structure of air-water bubbly flow in a vertical pipe—I. Liquid mean velocity and turbulence measurements. Int J Heat Mass Transf 36:1049–1060

    Article  Google Scholar 

  • Liu Z, Zheng Y, Jia L, Zhang Q (2005) Study of bubble induced flow structure using PIV. Chem Eng Sci 60:3537–3552

    Article  Google Scholar 

  • Lu J, Biswas S, Tryggvason G (2006) A DNS study of laminar bubbly flows in a vertical channel. Int J Multiph Flow 32:643–660

    Article  MATH  Google Scholar 

  • Luo R, Pan XH, Yang XY (2003) Laminar light particle and liquid two-phase flows in a vertical pipe. Int J Multiph Flow 29:603–620

    Article  MATH  Google Scholar 

  • Martínez-Mercado J, Palacios-Morales CA, Zenit R (2007) Measurement of pseudoturbulence intensity in monodispersed bubbly liquids for 10 < Re < 500. Phys Fluids 19:103302

    Article  MATH  Google Scholar 

  • Michiyoshi I, Serizawa A (1986) Turbulence in two-phase bubbly flow. Nucl Eng Des 95:253–267

    Article  Google Scholar 

  • Otsu N (1979) A threshold selection method from gray-level histograms. IEEE Trans Syst Man Cybern 9:62–66

    Article  Google Scholar 

  • Pang M, Wei J (2013) Experimental investigation on the turbulence channel flow laden with small bubbles by PIV. Chem Eng Sci 94:302–315

    Article  Google Scholar 

  • Rensen J, Luther S, Lohse D (2005) The effect of bubbles on developed turbulence. J Fluid Mech 538:153–187

    Article  MATH  Google Scholar 

  • Riboux G, Legendre D, Risso F (2013) A model of bubble-induced turbulence based on large-scale wake interactions. J Fluid Mech 719:362–387

    Article  MathSciNet  MATH  Google Scholar 

  • Riboux G, Risso F, Legendre D (2010) Experimental characterization of the agitation generated by bubbles rising at high Reynolds number. J Fluid Mech 643:509–539

    Article  MATH  Google Scholar 

  • Risso F, Ellingsen K (2002) Velocity fluctuations in a homogeneous dilute dispersion of high-Reynolds-number rising bubbles. J Fluid Mech 453:395–410

    Article  MATH  Google Scholar 

  • Sathe MJ, Thaker IH, Strand TE, Joshi JB (2010) Advanced PIV/LIF and shadowgraphy system to visualize flow structure in two-phase bubbly flows. Chem Eng Sci 65:2431–2442

    Article  Google Scholar 

  • Sato Y, Sekoguchi K (1975) Liquid velocity distribution in two-phase bubble flow. Int J Multiph Flow 2:79–95

    Article  MATH  Google Scholar 

  • Serizawa A, Kataoka I, Michiyoshi I (1975) Turbulence structure of air-water bubbly flow—II. Local properties. Int J Multiph Flow 2:235–246

    Article  Google Scholar 

  • Shawkat ME, Ching CY, Shoukri M (2008) Bubble and liquid turbulence characteristics of bubbly flow in a large diameter vertical pipe. Int J Multiph Flow 34:767–785

    Article  Google Scholar 

  • So S, Morikita H, Takagi S, Matsumoto Y (2002) Laser Doppler velocimetry measurement of turbulent bubbly channel flow. Exp Fluids 33:135–142

    Article  Google Scholar 

  • Song Q, Luo R, Yang XY, Wang Z (2001) Phase distributions for upward laminar dilute bubbly flows with non-uniform bubble sizes in a vertical pipe. Int J Multiph Flow 27:379–390

    Article  MATH  Google Scholar 

  • Theofanous TG, Sullivan J (1982) Turbulence in two-phase dispersed flows. J Fluid Mech 116:343–362

    Article  Google Scholar 

  • Tryggvason G, Lu J (2015) Direct numerical simulations of bubbly flows. Mech Eng Rev 2:00220

    Article  Google Scholar 

  • Uno S, Kintner RC (1956) Effect of wall proximity on the rate of rise of single air bubbles in a quiescent liquid. AIChE J 2:420–425

    Article  Google Scholar 

  • Wang SK, Lee SJ, Jones OC Jr, Lahey RT Jr (1987) 3-D turbulence structure and phase distribution measurements in bubbly two-phase flows. Int J Multiph Flow 13:327–343

    Article  Google Scholar 

  • Westerweel J, Draad AA, van der Hoeven JGT, van Oord J (1996) Measurement of fully-developed turbulent pipe flow with digital particle image velocimetry. Exp Fluids 20:165–177

    Article  Google Scholar 

  • Zhou X, Doup B, Sun X (2013) Measurements of liquid-phase turbulence in gas-liquid two-phase flows using particle image velocimetry. Meas Sci Technol 24:125303

    Article  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Research Foundation of Korea (NRF) Grant funded by the Korea government (MSIP) (NRF-2012M2A8A4055647, NRF-2013R1A1A1008373) via SNU-IAMD, and the Aspiring Researcher Program through Seoul National University (SNU) in 2014, Korea.

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Authors and Affiliations

  1. Department of Mechanical & Aerospace Engineering, Seoul National University, Seoul, 08826, Korea

    Minki Kim, Jun Ho Lee & Hyungmin Park

  2. Institute of Advanced Machines and Design, Seoul National University, Seoul, 08826, Korea

    Hyungmin Park

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  1. Minki Kim
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  2. Jun Ho Lee
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  3. Hyungmin Park
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Correspondence to Hyungmin Park.

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Kim, M., Lee, J.H. & Park, H. Study of bubble-induced turbulence in upward laminar bubbly pipe flows measured with a two-phase particle image velocimetry. Exp Fluids 57, 55 (2016). https://doi.org/10.1007/s00348-016-2144-6

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  • DOI: https://doi.org/10.1007/s00348-016-2144-6

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