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Abstract

The bubbly flow is an important flow pattern in fluids engineering. A variety of bubbly flows have been witnessed so far; bubble size and bubble volume fraction are two factors that affect the appearance of the bubbly flow. In consideration of the shortage of numerical simulation in the presence of bubbly flows, the supplement of the knowledge of bubbly flows depends heavily on the advancement and application of measurement techniques. Another point associated with bubbly flows lies in that many conclusions obtained are associated with certain experiment rig or specific engineering application and are therefore difficult to generalize. In this section, two cases relevant to the bubble trapped in liquid are presented. One is the rising bubble in stationary water and the other is the bubble released in horizontal water flow. Experimental techniques, in conjunction with developed image-processing code, are used. Geometric and motion quantities of bubble are adopted to describe the bubble characteristics.

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References

  1. Srinoi P, Sato K. Controllable air-bubbles size generator performance with swirl flow. Eng Technol Appl Sci Res. 2015;8(4):245–249.

    Google Scholar 

  2. Onoe K, Wada Y, Matsumoto M. Fascination and engineering application of reaction field utilizing fine bubbles. Jpn J Multiph Flow. 2016;30(1):27–36.

    Article  Google Scholar 

  3. Nagami Y, Saito T. An experimental study of the modulation of the bubble motion by gas–liquid-phase Interaction in oscillating-grid decaying turbulence. Flow Turbul Combust. 2014;92(1):147–174.

    Article  Google Scholar 

  4. Mikaeliana D, Larcya A, Cockxb A, Wylocka C, Haut B. Dynamics and morphology of single ellipsoidal bubbles in liquids. Exp Thermal Fluid Sci. 2015;64:1–12.

    Article  Google Scholar 

  5. Hua J. CFD simulations of the effects of small dispersed bubbles on the rising of a single large bubble in 2D vertical channels. Chem Eng Sci. 2015;123:99–115.

    Article  Google Scholar 

  6. Böhm L, Brehmer M, Kraume M. Comparison of the single bubble ascent in a newtonian and a non-newtonian liquid: a phenomenological PIV study. Chem Ing Tec. 2016;88(1–2):93–106.

    Article  Google Scholar 

  7. Valiorgue P, Souzy N, El Hajem M, Hadid HB, Simoëns S. Concentration measurement in the wake of a free rising bubble using planar laser-induced fluorescence (PLIF) with a calibration taking into account fluorescence extinction variations. Exp Fluids. 2014;55(4):1–2.

    Article  Google Scholar 

  8. Huang J, Saito T. Influence of bubble-surface contamination on instantaneous mass transfer. Chem Eng Technol. 2015;38(11):1947–1954.

    Article  Google Scholar 

  9. Yoshida K, Morioka S, Kagawa Y, Koyama D, Watanabe Y. Power-law dependence describing subharmonic generation from a non-spherically oscillating bubble. Acoust Sci Technol. 2015;36(3):191–200.

    Article  Google Scholar 

  10. Dehaeck S, van Beeck JPAJ, Riethmuller ML. Extended glare point velocimetry and sizing for bubbly flows. Exp Fluids. 2005;39(2):407–419.

    Article  Google Scholar 

  11. Akhmetbekov YK, Alekseenko SV, Dulin VM, Markovich DM, Pervunin KS. Planar fluorescence for round bubble imaging and its application for the study of an axisymmetric two-phase jet. Exp Fluids. 2010;48(4):615–629.

    Article  Google Scholar 

  12. Wu MM, Gharib M. Experimental studies on the shape and path of small air bubbles rising in clean water. Phys Fluids. 2002;14(7):L49–52.

    Article  MATH  Google Scholar 

  13. Liu L, Yan H, Zhao G. Experimental studies on the shape and motion of air bubbles in viscous liquids. Exp Thermal Fluid Sci. 2015;62:109–121.

    Article  Google Scholar 

  14. Brücker C. Structure and dynamics of the wake of bubbles and its relevance for bubble interaction. Phys Fluids. 1999;11(7):1781–1796.

    Article  MathSciNet  MATH  Google Scholar 

  15. Cano-Lozano JC, Bohorquez P, Martínez-Bazán C. Wake instability of a fixed axisymmetric bubble of realistic shape. Int J Multiph Flow. 2013;51(51):11–21.

    Article  Google Scholar 

  16. Zawala J, Wiertel A, Niecikowska A, Małysa K. Influence of external vibrations on bubble coalescence time at water and oil surfaces-Experiments and modelling. Colloids Surf A Physicochem Eng Aspects. 2017;519:137–145.

    Article  Google Scholar 

  17. Maldonado M, Quinn J, Gómez CO, Finch JA. An experimental study examining the relationship between bubble shape and rise velocity. Chem Eng Sci. 2013;98(29):7–11.

    Article  Google Scholar 

  18. Ortiz-Villafuerte J, Schmidl WD, Hassan YA. Three-dimensional PIV measurements of bubble drag and lift coefficients in restricted media. Rev Mex Fís. 2013;59:444–452.

    Google Scholar 

  19. Quinn J, Maldonado M, Gómez CO, Finch JA. Experimental study on the shape–velocity relationship of an ellipsoidal bubble in inorganic salt solutions. Miner Eng. 2014;55(1):5–10.

    Article  Google Scholar 

  20. Wang D, Zhang X, Wang J, Koide T. Effect of small amount of water on CO2 bubble behavior in ionic liquid systems. Ind Eng Chem Res. 2014;53(1):428–439.

    Article  Google Scholar 

  21. Okawa T, Tanaka T, Kataoka I, Mori M. Temperature effect on single bubble rise characteristics in stagnant distilled water. Int J Heat Mass Transf. 2003;46(5):903–913.

    Article  Google Scholar 

  22. Laqua K, Malone K, Hoffmann M, Krause D, Schlüter M. Methane bubble rise velocities under deep-sea conditions-influence of initial shape deformation. Colloids Surf A Physicochem Eng Aspects. 2016;505:106–117.

    Article  Google Scholar 

  23. Celata GP, Cumo M, D’Annibale F, Di Marco P, Tomiyama A, Zovini C. Effect of gas injection mode and purity of liquid on bubble rising in two-component systems. Exp Thermal Fluid Sci. 2006;31(1):37–53.

    Article  Google Scholar 

  24. Mulgrew B, Grant PJ, Thompson J. Digital signal processing: concepts and applications. Palgrave Macmillan; 2002.

    Google Scholar 

  25. Rahnama M, Gloaguen R. TecLines: a MATLAB-based toolbox for tectonic lineament analysis from satellite images and DEMs, part 2: line segments linking and merging. Remote Sens. 2014;6(11):11468–11493.

    Article  Google Scholar 

  26. Meher SK. Recursive and noise-exclusive fuzzy switching median filter for impulse noise reduction. Eng Appl Artif Intell. 2014;30(3):145–154.

    Article  Google Scholar 

  27. Ding L, Goshtasby A. On the Canny edge detector. Pattern Recogn. 2001;34(3):721–725.

    Article  MATH  Google Scholar 

  28. Bongiovanni C, Chevaillier JP, Fabre J. Sizing of bubbles by incoherent imaging: defocus bias. Exp Fluids. 1997;23:209–216.

    Article  Google Scholar 

  29. Dehaeck S, Van Parys H, Hubin A, van Beeck JPAJ. Laser marked shadowgraphy: a novel optical planar technique for the study of microbubbles and droplets. Exp Fluids. 2009;47:333–341.

    Article  Google Scholar 

  30. Celata GP, D’Annibale F, Di Marco P, Memoli G, Tomiyama A. Measurements of rising velocity of a small bubble in a stagnant fluid in one- and two-component systems. Exp Thermal Fluid Sci. 2007;31(6):609–623.

    Article  Google Scholar 

  31. Zhang AM, Cui P, Cui J, Wang QX. Experimental study on bubble dynamics subject to buoyancy. J Fluid Mech. 2015;776:137–160.

    Article  Google Scholar 

  32. Zhang AM, Cui P, Wang Y. Experiments on bubble dynamics between a free surface and a rigid wall. Exp Fluids. 2013;54(10):1–18.

    Article  Google Scholar 

  33. Dukhin SS, Kovalchuk V, Gochev G, Lotfi M, Krzan M, Malysa K, Miller R. Dynamics of rear stagnant cap formation at the surface of spherical bubbles rising in surfactant solutions at large Reynolds numbers under conditions of small Marangoni number and slow sorption kinetics. Adv Colloid Interface Sci. 2015;222:260–274.

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

  35. Das D. Study of air bubble injection into laminar and turbulent water flow through an annular test section. CUNY City College; 2012.

    Google Scholar 

  36. Tomiyama A, Kataoka I, Zun I, Sakaguchi T. Drag coefficients of single bubbles under normal and micro gravity conditions. JSME Int J Ser B Fluids Thermal Eng. 1998;41(2):472–489.

    Article  Google Scholar 

  37. Mendelson HD. The prediction of bubble terminal velocities from wave theory. AIChE J. 2010;13(2):250–253.

    Article  Google Scholar 

  38. Tomiyama A, Celata GP, Hosokawa S, Yoshida S. Terminal velocity of single bubbles in surface tension force dominant regime. Int J Multiph Flow. 2002;28(9):1497–1519.

    Article  MATH  Google Scholar 

  39. Mikaelian D, Larcy A, Dehaeck S, Haut B. A new experimental method to analyze the dynamics and the morphology of bubbles in liquids: application to single ellipsoidal bubbles. Chem Eng Sci. 2013;100(3):529–538.

    Article  Google Scholar 

  40. Aoyama S, Hayashi K, Hosokawa S, Tomiyama A. Shapes of ellipsoidal bubbles in infinite stagnant liquids. Int J Multiph Flow. 2016;79(15):23–30.

    Article  MathSciNet  Google Scholar 

  41. Moore DW. The velocity of rise of distorted gas bubbles in a liquid of small viscosity. J Fluid Mech. 1965;23(4):749–766.

    Article  Google Scholar 

  42. Taylor TD, Acrivos A. On the deformation and drag of a falling viscous drop at low Reynolds number. J Fluid Mech. 1964;18(3):466–476.

    Article  MathSciNet  MATH  Google Scholar 

  43. Sugihara K, Sanada T, Shirota M, et al. Behavior of single rising bubbles in superpurified water. Kagaku Kogaku Ronbunshu. 2007;33(5):402–408.

    Article  Google Scholar 

  44. Tadaki T, Maeda S. On the shape and velocity of single air bubbles rising in various liquids. Soc Chem Eng. 1961;25(4):254–264.

    Article  Google Scholar 

  45. Myint W, Hosokawa S, Tomiyama A. Shapes of single drops rising through stagnant liquids. J Fluid Sci Technol. 2007;2(2):184–195.

    Article  Google Scholar 

  46. Grace JR, Wairegi T, Nguyen TH. Shapes and velocities of single drops and bubbles moving freely through immiscible liquids. Chem Eng Res Des. 1976;54(3):167–173.

    Google Scholar 

  47. Navisa J, Sravya T, Swetha M, Venkatesan M. Effect of bubble size on aeration process. Asian J Sci Res. 2014;7(4):482–487.

    Article  Google Scholar 

  48. Müller-Fischer N, Tobler P, Dressler M, Fischer P, Windhab EJ. Single bubble deformation and breakup in simple shear flow. Exp Fluids. 2008;45:917–926.

    Article  Google Scholar 

  49. Yamaguchi T, Iguchi M, Uemura T. Behavior of a small single bubble rising in a rotating flow field. Exp Mech. 2004;44:533–540.

    Article  Google Scholar 

  50. Balzán MA, Sanders RS, Fleck BA. Bubble formation regimes during gas injection into a liquid cross flow in a conduit. Can J Chem Eng. 2017;95:372–385.

    Article  Google Scholar 

  51. Ravelet F, Colin C, Risso F. On the dynamics and breakup of a bubble rising in a turbulent flow. Phys Fluids. 2011;23:103301.

    Article  Google Scholar 

  52. Chen XP, Shao DC. Measuring bubble size in aerated flow. J Hydrodyn Ser B. 2006;18:470–474.

    Article  Google Scholar 

  53. Yapa PD, Dasanayaka LK, Bandara UC, Nakata K. A model to simulate the transport and fate of gas and hydrates released in deepwater. J Hydraul Res. 2010;48(5):559–572.

    Article  Google Scholar 

  54. Xu Y, Ersson M, Jönsson PG. A Mathematical modeling study of bubble formations in a molten steel bath. Metall Mater Trans B. 2015;46B:2628–2638.

    Article  Google Scholar 

  55. Zhang W, Zhu DZ. Trajectories of air-water bubbly jets in crossflows. J Hydraul Eng. 2014;140:06014011.

    Article  Google Scholar 

  56. Liu C, Liang B, Tang S, Zhang H, Min E. A theoretical model for the size prediction of single bubbles formed under liquid cross-flow. Chin J Chem Eng. 2010;18:770–776.

    Article  Google Scholar 

  57. Zhang W, Zhu DZ. Bubble characteristics of air–water bubbly jets in crossflow. Int J Multiph Flow. 2013;55:156–171.

    Article  Google Scholar 

  58. Kang C, Zhang W, Yiping G, Mao N. Bubble size and flow characteristics of bubbly flow downstream of a ventilated cylinder. Chem Eng Res Des. 2017;122:263–272.

    Article  Google Scholar 

  59. Martínez-bazán C, Montañés JL, Lasheras JC. On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency. J Fluid Mech. 1999;401:157–182.

    Article  MATH  Google Scholar 

  60. Baylar A, Ozkan F, Unsal M. Effect of air inlet hole diameter of venturi tube on air injection rate. KSCE J Civ Eng. 2010;14:489–492.

    Article  Google Scholar 

  61. Wei W, Deng J, Zhang F, Tian Z. A numerical model for air concentration distribution in self-aerated open channel flows. J Hydrodyn Ser B. 2015;27:394–402.

    Article  Google Scholar 

  62. Ding L, Goshtasby A. On the Canny edge detector. Pattern Recogn. 2001;34:721–725.

    Article  MATH  Google Scholar 

  63. Jobehdar MH, Gadallah AH, Siddiqui K, Chishty WA. Investigation of the bubble formation in liquid cross-flow using a novel nozzle design. In: Proceedings of the ASME 2013 fluids engineering division summer meeting; 2013 July 7–11, Nevada, USA.

    Google Scholar 

  64. Katoh K, Arii Y, Wakimoto T. Bubble formation from an air jet injected into a turbulent boundary layer. J Fluid Sci Technol. 2011;6(4):528–541.

    Article  Google Scholar 

  65. Zhang X, Dong H, Bao D, Huang Y, Zhang X, Zhang S. Effect of small amount of water on CO2 bubble behavior in ionic liquid systems. Ind Eng Chem Res. 2014;53:428–439.

    Article  Google Scholar 

  66. Wang B, Socolofsky SA. On the bubble rise velocity of a continually released bubble chain in still water and with crossflow. Phys Fluids. 2015;27:103301.

    Article  Google Scholar 

  67. Ghaemi S, Rahimi P, Nobes DS. The effect of gas-injector location on bubble formation in liquid cross flow. Phys Fluids. 2010;22:043305.

    Article  MATH  Google Scholar 

  68. Tomiyama A, Celata GP, Hosokawa S, Yoshida S. Terminal velocity of single bubbles in surface tension force dominant regime. Int J Multiph Flow. 2002;28:1497–1519.

    Article  MATH  Google Scholar 

  69. Mikaelian D, Larcy A, Dehaeck S, Haut B. A new experimental method to analyze the dynamics and the morphology of bubbles in liquids: application to single ellipsoidal bubbles. Chem Eng Sci. 2013;100:529–538.

    Article  Google Scholar 

  70. Dong H, Wang X, Liu L, Zhang X, Zhang S. The rise and deformation of a single bubble in ionic liquids. Chem Eng Sci. 2010;65:3240–3248.

    Article  Google Scholar 

  71. Okawa T, Tanaka T, Kataoka I. Temperature effect on single bubble rise characteristics in stagnant distilled water. Int J Heat Mass Transf. 2003;46:903–913.

    Article  Google Scholar 

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Kang, C., Liu, H., Mao, N., Zhang, Y. (2019). Motion of Bubble. In: Methods for Solving Complex Problems in Fluids Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-2649-3_4

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  • DOI: https://doi.org/10.1007/978-981-13-2649-3_4

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