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Review Article

Vapor Bubble Formation, Forces, and Induced Vibration: A Review

[+] Author and Article Information
Manoj Kumar Gupta

Institute for Plasma Research,
Gandhinagar 382016, India;
Mechanical Engineering Department,
Institute of Technology Nirma University,
Ahmedabad 382481, India

Dharmendra S. Sharma

Mechanical Engineering Department,
Faculty of Technology and Engineering,
M.S. University,
Vadodara 390001, India
e-mail: dss_iit@yahoo.com

Vikas J. Lakhera

Mechanical Engineering Department,
Institute of Technology Nirma University,
Ahmedabad 382481, India

1Corresponding author.

Manuscript received November 23, 2015; final manuscript received May 13, 2016; published online June 10, 2016. Assoc. Editor: Gianluca Iaccarino.

Appl. Mech. Rev 68(3), 030801 (Jun 10, 2016) (12 pages) Paper No: AMR-15-1131; doi: 10.1115/1.4033622 History: Received November 23, 2015; Revised May 13, 2016

Bubble-induced vibration has become vital during recent investigation and advancement in the area of multiphase boiling. The induced vibration phenomenon can be understood with the help of proper and detailed understanding of vapor bubble formation, growth, collapse, and interaction with the surface. The growth mechanism for the formation of bubbles under nucleate boiling conditions is theoretically investigated. This paper also discusses the dynamics of vapor bubbles during flow in subcooled boiling conditions. In the part of the vapor bubble formation, the characteristics of a bubble emerged from the heated surface at a single nucleation site along with the flow boiling phenomena have been considered for analysis. The bubble is considered to be of spherical shape and detached from a heated surface due to the formation of a microlayer of liquid. The fluid is supposed to be static far away from a vapor bubble. Using well-known models of bubble formation and detachment, equations considering various forces acting over a single bubble have been derived. These equations monitor bubble characteristics in a definite manner according to the derived differential equation for energy conservation developed for the two-phase flow system. To illustrate this phenomenon, two bubble formation mechanisms, inertia-controlled and heat transfer-controlled growth have been considered. The present investigation discusses the governing equations for the bubble growth rate, bubble size and frequency, forces, and the well-known Rayleigh's equation. Also, the vibration characteristic has been reviewed, and the two phenomena, i.e., subcooled boiling induced vibration (SBIV) and flow-induced vibration (FIV) have been discussed in brief. The present review paper aims to reveal the latest evaluation done in the area of bubble-induced vibration and to ascertain the contributions made until now as well as the solution to the upcoming issues.

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Copyright © 2016 by ASME
Topics: Vapors , Bubbles , Vibration
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References

Blackburn, J. K. , 1997, The Laser Interferometer Gravitational-Wave Observatory Project LIGO, Vol. 41, Banach Center Publications, Warsaw, Poland, pp. 95–135.
Smallman, R. E. , and Bishop, R. J. , 1999, Modern Physical Metallurgy and Materials Engineering, Butterworth-Heinemann, Oxford, UK.
Hemmingsen, E. A. , 1975, “ Cavitation in Gas-Supersaturated Solutions,” J. Appl. Phys., 46, p. 213. [CrossRef]
Gerth, W. A. , and Hemmingsen, E. A. , 1976, “ Gas Supersaturation Thresholds for Spontaneous Cavitation in Water With Gas Equilibration Pressures Upto 570 atm,” J. Phys. Sci. A, 31, pp. 1711–1716.
Hemmingsen, E. A. , 1977, “ Spontaneous Formation of Bubble in Gas Supersaturated Water,” Nature (London), 267(5607), pp. 141–142. [CrossRef]
Hemmingsen, E. A. , 1978, “ Effects of Surfactants and Electrolytes on the Nucleation of Bubbles in Gas-Supersaturated Solutions,” Z. Naturforsch., 33A, pp. 164–171.
Cole, R. , 1974, “ Boiling Nucleation,” Adv. Heat Transfer, 10, pp. 85–166.
Blander, M. , 1979, “ Bubble Nucleation in Liquids,” Adv. Colloid Interface Sci., 10(1), pp. 1–32. [CrossRef]
Li, J. , Peterson, G. P. , and Cheng, P. , 2005, “ Mechanical Non-Equilibrium Considerations in Homogeneous Bubble Nucleation for Unsteady-State Boiling,” Int. J. Heat Mass Transfer, 48(15), pp. 3081–3096. [CrossRef]
Oxtoby, D. W. , 1992, “ Homogeneous Nucleation: Theory and Experiment,” J. Phys.: Condens. Matter, 4(38), pp. 7626–7650. [CrossRef]
Jones, S. F. , Evans, G. M. , and Galvin, K. P. , 1999, “ The Cycle of Bubble Production From a Gas Cavity in a Supersaturated Solution,” Adv. Colloid Interface Sci., 80(1), pp. 51–84. [CrossRef]
Bon, B. , Guan, C.-K. , and Klausner, J. F. , 2011, “ Heterogeneous Nucleation on Ultra-Smooth Surfaces,” Exp. Therm. Fluid Sci., 35(5), pp.746–752. [CrossRef]
Gerth, W. A. , and Hemmingsen, E. A. , 1980, “ Heterogeneous Nucleation of Bubbles at Solid Surfaces in Gas-Supersaturated Aqueous Solutions,” J. Colloid Interface Sci., 74(1), pp. 80–89. [CrossRef]
Li, J. , and Cheng, P. , 2004, “ Bubble Cavitation in a Microchannel,” Int. J. Heat Mass Transfer, 47(12–13), pp. 2689–2698. [CrossRef]
Chung, J. N. , Chen, T. , and Maroo, S. C. , 2011, “ A Review of Recent Progress on Nano/Micro Scale Nucleate Boiling Fundamentals,” Front. Heat Mass Transfer, 2, p. 023004. [CrossRef]
Tenner, A. G. , 1963 “ Nucleation in Bubble Chambers,” Nucl. Instrum. Methods, 22, pp. 1–42. [CrossRef]
Kwak, H.-Y. , and Oh, S.-D. , 2004, “ Gas–Vapor Bubble Nucleation—A Unified Approach,” J. Colloid Interface Sci., 278(2), pp. 436–446. [CrossRef] [PubMed]
Siedel, S. , Cioulachtjian, S. , and Bonjour, J. , 2008, “ Experimental Analysis of Bubble Growth, Departure and Interactions During Pool Boiling on Artificial Nucleation Sites,” Exp. Therm. Fluid Sci., 32(8), pp. 1504–1511. [CrossRef]
Han, C.-Y. , and Griffith, P. , 1962, “ The Mechanism of Heat Transfer in Nucleate Pool Boiling,” Int. J. Heat Mass Transfer, 8(6), pp. 887–904.
Papadopoulou, V. , Tang, M.-X. , Balestra, C. , Eckersley, R. J. , and Karapantsios, T. D. , 2014, “ Circulatory Bubble Dynamics: From Physical to Biological Aspects,” Adv. Colloid Interface Sci., 206, pp. 239–249. [CrossRef] [PubMed]
Jiang, Y. Y. , Osada, H. , Inagaki, M. , and Horinouchi, N. , 2013, “ Dynamic Modeling on Bubble Growth, Detachment and Heat Transfer for Hybrid-Scheme Computations of Nucleate Boiling,” Int. J. Heat Mass Transfer, 56(1–2), pp. 640–652. [CrossRef]
Prosperetti, A. , and Plesset, S. M. , 1977, “ Vapor-Bubble Growth in a Superheated Liquid,” Annu. Rev. Fluid Mech., 9(1), pp. 145–185. [CrossRef]
Haider, S. I. , and Webb, R. L. , 1997, “ A Transient Micro-Convection Model of Nucleate Pool Boiling,” Int. J. Heat Mass Transfer, 40(15), pp. 3675–3688. [CrossRef]
Dempster, W. M. , and Arebi, B. , 2001, “ Experimental Characteristics of Steam Bubble Growth at Orifices in Sub-Cooled Liquid,” Int. Commun. Heat Mass Transfer, 28(4), pp. 467–477. [CrossRef]
Kandlikar, S. G. , 2006, “ Nucleation Characteristics and Stability Considerations During Flow Boiling in Microchannels,” Exp. Therm. Fluid Sci., 30(5), pp. 441–447. [CrossRef]
Mukherjee, A. , Kandlikar, S. G. , and Edel, Z. J. , 2011, “ Numerical Study of Bubble Growth and Wall Heat Transfer During Flow Boiling in a Microchannel,” Int. J. Heat Mass Transfer, 54(15–16), pp. 3702–3718. [CrossRef]
Yin, L. , and Jia, L. , 2016, “ Confined Bubble Growth and Heat Transfer Characteristics During Flow Boiling in Microchannel,” Int. J. Heat Mass Transfer, 98(2016), pp. 114–123. [CrossRef]
Yin, L. , and Jia, L. , 2016, “ Confined Characteristics of Bubble During Boiling in Microchannel,” Exp. Therm. Fluid Sci., 74, pp. 247–256. [CrossRef]
Markal, B. , Aydin, O. , and Avci, M. , 2016, “ An Experimental Investigation of Saturated Flow Boiling Heat Transfer and Pressure Drop in Square Microchannels,” Int. J. Refrig., 65, pp. 1–11. [CrossRef]
Markal, B. , Aydin, O. , and Avci, M. , 2016, “ Effect of Aspect Ratio on Saturated Flow Boiling in Microchannels,” Int. J. Heat Mass Transfer, 93, pp. 130–143. [CrossRef]
Pan, Z. , Weibel, J. A. , and Garimella, S. V. , 2016, “ A Saturated-Interface-Volume Phase Change Model for Simulating Flow Boiling,” Int. J. Heat Mass Transfer, 93, pp. 945–956. [CrossRef]
Jafari, R. , and Okutucu-Özyurt, T. , 2015, “ Phase-Field Modeling of Vapor Bubble Growth in a Microchannel,” J. Comput. Multiphase Flows, 7(3), pp. 143–158. [CrossRef]
Bigham, S. , and Moghaddam, S. , 2015, “ Role of Bubble Growth Dynamics on Microscale Heat Transfer Events in Microchannel Flow Boiling Process,” Appl. Phys. Lett., 107(24), p. 244103. [CrossRef]
Bigham, S. , and Moghaddam, S. , 2015, “ Microscale Study of Mechanisms of Heat Transfer During Flow Boiling in a Microchannel,” Int. J. Heat Mass Transfer, 88, pp. 111–121. [CrossRef]
Maurus, R. , Ilchenko, V. , and Sattelmayer, T. , 2002, “ Study of the Bubble Characteristics and the Local Void Fraction in Subcooled Flow Boiling Using Digital Imaging and Analyzing Techniques,” Exp. Therm. Fluid Sci., 26(2–4), pp. 147–155. [CrossRef]
Baltis, C. H. M. , and Vander Geld, C. W. M. , 2015, “ Heat Transfer Mechanisms of a Vapor Bubble Growing at a Wall in Saturated Upward Flow,” J. Fluid Mech., 771, pp. 264–302. [CrossRef]
Zudin, Y. B. , 2015, “ Binary Schemes of Vapor Bubble Growth,” J. Eng. Phys. Thermophys., 88(3), pp. 575–586. [CrossRef]
Lord Rayleigh, 1917, “ On the Pressure Developed in a Liquid During the Collapse of a Spherical Cavity,” Philos. Mag., 34(200), pp. 94–98. [CrossRef]
Haosheng, C. , Jiang, L. , Fengbin, L. , Chen, D. , and Jiadao, W. , 2008, “ Experimental Study of Cavitation Damage on Hydrogen-Terminated and Oxygen-Terminated Diamond Film Surfaces,” Wear, 264(1–2), pp. 146–151. [CrossRef]
Hewitt, H. C. , and Parker, J. D. , 1968, “ Bubble Growth and Collapse in Liquid Nitrogen,” ASME J. Heat Transfer, 90(1), pp. 22–26. [CrossRef]
Fu, X. , Zhang, P. , Huang, C. J. , and Wang, R. Z. , 2010, “ Bubble Growth, Departure and the Following Flow Pattern Evolution During Flow Boiling in a Mini-Tube,” Int. J. Heat Mass Transfer, 53(21–22), pp. 4819–4831. [CrossRef]
Li, X. , and Yortsos, Y. C. , 1995, “ Theory of Multiple Bubble Growth in Porous Media by Solute Diffusion,” Chem. Eng. Sci., 50(8), pp. 1247–1271. [CrossRef]
Hsu, Y. Y. , 1962, “ On the Size Range of Active Nucleation Cavities on Heating Surface,” ASME J. Heat Transfer, 84(3), pp. 207–216. [CrossRef]
Kenning, D. B. R. , 2011, “ Nucleate Boiling,” Thermopedia, epub.
Best, R. , Burow, P. , and Beer, H. , 1975, “ The Warmeubertrangung on Boiling Under the Influence Hydrodynamic Shear Precedent,” Int. J. Heat Mass Transfer, 18(9), pp. 1037–1047. [CrossRef]
Lesage, F. J. , Siedel, S. , Cotton, J. S. , and Robinson, A. J. , 2014, “ A Mathematical Model for Predicting Bubble Growth for Low Bond and Jakob Number Nucleate Boiling,” Chem. Eng. Sci., 112, pp. 35–46. [CrossRef]
Kim, J. , and Hwan, K. M. , 2006, “ On the Departure Behaviors of Bubble at Nucleate Pool Boiling,” Int. J. Multiphase Flow, 32(10–11), pp. 1269–1286 . [CrossRef]
Lee, H. S. , and Merte, H., Jr. , 1996, “ Spherical Vapor Bubble Growth in Uniformly Superheated Liquids,” Int. J. Heat Mass Transfer, 39(12), pp. 2427–2447. [CrossRef]
Divinis, N. , Kostoglou, M. , Karapantsios, T. D. , and Bontozoglou, V. , 2005, “ Self-Similar Growth of a Gas Bubble Induced by Localized Heating: The Effect of Temperature-Dependent Transport Properties,” Chem. Eng. Sci., 60(6), pp. 1673–1683. [CrossRef]
Divinis, N. , Karapantsios, T. D. , de Bruijn, R. , Kostoglou Bontozoglou, M. V. , and Legros, J. C. , 2006, “ Bubble Dynamics During Degassing of Liquids at Microgravity Conditions,” AIChE J., 52(9), pp. 3029–3040. [CrossRef]
Haustein, H. D. , Gany, A. , Dietze, G. F. , Elias, E. , and Kneer, R. , 2013, “ The Dynamics of Bubble Growth at Medium-High Superheat: Boiling in an Infinite Medium and on a Wall,” ASME J. Heat Transfer, 135(7), p. 071501. [CrossRef]
Robinson, A. J. , and Judd, R. L. , 2001, “ Bubble Growth in a Uniform and Spatially Distributed Temperature Field,” Int. J. Heat Mass Transfer, 44(14), pp. 2699–2710. [CrossRef]
Plesset, M. S. , and Zwick, S. A. , 1954, “ The Growth of Vapor Bubble in Superheated Liquid,” J. Appl. Phys., 25(4), pp. 493–500. [CrossRef]
Dergarabedian, P. , 1953, “ The Rate of Growth of Vapor Bubbles in Superheated Water,” ASME J. Appl. Mech., 20, pp. 537–545.
Forster, H. K. , and Zuber, N. , 1954, “ Growth of a Vapor Bubble in a Superheated Liquid,” J. Appl. Phys. 25(4), pp. 474–478. [CrossRef]
Birkhoff, G. , Margulies, R. S. , and Homing, W. A. , 1958, “ Spherical Bubble Growth,” Phys. Fluid, 1(3), pp. 201–204. [CrossRef]
Scriven, L. E. , 1959, “ On the Dynamics of Phase Growth,” Chem. Eng. Sci., 10(1–2), pp. 1–13. [CrossRef]
Kosky, P. G. , 1968, “ Bubble Growth Measurements in Uniformly Superheated Liquids,” Numer. Enyny Sci., 23(7), pp. 695–706.
Florschuetz, L. W. , Henry, C. L. , and Rashid, K. A. , 1969, “ Growth Rates of Free Vapor Bubbles in Liquids at Uniform Superheats Under Normal and Zero Gravity Conditions,” Int. J. Heat Mass Transfer, 12(11), pp. 1465–1489. [CrossRef]
Mikic, B. B. , Rohsenow, W. M. , and Grittith, P. , 1970, “ On Bubble Growth Rate,” Int. J. Heat Mass Transfer, 13(4), pp. 657–666. [CrossRef]
Lien, Y. C. , 1969, “ Bubble Growth Rates at Reduced Pressure,” D.Sc. thesis, MIT, Cambridge, MA.
Bongue-Boma, M. , and Brocato, M. , 2008, “ Liquids With Vapor Bubbles,” Int. J. Comput. Math. Appl., 55(2), pp. 268–284. [CrossRef]
Collier, J. G. , 1972, Convective Boiling and Condensation, McGraw-Hill, New York.
Van Stralen, S. J. D. , 1968, “ The Growth Rate of Vapor Bubbles in Superheated Pure Liquids and Binary Mixtures,” Int. J. Heat Mass Transfer, 11(10), pp. 1467–1489. [CrossRef]
Luke, A. , 2011, “ Interactions Between Bubble Formation and Heating Surface in Nucleate Boiling,” Exp. Therm. Fluid Sci., 35(5), pp. 753–761. [CrossRef]
Zijl, W. , Moalem, D. , and Van Stralen, S. J. D. , 1977, “ Inertia and Diffusion Controlled Bubble Growth and Implosion in Initially Uniform Pure and Binary Systems,” Lett. Heat Mass Transfer, 4(5), pp. 331–339. [CrossRef]
Kim, J. , 2009, “ Review of Nucleate Pool Boiling Bubble Heat Transfer Mechanisms,” Int. J. Multiphase Flow, 35(12), pp. 1067–1076. [CrossRef]
Yoon, H. Y. , Koshizuka, S. , and Oka, Y. , 2001, “ Direct Calculation of Bubble Growth, Departure, and Rise in Nucleate Pool Boiling,” Int. J. Multiphase Flow, 27(2), pp. 277–298. [CrossRef]
Fritz, W. , 1935, “ Maximum Volume of Vapor Bubbles,” Phys. Z., 36, pp. 379–384.
Colombo, M. , and Fairweather, M. , 2015, “ Prediction of Bubble Departure in Forced Convection Boiling: A Mechanistic Model,” Int. J. Heat Mass Transfer, 85, pp. 135–146. [CrossRef]
Van Helden, W. G. J. , Van Der Geld, C. W. M. , and Boot, P. G. M. , 1995, “ Forces on Bubbles Growing and Detaching in Flow Along a Vertical Wall,” Int. J. Heat Mass Transfer, 38(11), pp. 2075–2088. [CrossRef]
Kandilikar, S. G. , Dhir, V. K. , and Shoji, M. , 1999, Handbook of Phase Change: Boiling and Condensation, Taylor and Francis, Philadelphia, PA.
Ivey, H. J. , 1967, “ Relationship Between Bubble Frequency, Departure Diameter and Rise Velocity in Nucleate Boiling,” Int. J. Heat Mass Transfer, 10(8), pp. 1023–1040. [CrossRef]
Malenkov, I. G. , 1971, “ The Frequency of Vapor Bubble Separation as Function of Bubble Size,” Fluid Mech. Sov. Res., 1, pp. 36–42.
Situ, R. , Ishii, M. , Hibiki, T. , Tu, J. Y. , Yeoh, G. H. , and Mori, M. , 2008, “ Bubble Departure Frequency in Forced Convective Subcooled Boiling Flow,” Int. J. Heat Mass Transfer, 51(25–26), pp. 6268–6282. [CrossRef]
Hazi, G. , and Markus, A. , 2009, “ On the Bubble Departure Diameter and Release Frequency Based on Numerical Simulation Results,” Int. J. Heat Mass Transfer, 52(5–6), pp. 1472–1480. [CrossRef]
Jin, T. , Zhang, S. Y. , Tang, K. , and Huang, Y. Z. , 2011, “ Observation and Analysis of the Detachment Frequency of Coalesced Bubbles in Pool Boiling Liquid Nitrogen,” Cryogenics, 51(9), pp. 516–520. [CrossRef]
McFadden, P. W. , and Grassmann, P. , 1962, “ The Relation Between Bubble Frequency and Diameter During Nucleate Pool Boiling,” Int. J. Heat Mass Transfer, 5(3–4), pp. 169–173. [CrossRef]
Buyevich, Y. A. , and Webbon, B. W. , 1996, “ Bubble Formation at a Submerged Orifice in Reduced Gravity,” Chem. Eng. Sci., 51(21), pp. 4843–4857. [CrossRef]
Lucas, D. , Krepper, E. , and Prasser, H. M. , 2007, “ Use of Models for Lift, Wall and Turbulent Dispersion Forces Acting on Bubbles for Poly-Disperse Flows,” Chem. Eng. Sci., 62(15), pp. 4146–4157 . [CrossRef]
Kurose, R. , Misumi, R. , and Komori, S. , 2001, “ Drag and Lift Forces Acting on a Spherical Bubble in a Linear Shear Flow,” Int. J. Multiphase Flow, 27(7), pp. 1247–1258. [CrossRef]
Klausner, J. F. , Mei, R. , Bernhard, D. M. , and Zheng, L. Z. , 1993, “ Vapor Bubble Departure in Forced Convection Boiling,” Int. J. Heat Mass Transfer, 36(3), pp. 651–662. [CrossRef]
Sugioka, K. , and Tsukada, T. , 2015, “ Direct Numerical Simulations of Drag and Lift Forces Acting on a Spherical Bubble Near a Plane Wall,” Int. J. Multiphase Flow, 71, pp. 32–37. [CrossRef]
Dijkhuizen, W. , Van den Hengel, E. I. V. , Deen, N. G. , Van Sint Annaland, M. , and Kuipers, J. A. M. , 2005, “ Numerical Investigation of Closures for Interface Forces Acting on Single Air-Bubbles in Water Using Volume of Fluid and Front Tracking Models,” Chem. Eng. Sci., 60(22), pp. 6169–6175 . [CrossRef]
Sugrue, R. M. , and Buongiorno, J. , 2013, “ A Modified Force-Balance Model for Predicting Bubble Departure Diameter in Subcooled Flow Boiling,” 15th International Topical Meeting on Nuclear Reactor Thermal-Hydraulics, Pisa, Italy, May 12–17.
Yun, B. J. , Splawski, A. , Lo, S. , and Song, C. H. , 2012, “ Prediction of a Subcooled Boiling Flow With Advanced Two-Phase Flow Models,” Nucl. Eng. Des., 253, pp. 351–359. [CrossRef]
Sugrue, R. M. , 2012, “ The Effects of Orientation Angle, Subcooling, Heat Flux, Mass Flux, and Pressure on Bubble Growth and Detachment in Subcooled Flow Boiling,” M.S. thesis, Nuclear Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA.
Nematollahi, M. R. , Toda, S. , and Hashizume, H. , 1998, “ Characteristic Phenomena of Subcooled Flow Boiling Instability,” Sixth International Conference on Nuclear Engineering (ICONE6), San Diego, CA, May 10–14, Paper No. 6403.
Nematollahi, M. R. , Toda, S. , and Hashizume, H. , 1998, “ Vibration Characteristic of Subcooled Flow Boiling Instability,” First European–Japanese Two-Phase Flow Group Meeting and 36th European Two Phase Flow Group Meeting, Portoroz, Slovenia, June 1–5.
Nematollahi, M. R. , Toda, S. , Hashizume, H. , and Yuki, K. , 1999, “ Vibration Characteristic of Heated Rod Induced by Subcooled Flow Boiling,” J. Nucl. Sci. Technol., 36(7), pp. 575–583. [CrossRef]
Bergles, A. E. , 1964, “ In Influence of Flow Vibration on Forced Convection Heat Transfer,” ASME J. Heat Transfer, 86(4), pp. 559–560. [CrossRef]
Takahashi, K. , and Endoh, K. , 1990, “ A New Correlation Method for the Effect of Vibration on Forced-Convection Heat Transfer,” J. Chem. Eng. Jpn., 23(1), pp. 45–50. [CrossRef]
Collier, J. G. , and Thome, J. R. , 1994, Convective Boiling and Condensation, 3rd ed., Oxford University Press, New York, pp. 99–280.
Smirnov, H. F. , Zrodnikov, V. V. , and Boshkova, I. L. , 1997, “ Thermoacoustic Phenomena at Boiling Subcooled Liquid in Channels,” Int. J. Heat Mass Transfer, 40(8), pp. 1977–1983. [CrossRef]
Zhang, P. , Murakami, M. , Wang, R. Z. , and Inaba, H. , 1999, “ Study of Film Boiling in He II by Pressure and Temperature Oscillation Measurements,” Cryogenics, 39(7), pp. 609–615. [CrossRef]
Leonard, A. C. , 1970, “ Helium-2 Noisy Film Boiling and Silent Film Boiling Heat Transfer Coefficient Values,” Third International Cryogenic Engineering Conference (ICEC3), West Berlin, Germany, May 25–27, Vol. 3, pp. 109–114.
Bussieres, P. , and Leonard, A. C. , 1966, “ Noise Associated With Heat Transfer to Liquid Helium II,” Pure & Applied Cryogenics, Vol. 6, Pergamon Press, London, pp. 61–84.
Coulter, D. M. , Leonard, A. C. , and Pike, J. G. , 1968, “ Heat Transport Visualization in Helium II Using Focused Shadowgraph and Schlieren Techniques,” Adv. Cryog. Eng., 13, pp. 640–644.
Eisinger, F. L. , Francis, J. T. , and Sullivan, R. T. , 1996, “ Prediction of Acoustic Vibration in Steam Generator and Heat Exchanger Tube Banks,” ASME J. Pressure Vessel Technol., 118(2), pp. 221–236. [CrossRef]
Blevins, R. D. , 1977, Flow-Induced Vibration, 2nd ed., Van Nostrand Reinhold Press, New York.
Paidoussis, M. P. , 1980, “ Flow-Induced Vibrations in Nuclear Reactors and Heat Exchangers: Practical Experiences and State of Knowledge,” Practical Experiences With Flow-Induced Vibrations, Springer-Verlag, Berlin, pp. 1–81.
Hara, F. , 1975, “ A Theory on the Two-Phase Flow-Induced Vibrations in Piping Systems,” Third International Conference on Structural Mechanics in Reactor Technology, London, UK, Sept. 1–5, Paper No. D2/4.
Liu, Y. , Miwa, S. , Hibiki, T. , Ishii, M. , Kondo, Y. , Morita, H. , and Tanimoto, K. , 2012, “ Experimental Study of Internal Two-Phase Flow Induced Fluctuating Force on a 90° Elbow,” Chem. Eng. Sci., 76, pp. 173–187. [CrossRef]
Miwa, S. , Liu, Y. , Hibiki, T. , Ishii, M. , Kondo, Y. , Morita, H. , and Tanimoto, K. , 2014, “ Study of Unsteady Gas-Liquid Two-Phase Flow Induced Force Fluctuation (Part 2: Horizontal-Downward Two-Phase Flow),” Trans. JSME, 80(811), p. TEP0046 (in Japanese).
Pettigrew, M. J. , and Knowles, G. D. , 1997, “ Some Aspects of Heat Exchanger Tube Damping in Two-Phase Mixture,” J. Fluids Struct., 11(8), pp. 929–945. [CrossRef]
Axisa, F. , Antunes, J. , and Villard, B. , 1990, “ Random Excitation of Heat Exchanger Tubes by Cross-Flows,” J. Fluids Struct., 4(3), pp. 321–341. [CrossRef]
Zhang, C. , Pettigrew, M. J. , and Mureithi, N. W. , 2008, “ Correlation Between Vibration Excitation Forces and the Dynamic Characteristics of Two-Phase Cross Flow in a Rotated Triangular Tube Bundle,” ASME J. Pressure Vessel Technol., 130(1), p. 011301. [CrossRef]
Zhang, C. , Mureithi, N. W. , and Pettigrew, M. J. , 2008, “ Development of Models Correlating Vibration Excitation Forces to Dynamic Characteristics of Two-Phase Flow in a Tube Bundle,” Int. J. Multiphase Flow, 34(11), pp. 1048–1057. [CrossRef]
Akagawa, K. , 1974, Gas-Liquid Two-Phase Flow, Corona Press, Tokyo, Japan.
Ishii, M. , 1977, “ One-Dimensional Drift-Flux Model and Constitutive Equations for Relative Motion Between Phases in Various Two-Phase Flow Regimes,” Argonne National Laboratory, Lemont, IL, Report No. ANL-77-47.
Ishii, M. , and Hibiki, T. , 2011, Thermo-Fluid Dynamics of Two-Phase Flow, Springer, Berlin, Germany.
Wallis, G. , 1969, One-Dimensional Two-Phase Flow, McGraw-Hill, New York.
Rennels, D. C. , and Hudson, H. M. , 2012, Pipe Flow: A Practical and Comprehensive Guide, Wiley, New York.
Charreton, C. , Béguin, C. , Ross, A. , Étienne, S. , and Pettigrew, M. J. , 2015, “ Two-Phase Damping for Internal Flow: Physical Mechanism and Effect of Excitation Parameters,” J. Fluids Struct., 56, pp. 56–74. [CrossRef]
An, M. , Liu, M. , Ma, Y. , and Xu, Y. , 2016, “ Multi-Scale Vibration Behavior of a Graphite Tube With an Internal Vapor-Liquid-Solid Boiling Flow,” Powder Technol., 291, pp. 201–213. [CrossRef]
Goyder, H. G. D. , 2002, “ Flow-Induced Vibration in Heat Exchangers,” Chem. Eng. Res. Design, 80(3), pp. 226–232. [CrossRef]
Pettigrew, M. J. , and Taylor, C. E. , 1994, “ Two-Phase Flow-Induced Vibration: An Overview,” ASME J. Pressure Vessel Technol., 116(3), pp. 233–253. [CrossRef]
Pettigrew, M. J. , Zhang, C. , Mureithi, N. W. , and Pamfil, D. , 2005, “ Detailed Flow and Force Measurements in a Rotated Triangular Tube Bundle Subjected to Two-Phase Cross-Flow,” J. Fluids Struct., 20(4), pp. 567–575. [CrossRef]
Nakamura, T. , Fujita, K. , Kowanishi, N. , Yamaguchi, N. , and Tsuge, A. , 1995, “ Study on the Vibration Characteristics of a Tube Array Caused by Two-Phase Flow, Part 1: Random Vibration,” J. Fluids Struct., 9(5), pp. 519–538. [CrossRef]
Zhang, C. , Pettigrew, M. J. , and Mureithi, N. W. , 2006, “ Quasi-Periodic Vibration Excitation Mechanism Due to Two-Phase Cross Flow in Steam Generator Tube Bundles,” Fifth CNS International Steam Generator Conference, Toronto, ON, Canada, Nov. 26–29.
Zhang, C. , Pettigrew, M. J. , and Mureithi, N. W. , 2007, “ Vibration Excitation Force Measurements in a Rotated Triangular Tube Bundle Subjected to Two-Phase Cross Flow,” ASME J. Pressure Vessel Technol., 129(1), pp. 21–27. [CrossRef]
Feng, C. C. , 1968, “ The Measurement of Vortex-Induced Effects in Flow Past Stationary and Oscillating Circular and D-Section Cylinders,” M.S. thesis, University of British Columbia, Vancouver, BC, Canada.
Cagney, N. , and Balabani, S. , 2013, “ Wake Modes of a Cylinder Undergoing Free Streamwise Vortex-Induced Vibrations,” J. Fluids Struct., 38, pp. 127–145. [CrossRef]
Bearman, P. W. , 2012, “ Circular Cylinder Wakes and Vortex-Induced Vibrations,” J. Fluids Struct., 27(5–6), pp. 648–658.
Wu, X. D. , and Hong, Y. , 2012, “ A Review of Recent Studies on Vortex-Induced Vibrations of Long Slender Cylinders,” J. Fluids Struct., 28, pp. 292–308. [CrossRef]
Shin, Y. S. , and Wambsganss, M. W. , 1977, “ Flow-Induced Vibration in LMFBR Steam Generators: A State-of-the-Art Review,” Nucl. Eng. Des., 40(2), pp. 235–284. [CrossRef]
Lienhard, J. H. , 1966, Synopsis of Lift, Drag, and Vortex Frequency Data for Rigid Circular Cylinders, Technical Extension Service, Washington State University, Pullman, WA.
Hartlen, R. T. , and Currie, I. G. , 1970, “ Lift-Oscillator Model of Vortex-Induced Vibration,” ASCE J. Eng. Mech. Div., 96(5), pp. 577–591.
Kim, S. , and Mahbub, A. Md. , 2015, “ Characteristics and Suppression of Flow-Induced Vibrations of Two Side-By-Side Circular Cylinders,” J. Fluids Struct., 54, pp. 629–642. [CrossRef]
Owen, P. R. , 1965, “ Buffeting Excitation of Boiler Tube Vibration,” J. Mech. Eng. Sci., 7(4), pp. 431–439. [CrossRef]
Roberts, B. W. , 1962, “ Low Frequency, Self-Excited Vibration in a Row of Circular Cylinders Mounted in an Airstream,” Ph.D. dissertation, University of Cambridge, Cambridge, UK.
Roberts, B. W. , 1966, Low Frequency, Aeroelastic Vibrations in a Cascade of Circular Cylinders, Institution of Mechanical Engineers, London, UK.
Paidoussis, M. P. , 1983, “ A Review of Flow-Induced Vibrations in Reactors and Reactor Components,” Nucl. Eng. Des., 74(1), pp. 31–60. [CrossRef]
Connors, H. J. , 1970, “ Fluid Elastic Vibration of Tube Arrays Excited by Cross Flow,” ASME Symposium on Flow-Induced Vibration in Heat Exchangers, Winter Annual Meeting, New York, Nov. 29–Dec. 3, pp. 42–56.
Takai, M. , Iwase, T. , Uwagawa, S. , Nakamura, T. , Hirota, K. , Suzuta, T. , and Tomomatsu, K. , 2000, “ Flow-Induced Vibration Test of U-Bend Tube Bundle Subjected to Freon Two-Phase Flow. Part 1: Test Equipment and Partial Measured Results,” Eighth International Conference on Nuclear Engineering (ICONE 8), Baltimore, MD, Apr. 2–6, Paper No. ICONE-8090.
Takai, M. , Iwase, T. , Uwagawa, S. , Hirao, Y. , Suzuta, T. , Ueno, T. , Kasahara, J. , Kodama, J. , and Tomomatsu, K. , 2000, “ Thermal Hydraulic Test and Verification of Thermal Hydraulic Computer Code for Two-Phase Flow in U-Bend Tube,” Eighth International Conference on Nuclear Engineering (ICONE 8), Baltimore, MD, Apr. 2–6, Paper No. ICONE-8653.

Figures

Grahic Jump Location
Fig. 1

Stages of bubble evolution and detachment

Grahic Jump Location
Fig. 2

Spherical vapor bubble present in the unbounded liquid

Grahic Jump Location
Fig. 3

Forces on a single spherical bubble

Grahic Jump Location
Fig. 4

Envelop of Strouhal–Reynolds number relationship for circular cylinders [127]

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