Hostname: page-component-745bb68f8f-f46jp Total loading time: 0 Render date: 2025-02-05T07:15:24.650Z Has data issue: false hasContentIssue false
  • English
  • Français

Thermodynamic effects during growth and collapse of a single cavitation bubble

Published online by Cambridge University Press:  01 November 2013

Matevž Dular  and
Olivier Coutier-Delgosha
Matevž Dular*
Affiliation:
Laboratory for Water and Turbine Machines, University of Ljubljana, Aškerčeva 6, 1000 Ljubljana, Slovenia
Olivier Coutier-Delgosha
Affiliation:
LML Laboratory, Arts et Metiers ParisTech, 8 Boulevard Louis XIV, 59046 Lille, France
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

The thermodynamic effects associated with the growth and collapse of a single cavitation bubble are investigated in the present paper by an experimental approach. The study focuses on the temperature variations in the liquid surrounding the bubble. Experiments are conducted in a cylinder partially filled with water at an ambient temperature and atmospheric pressure. The bubble growth results from the expansion of an initial air bubble, due to the pressure wave generated by a so-called ‘tube-arrest’ method. Several locations of the bubble, at different distances from the bottom wall of the cylinder, are considered. The bottom wall is made of sapphire, which is transparent to both the visible and infrared light spectra which enables temperature measurements by a high-speed thermovision camera at a wavelength of 3–$5~\unicode[.5,0][STIXGeneral,Times]{x03BC} \mathrm{m} $. Water is opaque to the infrared light spectrum, hence only temperatures in the boundary layer and on the liquid vapour interface could be determined. A temperature decrease of ${\sim }3$ K was recorded during the bubble growth while an increase up to 4 K was detected during the collapse. Experimental results are compared to the predictions of the ‘thermal delay’ model based on the assumption that the bubble growth and collapse are due to phase changes only. In this approach, the temperature variations are related to the latent heat exchanges during the vapourization and condensation processes. On the basis of these results, the respective effects of phase change and air dilatation/compression in the bubble dynamics are discussed.

JFM classification

Drops and Bubbles: Cavitation Drops and Bubbles: Drops and Bubbles Phase change: Phase change
Type
Papers
Information
Journal of Fluid Mechanics , Volume 736 , 10 December 2013 , pp. 44 - 66
Copyright
©2013 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Akhatov, I., Lindau, O., Topolnikov, A., Mettin, R., Vakhitova, N. & Lauterborn, W. 2001 Collapse and rebound of a laser-induced cavitation bubble. Phys. Fluids 13, 2805–2819.Google Scholar
Brennen, C. E. 1973 The dynamic behavior and compliance of a stream of cavitating bubbles. Trans. ASME: J. Fluids Engng 95 (4), 533–541.Google Scholar
Brennen, C. E. 1995 Cavitation and Bubble Dynamics. Oxford University Press.Google Scholar
Cervone, A., Testa, R. & d’Agostino, L. 2005 Thermal effects on cavitation instabilities in helical inducers. J. Propul. Power 21, 893–899.Google Scholar
Chen, Q.-D. & Wang, L. 2004 Production of large size single transient cavitation bubbles with tube arrest method. Chin. Phys. 13 (4), 564–570.Google Scholar
Chen, Q.-D. & Wang, L. 2005 Luminescence from transient cavitation bubbles in water. Phys. Lett. A 339, 110–117.CrossRefGoogle Scholar
Chesterman, W. D. 1952 The dynamics of small transient cavities. Proc. Phys. Soc. B 65, 846–858.CrossRefGoogle Scholar
Franc, J.-P., Boitel, G., Riondet, M., Janson, E., Ramina, P. & Rebattet, C. 2010 Thermodynamic effect on a cavitating inducer-part II: on-board measurements of temperature depression within leading edge cavities. Trans. ASME: J. Fluids Engng 132 (2), 021304.Google Scholar
Franc, J.-P. & Michel, J.-M. 2004 Fundamentals of Cavitation. Fluid Mechanics and Its Applications, vol. 76, Springer.Google Scholar
Franc, J.-P., Rebattet, C. & Coukon, A. 2004 An experimental investigation of thermal effects in a cavitating inducer. Trans. ASME: J. Fluids Engng 126, 716–723.Google Scholar
Fruman, D. H., Reboud, J. L. & Stutz, B. 1999 Estimation of thermal effects in cavitation of thermosensible liquids. Intl J. Heat Mass Transfer 42, 3195–3204.Google Scholar
Fuster, D., Hauke, G. & Dopazo, C. 2010 Influence of the accommodation coefficient on nonlinear bubble oscillations. J. Acoust. Soc. Am. 128 (1), 5–10.Google Scholar
Hale, G. M. & Querry, M. R. 1973 Optical constants of water in the 200 nm to $200~\unicode[.5,0][STIXGeneral,Times]{x03BC} \mathrm{m} $ wavelength region. Appl. Opt. 12, 555–563.Google Scholar
Hauke, G., Fuster, D. & Dopazo, C. 2007 Dynamics of a single cavitating and reacting bubble. Phys. Rev. E 75, 066310.CrossRefGoogle ScholarPubMed
Hord, J. 1973a Cavitation in liquid cryogens II – hydrofoil. NASA CR-2156.Google Scholar
Hord, J. 1973b Cavitation in liquid cryogens III – ogives. NASA CR-2242.Google Scholar
Hord, J., Anderson, L. M. & Hall, W. J. 1972 Cavitation in liquid cryogens I – Venturi. NASA CR-2054.Google Scholar
Kato, H. 1984 Thermodynamic effect on incipient and development of sheet cavitation. In Proceedings of International Symposium on Cavitation Inception, New Orleans, LA, pp. 127–136.Google Scholar
Matula, T. J., Hilmo, P. R., Storey, B. D. & Szeri, A. J. 2002 Radial response of individual bubbles subjected to shock wave lithotripsy pulses in vitro. Phys. Fluids 14, 913–921.Google Scholar
Philipp, A. & Lauterborn, W. 1998 Cavitation erosion by single laser-produced bubbles. J. Fluid Mech. 361, 75–116.Google Scholar
Plesset, M. S. 1949 The dynamics of cavitation bubbles. J. Appl. Mech. 16, 277–282.Google Scholar
Plesset, M. S. & Chapman, R. B. 1971 Collapse of an initially spherical vapour cavity in the neighborhood of a solid boundary. J. Fluid Mech. 47 (2), 283–290.CrossRefGoogle Scholar
Ruggeri, R. S. & Moore, R. D. 1969 Method for prediction of pump cavitation performance for various liquids, liquid temperature, and rotation speeds. NASA TN D-5292.Google Scholar
Sarosdy, L. R. & Acosta, A. J. 1961 Note on observations of cavitation in different fluids. Trans. ASME: J. Basic Engng 83, 399–400.Google Scholar
Sekita, R., Watanabel, A., Hirata, K. & Imoto, T. 2001 Lessons learned from H-2 failure and enhancement of H-2a project. Acta Astron. 48 (5–12), 431–438.Google Scholar
Stahl, H. A. & Stepanoff, A. J. 1956 Thermodynamic aspects of cavitation in centrifugal pumps. Trans. ASME: J. Basic Engng 78, 1691–1693.Google Scholar
Stepanoff, A. J. 1961 Cavitation in centrifugal pumps with liquids other than water. J. Engng Power 83, 79–90.CrossRefGoogle Scholar
Storey, B. D. & Szeri, A. J. 2000 Water vapour, sonoluminescence and sonochemistry. Proc. R. Soc. Lond. A 456, 1685–1709.Google Scholar
Storey, B. D. & Szeri, A. J. 2001 A reduced model of cavitation physics for use in sonochemistry. Proc. R. Soc. Lond. A. 457, 1685–1700.Google Scholar
Szeri, A. J., Storey, B. D., Pearson, A. & Blake, J. R. 2003 Heat and mass transfer during the violent collapse of nonspherical bubbles. Phys. Fluids 15, 2576–2586.CrossRefGoogle Scholar
Toegel, R., Gompf, B., Pecha, R. & Lohse, D. 2000 Does water vapour prevent upscaling sonoluminescence? Phys. Rev. Lett. 85, 3165–3168.Google Scholar
Tong, R. P., Schiffers, W. P., Shaw, J. S., Blake, J. R. & Emmony, D. C. 1999 The role of splashing in the collapse of the laser-generated cavity near a rigid boundary. J. Fluid Mech. 380, 339–361.Google Scholar
Watanabe, S., Hidaka, T., Horiguchi, H., Furukawa, A. & Tsujimoto, Y. 2007 Steady analysis of the thermodynamic effect of partial cavitation using the singularity method. Trans. ASME: J. Fluids Engng 129 (2), 121–127.Google Scholar
Yasui, K. 1997 Alternative model of single-bubble sonoluminescence. Phys. Rev. E 56, 6750–6760.Google Scholar