Abstract
When two cavitation bubbles exist in a confined space, the interaction between the bubbles significantly affects the characteristics of bubble dynamic behaviors. In this paper, a three-dimensional (3D) model is established to study the growth and collapse of two cavitation bubbles in a heated tube and its effects on heat transfer. The liquid and gas phases throughout the calculation domain are solved by a set of Navier-Stokes equations. It is assumed that the gas inside the bubble is compressible vapor, and the surrounding liquid is incompressible water. The mass transfer between two phases is ignored. The calculated bubble profiles were compared to the available experimental data, and a good agreement has been achieved. Then, the relationship among the bubble motion, flow field and pressure distributions was analyzed. On this basis, the effects of bubble interaction on the heat transfer between the wall surface and sounding liquid were discussed. It is found that heat transfer in the centre wall region is enhanced owing to the vortex flow and micro-jet induced by the bubble contraction and collapse. In contrast, the highest surface temperature appears in the surrounding region, which is mainly attributed to the thermal resistance induced by the bubble. The present study is helpful to understand the heat transfer phenomenon with cavitation in the liquid.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Abbreviations
- E :
-
total energy (J)
- F :
-
force (N)
- h :
-
heat transfer coefficient (W/m2·K)
- H :
-
distance from the centre point to the bubble
- k :
-
effective conductivity (W/m·K)
- L :
-
length of the tube (mm)
- M :
-
molecular weight (kg/mol)
- p :
-
static pressure (Pa)
- q :
-
heat flux (W/cm2)
- R :
-
bubble radius (mm)
- R g :
-
gas constant (J/K·mol)
- t :
-
time (s)
- T :
-
temperature (K)
- v :
-
velocity (m/s)
- x :
-
x coordinate (m)
- y :
-
y coordinate (m)
- z :
-
z coordinate (m)
- ρ :
-
Density (kg/m3)
- β :
-
volume fraction (-)
- µ :
-
viscosity (kg/m·s)
- k :
-
curvature of the interface (1/m)
- s :
-
surface tension (N/m)
- f:
-
fluid
- g:
-
gas phase
- l:
-
liquid phase
- w:
-
wall surface
- max:
-
maximum value
- t:
-
total
- 0:
-
initial
- ∞:
-
far field
References
Escaler X., Egusquiza E., Farhat M., Avellan F., Coussirat M.: Detection of cavitation in hydraulic turbines, Mechanical Systems and Signal Processing, vol. 20, pp. 983–1007, (2006).
Dorji U., Ghomashchi R.: Hydro turbine failure mechanisms: An overview, Engineering Failure Analysis, vol. 44, pp. 136–147, (2014).
Ryl J., Wysocka J., Slepski P., Darowicki K.: Instantaneous impedance monitoring of synergistic effect between cavitation erosion and corrosion processes, Electrochimica Acta, vol. 203, pp. 388–395, (2016).
Kim K. H., Chahine G., Franc J. P., Karimi A.: Advanced experimental and numerical techniques for cavitation erosion prediction, Springer Netherlands, Dordrecht, (2014).
Singh R., Tiwari S. K., Mishra S. K.: Cavitation erosion in hydraulic turbine components and mitigation by coatings: current status and future needs, Journal of Materials Engineering and Performance, vol. 21, pp. 1539–1551, (2012).
Niemczewski B.: Cavitation intensity of water under practical ultrasonic cleaning conditions, Ultrasonics Sonochemistry, vol. 21, pp. 354–359, (2014).
Verhaagen B., Fernández R. D.: Measuring cavitation and its cleaning effect, Ultrasonics Sonochemistry, vol. 29, pp. 619–628, (2016).
Angaji M. T., Ghiaee R.: Decontamination of unsymmetrical dimethylhydrazine waste water by hydrodynamic cavitation-induced advanced Fenton process, Ultrasonics Sonochemistry, vol. 23, pp. 257–265, (2015).
Dular M., Griesslerbulc T., Griesslerbulc I., Heath E., Kosjek T., Klemencic A. K., Oder M., Petkovsek M., Racki N., Ravnikar, M. Sarc A. Sirok B., Zupanc M., Zitnik M., Kompare B., Use of hydrodynamic cavitation in (waste) water treatment, Ultrasonics Sonochemistry, vol. 29, pp. 577–588 (2016).
Frank S., Lautz J., Sankin G. N., Szeri A. J., Zhong P.: Bubble proliferation or dissolution of cavitation nuclei in the beam path of a shock-wave lithotripter, Physical Review Applied, vol. 3, pp. 034002, (2015).
Schneider B., Kosar A., Kuo C. J., Mishra C., Cole G. S., Scaringe R. P., Peles Y.: Cavitation enhanced heat transfer in microchannels, Journal of Heat Transfer, vol. 128, pp. 1293–1301, (2006).
Brujan E. A., Nahen K., Schmidt P., Vogel A.: Dynamics of laser-induced cavitation bubbles near an elastic boundary, Journal of Fluid Mechanics, vol. 433, pp. 251–281, (2001).
Brujan E. A., Ikeda T., Matsumoto Y.: On the pressure of cavitation bubbles, Experimental Thermal and Fluid Science, vol. 32, pp. 1188–1191, (2008).
Yang Y. X., Wang Q. X., Keat T. S.: Dynamic features of a laser-induced cavitation bubble near a solid boundary, Ultrasonics Sonochemistry, vol. 20, pp. 1098–1103, (2013).
Ohl C., Avila S. R., Klaseboer E. Liu A. Q., Tandiono T., Ando K.: Cavitation in confined spaces, The Journal of the Acoustical Society of America, vol. 131, pp. 3338–3338, (2012).
Hilgenfeldt S., Brenner M. P., Grossmann S., Lohse D.: Analysis of Rayleigh-Plesset dynamics for sonoluminescing bubbles, Journal of Fluid Mechanics, vol. 365, pp. 171–204, (1998).
Wafaa S., Tetsutaro N., Noriharu T., Koichi S.: Modification of Rayleigh–Plesset Theory for Reproducing Dynamics of Cavitation Bubbles in Liquid-Phase Laser Ablation, Japanese Journal of Applied Physics, vol. 49, pp. 116202, (2010).
Huang J., Zhang H.: Level set method for numerical simulation of a cavitation bubble, its growth, collapse and rebound near a rigid wall, Acta Mechanica Sinica, vol.23, pp. 645–653, (2007).
Bal S., Kinnas A. S., A BEM for the prediction of free surface effects on cavitating hydrofoil., Computational Mechanics, vol. 28, pp. 260–274, (2002).
Tryggvason G., Bunner B., Juric D., Rawahi N., Han J., Nas S., Jan Y. J.: A Front-Tracking Method for the Computations of Multiphase Flow, Journal of Computational Physics, vol. 169, pp. 708–759, (2001).
Sussman M., A second order coupled level set and volume- of-fluid method for computing growth and collapse of vapor bubble., Journal of Computational Physics, vol. 187, pp. 110–136, (2003).
Cai J., Huai X. L., Yan R., Cheng Y., Numerical simulation on enhancement of natural convection heat transfer by acoustic cavitation in a square enclosure, Applied Thermal Engineering, vol. 29 pp. 1973–1982, (2009).
Liu B., Cai J., Huai X. L., Li X. F.: Cavitation bubble collapse near a heated wall and its effect on the heat transfer, Journal of Heat Transfer, vol. 136, pp. 022901–022901, (2013).
Liu B., Cai J., Huai X. L.: Heat transfer with the growth and collapse of cavitation bubble between two parallel heated walls, International Journal of Heat and Mass Transfer, vol. 78, pp. 830–838, (2014).
Ji C.: Numerical and experimental research of bubble behavior in restricted space, Doctoral dissertation, Zhejiang University, Hangzhou, China, (2013).
Acknowledgments
This work is financially supported by the National Natural Science Foundation of China (Grant No. 51606190, Grant No. 51376181).
Author information
Authors and Affiliations
Additional information
This work is financially supported by the National Natural Science Foundation of China (Grant No. 51606190, Grant No. 51376181)
Rights and permissions
About this article
Cite this article
Liu, B., Cai, J., Tao, Y. et al. Interaction of two cavitation bubbles in a tube and its effects on heat transfer. J. Therm. Sci. 26, 66–72 (2017). https://doi.org/10.1007/s11630-017-0911-1
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11630-017-0911-1