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Numerical Simulation of Cavitation Bubble Growth within a Droplet

Published online by Cambridge University Press:  15 July 2015

M. Lü ,
Z. Ning ,
K. Yan ,
J. Fu  and
C.-H. Sun
M. Lü
Affiliation:
College of Mechanical and Electrical Engineering, Beijing Jiaotong University, Beijing, P. R. China
Z. Ning*
Affiliation:
College of Mechanical and Electrical Engineering, Beijing Jiaotong University, Beijing, P. R. China
K. Yan
Affiliation:
College of Mechanical and Electrical Engineering, Beijing Jiaotong University, Beijing, P. R. China
J. Fu
Affiliation:
College of Mechanical and Electrical Engineering, Beijing Jiaotong University, Beijing, P. R. China
C.-H. Sun
Affiliation:
College of Mechanical and Electrical Engineering, Beijing Jiaotong University, Beijing, P. R. China
*
*Corresponding author (zhining@bjtu.edu.cn)
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Abstract

Cavitation bubbles, which always exist in the diesel jet leaving the nozzle and in diesel droplets breaking up from the jet as a result of supercavitation of the diesel within the injection nozzle, increase the instability of jet and droplets in part due to the two-phase mixture, while the mechanism of this effect is still unclear. Cavitation bubble expansion within the diesel droplet has been simulated numerically based on the volume of fluid (VOF) method, and the control mechanism of bubble growth process is analyzed by Rayleigh-Plesset equation. The process of bubble growth is divided into three parts, including surface tension controlled domain, comprehensive competition controlled domain and inertial force controlled domain. During the first stage, cavitation bubble growth is controlled by the surface tension, and the decrease of the surface tension leads to the increase of the bubble growth rate. During the second stage, the bubble growth rate is controlled by the comprehensive competition of the surface tension, the inertial force and the viscous force. During the third stage, the process of bubble growth is majorly controlled by the inertial force.

Keywords

DropletCavitation bubbleNumerical simulationControl mechanism
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 2 , April 2016 , pp. 211 - 217
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2016 

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References

REFERENCES

1.Sarre, C. K., Kong, S. C. and Reitz, R. D., “Modeling the Effects of Injector Nozzle Geometry on Diesel Sprays,” SAE Paper, 1999-01-0912 (1999).CrossRefGoogle Scholar
2.Yuan, W. and Schnerr, G. H., “Numerical Simulation of Two-Phase Flow in Injection Nozzles: Interaction of Cavitation and External Jet Formation,” Journal of Fluids Engineering, 125, pp. 963–969 (2003).CrossRefGoogle Scholar
3.Payri, R., Garcia, J. M. and Salvador, F. J., et al, “Using Spray Momentum Flux Measurements to Understand the Influence of Diesel Nozzle Geometry on Spray Characteristics,” Fuel, 84, pp. 551–561 (2005).CrossRefGoogle Scholar
4.Sou, A., et al, “Cavitation in a Two-Dimensional Nozzle and Liquid Jet Atomization,” JSME International Journal, 49, pp. 1253–1259 (2006).Google Scholar
5.Sou, A., Hosokawa, S. and Tomiyama, A., “Effects of Cavitation in a Nozzle on Liquid Jet Atomization,” International Journal of Heat and Mass Transfer, 50, pp. 3575–3582 (2007).CrossRefGoogle Scholar
6.Suh, H. K. and Lee, C.S, “Effect of Cavitation in Nozzle Orifice on the Diesel Fuel Atomization Characteristics,” International Journal of Heat and Fluid Flow, 29, pp. 1001–1009 (2008).CrossRefGoogle Scholar
7.Safari, S.D., “Effects of Cavitation on High-Pressure Atomization,” Ph.D. Dissertation, University of California, Irvine, U.S.A. (2009).Google Scholar
8.Desantes, J. M., et al, “Influence of Cavitation Phenomenon on Primary Break-Up and Spray Behavior at Stationary Conditions,” Fuel, 89, pp. 3033–3041 (2010).CrossRefGoogle Scholar
9.Payri, R, et al, “Study of Cavitation Phenomena Based on a Technique for Visualizing Bubbles in a Liquid Pressurized Chamber,” International Journal of Heat and Fluid Flow, 30, pp. 768–777 (2009).CrossRefGoogle Scholar
10.Rayleigh, L., “On the Pressure Developed in a Liquid During the Collapse of a Spherical Cavity,” Philosophical Magazine, 34, pp. 94–98 (1917).Google Scholar
11.Plesset, M. S. and Calif, P., “The Dynamics of Cavitation Bubbles,” ASME Journal of Applied Mechanics, 16, pp. 228–231 (1949).CrossRefGoogle Scholar
12.Plesset, M. S. and Prosperetti, A., “Bubble Dynamics and Cavitation,” Annual Review of Fluid Mechanics, 9, pp. 145–185 (1977).CrossRefGoogle Scholar
13.Robinson, A. J. and Judd, R. L., “The Dynamics of Spherical Bubble Growth,” International Journal of Heat and Mass Transfer, 47, pp. 5101–5113 (2004).CrossRefGoogle Scholar
14.Zhang, L. X., Yin, Q. and Shao, X. M., “Theoretical and Numerical Studies on the Bubble Collapse in Water,” Journal of Hydrodynamics, 27, pp. 68–73 (2012).Google Scholar
15.Zhang, L. X., Wen, Z. Q. and Shao, X. M., “Investigation of Bubble-Bubble Interaction Effect During the Collapse of Multi-Bubble System,” Chinese Journal of Theoretical and Applied Mechanics, 45, pp. 861–867 (2013).Google Scholar
16.Zeng, Y., “Modeling of Multicomponent Fuel Vaporization in Internal Combustion Engines,” Ph.D. Dissertation, University of Illinois, Urbana-Champaign, U.S.A. (2000).Google Scholar
17.Lü, M., et al, “The Breakup of Cavitation Bubbles Within the Diesel Droplet,” Chinese Journal of Mechanical Engineering, 27, pp. 198–204 (2014).CrossRefGoogle Scholar
18.Mulemane, A., et al, “Comparing Cavitation in Diesel Injectors Based on Different Modeling Approaches,” SAE Paper, 2004-01-0027 (2004).CrossRefGoogle Scholar
19.Jia, M., et al, “A Micro-Variable Circular Orifice Fuel Injector for HCCIConventional Engine Combustion — Part I Numerical Simulation of Cavitation,” SAE Paper, 2007-01-0249 (2007).CrossRefGoogle Scholar
20.Wang, X. and Su, W. H., “A Numerical Study of Cavitating Flows in High-Pressure Diesel Injection Nozzle Holes Using a Two-Fluid Model,” Chinese Science Bulletin, 54, pp. 1655–1662 (2009).CrossRefGoogle Scholar