Hostname: page-component-745bb68f8f-b6zl4 Total loading time: 0 Render date: 2025-01-10T06:32:40.821Z Has data issue: false hasContentIssue false
  • English
  • Français

Interaction of a planar shock wave and a water droplet embedded with a vapour cavity

Published online by Cambridge University Press:  06 January 2020

Yu Liang Open the ORCID record for Yu Liang [Opens in a new window] ,
Yazhong Jiang Open the ORCID record for Yazhong Jiang [Opens in a new window] ,
Chih-Yung Wen Open the ORCID record for Chih-Yung Wen [Opens in a new window]  and
Yao Liu
Yu Liang
Affiliation:
Department of Mechanical Engineering and Interdisciplinary Division of Aeronautical and Aviation Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China Advanced Propulsion Laboratory, Department of Modern Mechanics, University of Science and Technology of China, Hefei230026, China
Yazhong Jiang*
Affiliation:
Department of Mechanical Engineering and Interdisciplinary Division of Aeronautical and Aviation Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China
Chih-Yung Wen*
Affiliation:
Department of Mechanical Engineering and Interdisciplinary Division of Aeronautical and Aviation Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China
Yao Liu
Affiliation:
Department of Mechanical Engineering and Interdisciplinary Division of Aeronautical and Aviation Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China
*
†Email addresses for correspondence: [email protected], [email protected]
†Email addresses for correspondence: [email protected], [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

The interaction of a shock wave and a water droplet embedded with a vapour cavity is experimentally investigated in a shock tube for the first time. The vapour cavity inside the droplet is generated by decreasing the surrounding pressure to the saturation pressure, and an equilibrium between the liquid phase and the gas phase is obtained inside the droplet. Direct high-speed photography is adopted to capture the evolution of both the droplet and the vapour cavity. The formation of a transverse jet inside the droplet during the cavity-collapse stage is clearly observed. Soon afterwards, at the downstream pole of the droplet, a water jet penetrating into the surrounding air is observed during the cavity-expansion stage. The evolution of the droplet is strongly influenced by the evolution of the vapour cavity. The phase change process plays an important role in vapour cavity evolution. The effects of the relative size and eccentricity of the cavity on the movement and deformation of the droplet are presented quantitatively.

JFM classification

Drops and Bubbles: Drops Compressible Flows: Shock waves
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 885 , 25 February 2020 , R6
Copyright
© The Author(s), 2020. Published by 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

Apazidis, N. 2016 Numerical investigation of shock induced bubble collapse in water. Phys. Fluids 28 (4), 046101.CrossRefGoogle Scholar
Bhattacharya, S. 2016 Interfacial wave dynamics of a drop with an embedded bubble. Phys. Rev. E 93, 023119.Google ScholarPubMed
Bourne, N. K. & Field, J. E. 1992 Shock-induced collapse of single cavities in liquids. J. Fluid Mech. 244, 225–240.CrossRefGoogle Scholar
Brennen, C. E. 1995 Cavitation and Bubble Dynamics. pp. 34–37. Oxford University Press.Google Scholar
Brujan, E. A., Keen, G. S., Vogel, A. & Blake, J. R. 2002 The final stage of the collapse of a cavitation bubble close to a rigid boundary. Phys. Fluids 14 (1), 85–92.CrossRefGoogle Scholar
Field, J. E., Dear, J. P. & Ogren, J. E. 1989 The effects of target compliance on liquid drop impact. J. Appl. Phys. 65 (2), 533–540.CrossRefGoogle Scholar
Field, J. E., Camus, J. J., Tinguely, M., Obreschkow, D. & Farhat, M. 2012 Cavitation in impacted drops and jets and the effect on erosion damage thresholds. Wear 290, 154–160.CrossRefGoogle Scholar
Guan, B., Liu, Y., Wen, C. Y. & Shen, H. 2018 Numerical study on liquid droplet internal flow under shock impact. AIAA J. 56 (9), 3382–3387.CrossRefGoogle Scholar
Guildenbecher, D., López-Rivera, C. & Sojka, P. 2009 Secondary atomization. Exp. Fluids 46 (3), 371–402.CrossRefGoogle Scholar
Haas, J. F. & Sturtevant, B. 1987 Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities. J. Fluid Mech. 181, 41–76.CrossRefGoogle Scholar
Hawker, N. A. & Ventikos, Y. 2012 Interaction of a strong shockwave with a gas bubble in a liquid medium: a numerical study. J. Fluid Mech. 701, 59–97.CrossRefGoogle Scholar
Joseph, D. D., Belanger, J. & Beavers, G. S. 1999 Breakup of a liquid drop suddenly exposed to a high-speed airstream. Intl J. Multiphase Flow 25 (6), 1263–1303.CrossRefGoogle Scholar
Kodama, T. & Tomita, Y. 2000 Cavitation bubble behavior and bubble–shock wave interaction near a gelatin surface as a study of in vivo bubble dynamics. Appl. Phys. B 70 (1), 139–149.CrossRefGoogle Scholar
Kondo, T. & Ando, K. 2016 One-way-coupling simulation of cavitation accompanied by high-speed droplet impact. Phys. Fluids 28 (3), 033303.CrossRefGoogle Scholar
Liu, L., Ma, W., Liu, Y. & Cui, J. 2018 Study on mechanism of bubble growth within a water droplet under rapid depressurization. Intl J. Heat Mass Transfer 119, 709–719.CrossRefGoogle Scholar
Meng, J. C. & Colonius, T. 2018 Numerical simulation of the aerobreakup of a water droplet. J. Fluid Mech. 835, 1108–1135.CrossRefGoogle Scholar
Meshkov, E. E. 1969 Instability of the interface of two gases accelerated by a shock wave. Fluid Dyn. 4, 101–104.CrossRefGoogle Scholar
Philipp, A. & Lauterborn, W. 1998 Cavitation erosion by single laser-produced bubbles. J. Fluid Mech. 361, 75–116.CrossRefGoogle Scholar
Rayleigh, Lord 1917 On the pressure developed in a liquid during the collapse of a spherical cavity. Phil. Mag. 34 (200), 94–98.CrossRefGoogle Scholar
Richtmyer, R. D. 1960 Taylor instability in shock acceleration of compressible fluids. Commun. Pure Appl. Maths 13, 297–319.CrossRefGoogle Scholar
Sembian, S., Liverts, M., Tillmark, N. & Apazidis, N. 2016 Plane shock wave interaction with a cylindrical water column. Phys. Fluids 28 (5), 056102.CrossRefGoogle Scholar
Shpak, O., Verweij, M., de Jong, N. & Versluis, M. 2016 Droplets, Bubbles and Ultrasound Interactions. pp. 157–174. Springer International.Google ScholarPubMed
Theofanous, T. G. 2011 Aerobreakup of Newtonian and viscoelastic liquids. Annu. Rev. Fluid Mech. 43, 661–690.CrossRefGoogle Scholar
Theofanous, T. G. & Li, G. J. 2008 On the physics of aerobreakup. Phys. Fluids 20 (5), 052103.CrossRefGoogle Scholar
Wierzba, A. & Takayama, K. 1988 Experimental investigation of the aerodynamic breakup of liquid drops. AIAA J. 26 (11), 1329–1335.CrossRefGoogle Scholar
Wu, W., Wang, B. & Xiang, G. 2019 Impingement of high-speed cylindrical droplets embedded with an air/vapour cavity on a rigid wall: numerical analysis. J. Fluid Mech. 864, 1058–1087.CrossRefGoogle Scholar
Xiang, G. & Wang, B. 2017 Numerical study of a planar shock interacting with a cylindrical water column embedded with an air cavity. J. Fluid Mech. 825, 825–852.CrossRefGoogle Scholar
Supplementary material: Image

Liang et al. supplementary movie 1

Evolution of the droplet embedded with a vapour cavity under the impact of a planar shock wave in experimental case 1.

Download Liang et al. supplementary movie 1(Image)
Image 521.1 KB
Supplementary material: Image

Liang et al. supplementary movie 2

Evolution of the droplet embedded with a vapour cavity under the impact of a planar shock wave in experimental case 2.

Download Liang et al. supplementary movie 2(Image)
Image 583.4 KB
Supplementary material: Image

Liang et al. supplementary movie 3

Evolution of the droplet embedded with a vapour cavity under the impact of a planar shock wave in experimental case 5.

Download Liang et al. supplementary movie 3(Image)
Image 2.6 MB
Supplementary material: Image

Liang et al. supplementary movie 4

Evolution of the droplet embedded with a vapour cavity under the impact of a planar shock wave in experimental case 7.
Download Liang et al. supplementary movie 4(Image)
Image 740.3 KB
Supplementary material: Image

Liang et al. supplementary movie 5

Evolution of the droplet embedded with a vapour cavity under the impact of a planar shock wave in experimental case 9.
Download Liang et al. supplementary movie 5(Image)
Image 488.8 KB