Research Papers: Fundamental Issues and Canonical Flows

Numerical and Experimental Study of Bubble Impact on a Solid Wall

[+] Author and Article Information
B. Y. Ni, A. M. Zhang

College of Shipbuilding Engineering,
Harbin Engineering University,
Harbin 150001, China

G. X. Wu

Department of Mechanical Engineering,
University College London,
London WC1E 7JE, UK
e-mail: g.wu@ucl.ac.uk

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 21, 2013; final manuscript received October 10, 2014; published online December 3, 2014. Editor: Malcolm J. Andrews.

J. Fluids Eng 137(3), 031206 (Mar 01, 2015) (16 pages) Paper No: FE-13-1252; doi: 10.1115/1.4028798 History: Received April 21, 2013; Revised October 10, 2014; Online December 03, 2014

The dynamic characteristics of a bubble initially very close to a rigid wall, or with a very narrow gap, are different from those of a bubble away from the wall. Especially at the contraction stage, a high-speed jet pointing toward the wall will be generated and will impact the rigid surface directly, which could cause more severe damage to the structure. Based on the velocity potential theory and boundary element method (BEM), the present paper aims to overcome the numerical difficulty and simulate the bubble impact on a solid wall for the axisymmetric case. The convergence study has been undertaken to verify the developed numerical method and the computation code. Extensive experiments are conducted. Case studies are made using both experimental data and numerical results. The effects of dimensionless distance on the bubble dynamics are investigated.

Copyright © 2015 by ASME
Topics: Bubbles
Your Session has timed out. Please sign back in to continue.


Naude, C. F., and Ellis, A. T., 1961, “On the Mechanism of Cavitation Damage by Nonhemispherical Cavities Collapsing in Contact With a Solid Boundary,” ASME J. Basic Eng., 83(4), pp. 648–655. [CrossRef]
Benjamin, T. B., and Ellis, A. T., 1966, “The Collapse of Cavitation Bubbles and the Pressures Thereby Produced Against Solid Boundaries,” Philos. Trans. R. Soc., A, 260(1110), pp. 221–240. [CrossRef]
Chahine, G. L., 1977, “Interaction Between an Oscillating Bubble and a Free Surface,” ASME J. Fluids Eng., 99(4), pp. 709–716. [CrossRef]
Lauterborn, W., and Bolle, H., 1975, “Experimental Investigations of Cavitation-Bubble Collapse in the Neighbourhood of a Solid Boundary,” J. Fluid Mech., 72(2), pp. 391–399. [CrossRef]
Plesset, M. S., and Chapman, R. B., 1971, “Collapse of an Initially Spherical Vapor Cavity in the Neighborhood of a Solid Boundary,” J. Fluid Mech., 47(2), pp. 283–290. [CrossRef]
Philipp, A., and Lauterborn, W., 1998, “Cavitation Erosion by Single Laser-Produced Bubbles,” J. Fluid Mech., 361, pp. 75–116. [CrossRef]
Shaw, S. J., Schiffers, W. P., Gentry, T. P., and Emmony, D. C., 1999, “A Study of the Interaction of a Laser-Generated Cavity With a Nearby Solid Boundary,” J. Phys. D: Appl. Phys., 32(14), pp. 1612–1617. [CrossRef]
Turangan, C. K., Ong, G. P., Klaseboer, E., and Khoo, B. C., 2006, “Experimental and Numerical Study of Transient Bubble-Elastic Membrane Interaction,” J. Appl. Phys., 100(5), p. 054910. [CrossRef]
Klaseboer, E., Hung, K. C., and Wang, C., 2005, “Experimental and Numerical Investigation of the Dynamics of an Underwater Explosion Bubble Near a Resilient/Rigid Structure,” J. Fluid Mech., 537, pp. 387–413. [CrossRef]
Huang, S., and Mohamad, A. A., 2009, “Modeling of Cavitation Bubble Dynamics in Multicomponent Mixtures,” ASME J. Fluids Eng., 131(3), p. 031301. [CrossRef]
Zhang, A. M., Yang, W. S., Huang, C., and Ming, F. R., 2013, “Numerical Simulation of Column Charge Underwater Explosion Based on SPH and BEM Combination,” Comput. Fluids, 71(3), pp. 169–178. [CrossRef]
Zhang, S., Duncan, J. H., and Chahine, G. L., 1993, “The Final Stage of the Collapse of a Cavitation Bubble Near a Rigid Wall,” J. Fluid Mech., 257, pp. 147–181. [CrossRef]
Zhang, S., and Duncan, J. H., 1994, “On the Nonspherical Collapse and Rebound of a Cavitation Bubble,” Phys. Fluids, 6(7), pp. 2352–2362. [CrossRef]
Brujan, E. A., Keen, G. S., Vogel, A., and Blake, J. R., 2002, “The Final Stage of the Collapse of a Cavitation Bubble Close to a Rigid Boundary,” Phys. Fluids, 14(1), pp. 85–92. [CrossRef]
Wang, Q. X., Yeo, K. S., Khoo, B. C., and Lam, K. Y., 1996, “Nonlinear Interaction Between Gas Bubble and Free Surface,” Comput. Fluids, 25(7), pp. 607–628. [CrossRef]
Zhang, Y. L., Yeo, K. S., Khoo, B. C., and Wang, C., 2001, “3D Jet Impact and Toroidal Bubbles,” J. Comput. Phys., 166(2), pp. 336–360. [CrossRef]
Wang, Q. X., 1998, “The Evolution of a Gas Bubble Near an Inclined Wall,” Theor. Comput. Fluid Dyn., 12(1), pp. 29–51. [CrossRef]
Wang, Q. X., 2004, “Numerical Simulation of Violent Bubble Motion,” Phys. Fluids, 16(5), pp. 1610–1619. [CrossRef]
Wang, Q. X., Yeo, K. S., Khoo, B. C., and Lam, K. Y., 2005, “Vortex Ring Modelling of Toroidal Bubbles,” Theor. Comput. Fluid Dyn., 19(5), pp. 1–15. [CrossRef]
Zhang, A. M., Ni, B. Y., Song, B. Y., and Yao, X. L., 2010, “Numerical Simulation of Bubble Breakup Phenomena in a Narrow Flow Field,” Appl. Math. Mech. (Engl. Ed.), 31(4), pp. 449–460. [CrossRef]
Jayaprakash, A., Hsiao, C. T., and Chahine, G., 2012, “Numerical and Experimental Study of the Interaction of a Spark-Generated Bubble of a Spark-Generated Bubble and a Vertical Wall,” ASME J. Fluids Eng., 134(3), p. 031301. [CrossRef]
Lind, S. J., and Phillips, T. N., 2012, “The Influence of Viscoelasticity on the Collapse of Cavitation Bubbles Near a Rigid Boundary,” Theor. Comput. Fluid Dyn., 26(1–4), pp. 245–277. [CrossRef]
Zhang, A. M., and Ni, B. Y., 2014, “Three-Dimensional Boundary Integral Simulations of Motion and Deformation of Bubbles With Viscous Effects,” Comput. Fluids, 92, pp. 22–33. [CrossRef]
Wang, Q. X., and Blake, J. R., 2010, “Non-Spherical Bubble Dynamics in a Compressible Liquid. Part 1. Travelling Acoustic Wave,” J. Fluid Mech., 659, pp. 191–224. [CrossRef]
Wang, Q. X., and Blake, J. R., 2011, “Non-Spherical Bubble Dynamics in a Compressible Liquid. Part 2. Acoustic Standing Wave,” J. Fluid Mech., 679, pp. 559–581. [CrossRef]
Zhang, A. M., Wang, S. P., and Wu, G. X., 2013, “Simulation of Bubble Motion in a Compressible Liquid Based on the Three Dimensional Wave Equation,” Eng. Anal. Boundary Ele., 37(9), pp. 1179–1188. [CrossRef]
Best, J. P., and Kucera, A., 1992, “A Numerical Investigation of Non-Spherical Rebounding Bubbles,” J. Fluid Mech., 245, pp. 137–154. [CrossRef]
Gong, S. W., Ohl, S. W., Klaseboer, E., and Khoo, B. C., 2010, “Scaling Law for Bubbles Induced by Different External Sources: Theoretical and Experimental Study,” Phys. Rev. E, 81, pp. 1–11. [CrossRef]
Klaseboer, E., and Khoo, B. C., 2004, “Boundary Integral Equations as Applied to an Oscillating Bubble Near a Fluid–Fluid Interface,” Comput. Mech., 33(2), pp. 129–138. [CrossRef]
Schiffman, M., and Spencer, D. C., 1951, “The Force of Impact on a Cone Striking a Water Surface (Vertical Entry),” Commun. Pure Appl. Math., 4(4), pp. 379–417. [CrossRef]
Abramowitz, M., and Stegun, I. A., 1965, Handbook of Mathematical Functions, Dover Publications, New York.
Wu, G. X., 2007, “Two-Dimensional Liquid Column and Liquid Droplet Impact on a Solid Wedge,” Q. J. Mech. Appl. Math., 60(4), pp. 497–511. [CrossRef]
Dommermuth, D., and Yue, D. K. P., 1987, “Numerical Simulations of Nonlinear Axisymmetric Flows With a Free Surface,” J. Fluid Mech., 178, pp. 195–219. [CrossRef]
Rayleigh, J. W., 1917, “On the Pressure Developed in a Liquid During the Collapse of a Spherical Cavity,” Philos. Mag., 34(3), pp. 94–98. [CrossRef]
Lew, K. S. F., Klaseboer, E., and Khoo, B. C., 2007, “A Collapsing Bubble-Induced Micropump: An Experimental Study,” Sens. Actuators, A, 133(1), pp. 161–172. [CrossRef]
Van der Geld, C. W. M., and Kuerten, J. G. M., 2009, “Axisymmetric Dynamics of a Bubble Near a Plane Wall,” J. Fluid Mech., 640, pp. 265–303. [CrossRef]
Wu, G. X., and Eatock Taylor, R., 2003, “The Coupled Finite Element and Boundary Element Analysis of Nonlinear Interactions Between Waves and Bodies,” Ocean Eng., 12(5), pp. 387–400. [CrossRef]
Wu, G. X., 1998, “Hydrodynamic Force on a Rigid Body During Impact With Liquid,” J. Fluids Struct., 12(5), pp. 549–559. [CrossRef]
Rungsiyaphornrat, S., Klaseboer, E., Khoo, B. C., and Yeo, K. S., 2003, “The Merging of two Gaseous Bubbles With an Application to Underwater Explosions,” Comput. Fluids, 32(8), pp. 1049–1074. [CrossRef]
Blake, J. R., and Gibson, D. C., 1981, “Growth and Collapse of a Vapour Cavity Near a Free Surface,” J. Fluid Mech., 111, pp. 123–140. [CrossRef]


Grahic Jump Location
Fig. 1

Sketch of the problem with Cartesian and polar coordinate systems

Grahic Jump Location
Fig. 2

Sketch of removal procedure of the water layer

Grahic Jump Location
Fig. 3

Sketch of contact jet impact

Grahic Jump Location
Fig. 4

Sketch of experimental setup

Grahic Jump Location
Fig. 5

Calculation of the volume of the bubble from the experimental data

Grahic Jump Location
Fig. 6

Volume history of the bubble at different meshes

Grahic Jump Location
Fig. 7

Volume history of the bubble at different time steps

Grahic Jump Location
Fig. 8

Sketch of removal procedure of the water layer through the merge

Grahic Jump Location
Fig. 9

Sketch of two identical jets collision

Grahic Jump Location
Fig. 10

Comparison of deformation of the bubble by Image Method (left) and Direct Method (right)

Grahic Jump Location
Fig. 11

Comparison of the bubble volume history by image method and direct method

Grahic Jump Location
Fig. 12

Comparison of the jet tip velocity of the bubble by image method and direct method

Grahic Jump Location
Fig. 13

Comparison between numerical and experimental results of the bubble evolution with time at λ=0.45

Grahic Jump Location
Fig. 14

The evolution of a bubble in the radial jet stage at λ = 0.45

Grahic Jump Location
Fig. 15

Comparison of bubble volumes (λ=0.45)

Grahic Jump Location
Fig. 16

Comparison of bubble jet velocities (λ=0.45)

Grahic Jump Location
Fig. 17

Variation of the pressure inside the bubble

Grahic Jump Location
Fig. 18

Pressure distribution on the wall

Grahic Jump Location
Fig. 19

Comparison between numerical and experimental results of the bubble evolution with time at λ=0.15

Grahic Jump Location
Fig. 20

Comparison of the bubble volumes (λ=0.15)

Grahic Jump Location
Fig. 21

Comparison of the bubble jet velocities (λ=0.15)

Grahic Jump Location
Fig. 22

Variation of the time of jet impacting at different λ

Grahic Jump Location
Fig. 23

Variation of the jet tip velocity at the moment of impact with different λ




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In