Browse > Article

Deformation characteristics of spherical bubble collapse in Newtonian fluids near the wall using the Finite Element Method with ALE formulation  

Kim See-Jo (School of Mechanical Engineering, Andong National University)
Lim Kyung-Hun (School of Mechanical Engineering, Andong National University)
Kim Chong-Youp (Department of Chemical Biological Engineering, Korea University)
Publication Information
Korea-Australia Rheology Journal / v.18, no.2, 2006 , pp. 109-118 More about this Journal
Abstract
A finite-element method was employed to analyze axisymmetric unsteady motion of a deformable bubble near the wall. In the present study a deformable bubble in a Newtonian medium near the wall was considered. In solving the governing equations a structured mesh generator was used to describe the collapse of highly deformed bubbles with the Arbitrary Lagrangian Eulerian (ALE) method being employed in order to capture the transient bubble boundary effectively. In order to check the accuracy of the present FE analysis we compared the results of our FE solutions with the result of the collapse of spherical bubbles in a large body of fluid in which solutions can be obtained using a 1D FE analysis. It has been found that 1D and 2D bubble deformations are in good agreement for spherically symmetric problems confirming the validity of the numerical code. Non-spherically symmetric problems were also solved for the collapse of bubble located near a plane solid wall. We have shown that a microjet develops at the bubble boundary away from the wall as already observed experimentally. We have discussed the effect of Reynolds number and distance of the bubble center from the wall on the transient collapse pattern of bubble.
Keywords
ALE method; cavitation; microjet; wall effect;
Citations & Related Records

Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 0
연도 인용수 순위
  • Reference
1 Blake, J.R. and D.C. Gibson, 1987, Cavitation bubbles near boundaries, Annu. Rev. Fluid Mech. 19, 99-123   DOI   ScienceOn
2 Brujan, E.A., G.S. Keen, A. Vogel and J.R. Blake, 2002, The final stage of the collapse of a cavitation bubble close to a rigid boundary, Phys. Fluids 14, 85-92   DOI   ScienceOn
3 Kim, S.J and W.R. Hwang, 2006, Direct numerical simulation of drop emulsions in sliding bi-periodic frames using the level set method, J. Comp. Phys. in preparation
4 Kim, S.J., S.D. Kim and Y. Kwon, 2003, Deformation non-New tonian drops in the entrance region, Korea-Australia Rheol. J. 15, 75-82
5 Kim, S.J. and T.H. Kwon, 1995, Development of numerical simulation methods and analysis of extrusion processes of particlefilled plastic materials subject to slip at the wall, Powder Technol. 85, 227-239   DOI   ScienceOn
6 Plesset, M.S. and R.B. Chapman, 1971, Collapse of an initially spherical vapour cavity in the neighbourhood of a solid boundary, J. Fluid Mech. 47, 283-290   DOI
7 Hammit, F.G., 1980, Cavitation and Multiphase Flow Phenomena, McGraw-Hill, New York
8 Plesset, M.S. and A. Prosperetti, 1977, Bubble dynamics and cavitation, Annu. Rev. Fluid Mech. 9, 145-185   DOI   ScienceOn
9 Blake, J.R., P.B. Robinson, A. Shima and Y. Tomita, 1993, Interaction of two cavitation bubbles with rigid boundary, J. Fluid Mech. 255, 707-721   DOI   ScienceOn
10 Kim, C., 1994, Collapse of spherical bubbles in Maxwell fluids, J. Non-Newtonian Fluid Mech. 55, 37-58   DOI   ScienceOn
11 Yoo, H.J. and C.D. Han, 1982, Oscillatory behavior of a gas bubble growing (or collapsing) in viscoelastic liquids, AIChE J. 28, 1002-1009   DOI   ScienceOn
12 Ellis, A.T., J.G. Waugh and R.Y. Ting, 1970, Cavitation suppression and stress effects in high speed flows of water with dilute macromolecule additives, Trans. ASME, J. Basic Eng. 92, 459
13 Kim, S.J., 2000, Development of a finite element method with auto-remeshing techniques for analysis of the droplet deformation in a two-phase polymeric mixture, J. Korean Fiber Soc. 37, 234-241   과학기술학회마을
14 Kim, S.J. and C.D. Han, 2001, Finite element analysis of axisymmetric creeping motion of a deformable non-Newtonian drop in the entrance region of a cylindrical tube, J. Rheol. 45, 1279-1303   DOI   ScienceOn
15 Mitchell, T.M. and F.H. Hammit, 1973, Asymmetric cavitation bubble collapse, Trans. ASME J. Fluids Eng. 95, 29-37   DOI