Spherical bubble collapse in viscoelastic fluids

Journal of Non-Newtonian Fluid Mechanics

Volumn 165, Issue 1-2, 2010, Pages 56-64

  Lind, S J ^a   Phillips, T N ^a  

^a CARDIFF UNIVERSITY   (United Kingdom)

Author keywords

Boundary element method; Spherical bubble; Viscoelastic fluid

Indexed keywords

BERNOULLI EQUATIONS; BUBBLE RADIUS; DAMPED OSCILLATIONS; DEBORAH NUMBERS; EDWARDS MODEL; ELASTIC OSCILLATIONS; JEFFREYS MODEL; MAXWELL MODELS; NORMAL STRESS; RAYLEIGH-PLESSET EQUATION; ROUSE MODEL; SOLVENT VISCOSITY; SPHERICAL BUBBLES; VELOCITY POTENTIALS; VISCO-ELASTIC FLUID; VISCOELASTIC EFFECTS; VISCOELASTIC MODELS;

FLUIDS; MAXWELL EQUATIONS; MODELS; SPHERES; STEADY FLOW; VISCOELASTICITY;

BOUNDARY ELEMENT METHOD;

EID: 71749108169     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2009.09.002     Document Type: Article

References (25)

1. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions (1965), Dover
2. Allen J.S., and Roy R.A. Dynamics of gas bubbles in viscoelastic fluids. Linear viscoelasticity. J. Acoust. Soc. Am. 107 6 (2000) 3167-3178
3. Bird R.B., Armstrong R.C., and Hassager O. Dynamics of Polymeric Liquids (1987), John Wiley & Sons
4. Blake J.R., Taib B.B., and Doherty G. Transient cavities near boundaries. Part 1. Rigid boundary. J. Fluid Mech. 170 (1986) 479-497
5. Brennen C.E. Cavitation and Bubble Dynamics (1995), Oxford University Press
6. Brujan E.A. A first order model for bubble dynamics in a compressible viscoelastic liquid. J. Non-Newtonian Fluid Mech. 84 (1999) 83-103
7. Brujan E.A. The equation of bubble dynamics in a compressible linear viscoelastic liquid. Fluid Dyn. Res. 29 (2001) 287-294
8. Brujan E.A. Shock wave emission from laser-induced cavitation bubbles in polymer solutions. Ultrasonics 48 (2008) 423-426
9. Brujan E.A. Cavitation bubble dynamics in non-Newtonian fluids. Polym. Eng. Sci. 49 (2009) 419-431
10. Brujan E.A., Al-Hussany A.F.H., Williams R.L., and Williams P.R. Cavitation erosion in polymer aqueous solutions. Wear 264 (2008) 1035-1042
11. Brujan E.A., Ikeda T., and Matsumoto Y. Dynamics of ultrasound-induced cavitation bubbles in non-Newtonian liquids and near a rigid boundary. Phys. Fluids 16 (2004) 2402
12. Brujan E.A., Ohl C.D., Lauterborn W., and Philipp A. Dynamics of laser-induced cavitation bubbles in polymer solutions. Acoustica 82 (1996) 423-430
13. Brujan E.A., and Williams P.R. Rheology Reviews (2005), British Society of Rheology pp. 147-172
14. Chahine G.L., and Fruman D. Dilute polymer solution effects on bubble growth and collapse. Phys. Fluids 22 (1979) 1406-1407
15. Ellis A.T., and Ting R.Y. Non-Newtonian effects on flow generated cavitation in a pressure field. Fluid Mech. Acoust. Des. Turbomach. 1 (1974) 403-421
16. Fogler H.S., and Goddard J.D. Oscillations of a gas bubble in viscoelastic liquids subject to acoustic and impulsive pressure variations. J. Appl. Phys. 42 1 (1971) 259-263
17. Fogler H.S., and Goddard J.D. Collapse of spherical cavities in viscoelastic fluids. Phys. Fluids 13 5 (1970) 1135-1141
18. Joseph D.D., and Liao T.Y. Potential flows of viscous and viscoelastic fluids. J. Fluid Mech. 265 (1994) 1-23
19. Khayat R.E. Three-dimensional boundary element analysis of drop deformation in confined flow for Newtonian and viscoelastic systems. Int. J. Numer. Meth. Fluids 34 (2000) 241-275
20. Kim C. Collapse of spherical cavities in Maxwell fluids. J. Non-Newtonian Fluid Mech. 55 (1994) 37-58
21. Li J. General explicit difference formulas for numerical differentiation. J. Comput. Appl. Math. 183 (2005) 29-52
22. Macosko C.W. Rheology - Principles, measurements, and applications (1994), Wiley-VCH
23. Paris F., and Canas J. Boundary Element Method Fundamentals and Applications (1997), Oxford University Press
24. Tanasawa I., and Yang W.J. Dynamic behaviour of a gas bubble in viscoelastic liquids. J. Appl. Phys. 41 11 (1970) 4526-4531
25. Tsujino T. Cavitation damage and noise spectra in a polymer solution. Ultrasonics 25 (1987) 67-72