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The dynamics of cavity clusters in polymer aqueous solutions subjected to an oscillating pressure

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Bubble Dynamics and Interface Phenomena

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 23))

Abstract

A clarification of the effect of polymers on cavitation phenomena is an important and interesting subject in the field of fluid dynamics. In the present paper, the behavior of cavity clusters in polymer aqueous solutions subjected to an ultrasonic oscillation are studied. The validity of the model of bubble cluster dynamics in Newtonian fluids, proposed by Hansson and Mørch, is examined by observation of a cavity cluster in a polymer solution. Secondly, the motions of cavity cluster in non-Newtonian fluids are theoretically analysed. According to numerical calculations, the effects of the amplitude and frequency of the oscillating pressure on the collapsing process of the clusters in a polymer solution are made clear.

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References

  1. Ellis, A.T., Waugh, J.G. and Ting, R.Y. : 1970, ‘Cavitation suppression and stress effects in high-speed flows of water with dilute macromolecule additives’, J. Basic Engineering, Trans. ASME, Vol.92, No.3, pp.459–466.

    Article  Google Scholar 

  2. Brennen, C. : 1970, ‘Some cavitation experiments with dilute polymer solutions’, J. Fluid Mech., Vol.44, part 1, pp.51–63.

    Article  ADS  Google Scholar 

  3. Hoyt, J.W. : 1976, ‘Effect of polymer additives on jet cavitation’, J. Fluids Engineering, Trans. ASME, Vol.98, No.l, pp.106–112.

    Article  Google Scholar 

  4. Hoyt, J.W. and Taylor, J.J. : 1981, ‘A photographic study of cavitation in jet flow’, J. Fluids Engineering, Trans. ASME, Vol.103, No.l, pp.14–18.

    Article  Google Scholar 

  5. Ting, R.Y. : 1978, ‘Characteristics of flow cavitation in dilute solutions of polyethylene oxide and polyacrylamide’, Phys. Fluids, Vol.21, No.6, pp.898–901.

    Article  ADS  Google Scholar 

  6. Reitzer, H., Gebel, C. and Scrivener, O. : 1985, ‘Effect of polymeric additives on cavitation and radiated noise in water flowing past a circular cylinder’, J. Non-Newtonian Fluid Mech., Vol.18, pp.71–79.

    Article  Google Scholar 

  7. Tsujino, T. : 1987, ‘Cavitation damage and noise spectra in a polymer solution’, Ultrasonics, Vol.25, pp.67–72.

    Article  Google Scholar 

  8. Ashworth, V. and Procter, R.P.M. : 1974, ‘Cavitation damage in dilute polymer solutions’, Nature, Vol.258, No.6, pp.64–66.

    ADS  Google Scholar 

  9. Shapoval, I.F. and Shal‘nev, K.K. : 1977, ’Cavitation and erosion in aqueous solutions of polyacrylamide, Sov. Phys. Dokl., Vol.22, No.11, pp.635–637.

    ADS  Google Scholar 

  10. Hara, S.K. and Schowalter, W.R. : 1984, ‘Dynamics of nonspherical bubbles surrounded by viscoelastic fluid’, J. Non-Newtonian Fluid Mech., Vol.14, pp.249–264.

    Article  MATH  Google Scholar 

  11. Papanastasiou, A.C., Scriven, L.E. and Macosko, C.W. : 1984, ‘ Bubble growth and collapsein viscoelastic liquids analyzed’, J. Non-Newtonian Fluid Mech., Vol.16, pp.53–75.

    Article  MATH  Google Scholar 

  12. Tsujino, T., Shima, A. and Tanaka, J. : 1988, ‘Effect of viscoelasticity on bubble collapse and induced impulsive pressure’, Rep. Inst. High Speed Mech., Tohoku Univ., Vol.55, pp.1–15.

    Google Scholar 

  13. Brutyan, M.A. and Krapivsky, P.L. : 1991, ‘Collapse of spherical bubbles in viscoelastic liquids’, Q. JI Mech. Appl. Math., Vol.44, Pt.4, pp.549–557.

    Article  MathSciNet  MATH  Google Scholar 

  14. Shima, A., Tsujino, T. and Yokoyama, K. : 1992, ‘Bubble behavior in viscoelastic fluids of four-constant and five-constant Oldroyd models’, Rep. Inst. Fluid Sci., Tohoku Univ., Vol.4, pp.1–23.

    Google Scholar 

  15. Shima, A. and Tsujino, T. : 1982, ‘On the dynamics of bubbles in polymer aqueous solutions’, Appl. Sci. Res., Vol.38, pp.255–263.

    Article  MATH  Google Scholar 

  16. Kee, D.De., Ohhabra, R.P. and Dajan, A. : 1990, ‘Motion and coalescence of gas bubbles in non-Newtonian polymer solutons’, J. Non-Newtonian Fluid Mech., Vol.37, pp.1–18.

    Article  Google Scholar 

  17. Ryskin, G. : 1990, ‘Dynamics and sound emission of a spherical cavitation bubble in a dilute polymer solution’, J. Fluid Mech., Vol.218, pp.239–263.

    Article  ADS  MATH  Google Scholar 

  18. Shulman, Z.R and Levitskiy, S.P. : 1992, ‘Heat/mass transfer and dynamics of bubbles in high-polymer solutions -1. Free oscillations’, Int. J. Heat Mass Transfer, Vol.35, No.5, pp.1077–1084.

    Article  MATH  Google Scholar 

  19. Shima, A., Tsujino, T., Nanjo, H. and Miura, N. : 1985, ‘ Cavitation damage in polymer aqueous solutions’, J. Fluids Engineering, Trans. ASME, Vol.107, No.l, pp. 134–138.

    Article  Google Scholar 

  20. Tsujino, T., Shima, A. and Nanjo, H. : 1986, ‘Effects of various polymer additives on cavitation damage’, Proc. Instn. Mech. Engrs., Vol.200, No.C4, pp.231–235.

    Google Scholar 

  21. Nanjo, H., Shima, A. and Tsujino, T. : 1986, ‘Formation of damage pits by cavitation in a polymer solution’, Nature, Vol.320, No.6062, pp.516–517.

    Article  ADS  Google Scholar 

  22. Shima, A., Rajvanshi, S.C. and Tsujino, T. : 1985, ‘Study of nonlinear oscillations of bubbles in Powell-Eyring fluids’, J. Acoust. Soc. Am., Vol.77, No.5, pp.1702–1709.

    Article  ADS  Google Scholar 

  23. Shima, A., Tsujino, T. and Nanjo, H. : 1985, ‘Nonlinear oscillations of gas bubbles in viscoelastic fluids’, Ultrasonics, Vol.24, pp.142–148.

    Article  Google Scholar 

  24. Hansson, I. and Mørch, K.A. : 1980, ‘The dynamics of cavity clusters in ultrasonic (vibratory) cavitation erosion’, J. Appl. Phys., Vol.51, No.9, pp.4651–4658.

    Article  ADS  Google Scholar 

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© 1994 Springer Science+Business Media Dordrecht

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Shima, A., Tsujino, T. (1994). The dynamics of cavity clusters in polymer aqueous solutions subjected to an oscillating pressure. In: Blake, J.R., Boulton-Stone, J.M., Thomas, N.H. (eds) Bubble Dynamics and Interface Phenomena. Fluid Mechanics and Its Applications, vol 23. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0938-3_8

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  • DOI: https://doi.org/10.1007/978-94-011-0938-3_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4404-2

  • Online ISBN: 978-94-011-0938-3

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