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Dynamics of a Spherical Microcavity in a Polymeric Liquid

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Abstract

The formation and collapse of a vapor microcavity (microbubble) in aqueous solutions of polyacrylamide with a molecular mass of 0.5–11 million and concentration of 0–6% is studied experimentally. A microbubble less than 100 μm in size is formed as a result of local superheating of the liquid by a microheater. Using stroboscopic visualization, the microbubble evolution is investigated in detail. At high polymer concentrations and low molecular masses, a slowing of bubble collapse is noted. On the range of parameters considered, no radical change in microbubble dynamics due to the action of polymeric additives was observed.

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REFERENCES

  1. J.D. Meyer, A.V. Bazilevsky, and A.N. Rozhkov, "Effects of polymeric additives on thermal ink jets," in: Proc. IS&T'sNIP13: Intern. Conf. Digital Printing Technol. 1997, Seattle, USA, IS&T (1997), pp. 675–680.

  2. K. Tsuchii, Y. Tamura, A. Asai, and H. Yaegashi, "Analysis of bubble pressure in bubble jet printing technology," in: The 9th Intern. Congr. Advances in Non-Impact Printing Technol./ Japan Hardcopy' 93, Pasifico Yokohama, Yokohama, Japan, IS&T (1993), pp. 235–236.

  3. B. É. Vyz'menskii, "Effect of polymeric additives on cavitation," Inzh. Fiz. Zh., 25, No. 6, 1052–1055 (1973).

    Google Scholar 

  4. V. Ashworth and R.P.M. Proster, "Cavitation damage in dilute polymer solutions," Nature, 258, 64–66 (1975).

    Google Scholar 

  5. I. F. Shapoval and K.K. Shalk'nev, "Investigation of cavitation and erosion in polyacrylamide aqueous solutions," Dokl. Akad. Nauk SSSR, 237, No. 3, 537–540 (1977).

    Google Scholar 

  6. H. S. Fogler and J.D. Goddard, "Collapse of spherical cavities in viscoelastic fluids," Phys. Fluids, 13, No. 5, 1135–1141 (1970).

    Google Scholar 

  7. M. A. Brutyan and P. L. Prapivsky, "Collapse of spherical bubbles in viscoelastic liquids," Quart. J. Mech. Appl Math., 44, Pt. 4, 549–557 (1991).

    Google Scholar 

  8. G. Ryskin, "Dynamics and sound emission of a spherical cavitation bubble in a dilute polymer solution," J. Fluid. Mech., 218, 239–263 (1990).

    Google Scholar 

  9. G. Pearson and S. Middleman, "Elongational flow behavior of viscoelastic liquids," AIChE J., 23, No. 5, 714–725 (1977).

    Google Scholar 

  10. G. Pearson and S. Middleman, "Elongational flow behavior of viscoelastic liquids: Modeling bubble dynamics with viscoelastic constitutive relations, "Rheol. Acta, 17, No. 5, 500–510 (1978).

    Google Scholar 

  11. E.A. Brujan, "Bubble dynamics in a compressible shear-thinning liquid," Fluid. Dyn. Research, 23, No. 5, 291–318 (1998).

    Google Scholar 

  12. R.Y. Ting, "Viscoelastic effect of polymers on single bubble dynamics," AIChE J., 21, 810–813 (1975).

    Google Scholar 

  13. R.Y. Ting, "Effect of polymer viscoelasticity on the initial growth of a vapor bubble from gas nuclei," Phys. Fluids, 20, No. 9, 1427–1431 (1977).

    Google Scholar 

  14. H. S. Fogler and J.D. Goddard, "Oscillations of a gas bubble in viscoelastic liquids subject to acoustic and impulsive pressure variations," J. Appl. Phys., 42, No. 1, 259–263 (1971).

    Google Scholar 

  15. W.J. Yang and M.L. Lawson, "Bubble pulsation and cavitation in viscoelastic liquids," J. Appl. Phys., 45, No. 2, 754–758 (1974).

    Google Scholar 

  16. R.Y. Ting and A.T. Ellis, "Bubble growth in dilute polymer solutions," Phys. Fluids, 17, No. 7, 1461–1462 (1974).

    Google Scholar 

  17. G. L. Chahine and D. H. Fruman, "Dilute polymer solution effects on bubble growth and collapse," Phys. Fluids, 22, No. 7, 1406–1407 (1979).

    Google Scholar 

  18. P. S. Kezios and W. R. Schowalter, "Growth and collapse of single bubbles in polymer solutions undergoing shear," Phys. Fluids, 29, No. 10, 3172–3181 (1986).

    Google Scholar 

  19. S.W.J. Brown and P.R. Williams, "Bubble collapse and liquid jet formation in non-Newtonian liquids," AIChE J., 45, 2653–2656 (1999).

    Google Scholar 

  20. P.R. Williams, S.W.J. Brown, and P.M. Williams, "A study of liquid jets formed by bubble collapse in elastic and Newtonian liquids," J. Non-Newton. Fluid Mech., 76, 307–325 (1998).

    Google Scholar 

  21. E. Johnson and S. Middleman, "Elongational flow of polymer melts," Polym. Eng. Sci., 17, No. 12, 963–968 (1978).

    Google Scholar 

  22. A.V. Bazilevsky, J.D. Meyer, and A.N. Rozhkov, "Effects of polymeric additives on vapor bubble dynamics in thermal ink jet printing," in: Proc. IS&T'sNIP14: Intern. Conf. Digital Printing Technol. 1998, Toronto, Canada, IS&T (1998), pp. 15–18.

  23. J. Meyer, A.V. Bazilevsky, and A.N. Rozhkov, "Effects of polymer additives on vapor bubble dynamics in thermal ink jet printing," in: Recent Progress in Ink Jet technologies. II. Ed. E. Hanson, series editor; R. Eschbach, IS&T (1999), pp. 291–294.

  24. R. I. Nigmatulin, Dynamics of Multiphase Media. V.1, Hemisphere,W ashington (1990).

    Google Scholar 

  25. R.T. Knapp, J.W. Daily, and F.G. Hammitt, Cavitation, McGraw-Hill Book Co., New York (1970).

    Google Scholar 

  26. D.H. Fruman, "Effects of non-Newtonian fluids on cavitations," in: Advances in the Flow and Rheology of Non-Newtonian Fluids. Part A, (Eds. D.A. Siginer, D. De Kee, and R.P. Chhabra), Elsevier, New York (1999).

    Google Scholar 

  27. E.J. Hinch, "Mechanical model of dilute polymer solutions in strong flows, Phys. Fluids, 20, N0. 10, Pt. 2, S22–S30 (1977).

    Google Scholar 

  28. V. M. Entov, V. I. Kordonskii, I. V. Prokhorov, A. N. Rozhkov, A. I. Toropov, Z. P. Shul'man, and A. L. Yarin, "Intense elongation of polymer solutions," Dokl. Akad. Nauk SSSR, 301, No. 4, 867–870 (1988).

    Google Scholar 

  29. V. M. Entov, V. I. Kordonskii, I. V. Prokhorov, A. N. Rozhkov, A. I. Toropov, Z. P. Shul'man, and A. L. Yarin, "Intense elongation of polymer solutions with moderate concentration," High-Molecul. Composit. Ser. A., 30, No. 12, 2486–2491 (1988).

    Google Scholar 

  30. R.P. Taleyarkhan, C.D. West, J.S. Cho, J. Lahey, Jr., R.I. Nigmatulin, and R.C. Block, "Evidence for nuclear emissions during acoustic cavitation," Science, 295, No. 5561, 1868–1873 (2002).

    Google Scholar 

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Bazilevskii, A.V., Meier, D.D. & Rozhkov, A.N. Dynamics of a Spherical Microcavity in a Polymeric Liquid. Fluid Dynamics 38, 351–362 (2003). https://doi.org/10.1023/A:1025171704005

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