Liquid Temperature Effect on Sound Propagation in Polymeric Solution with Gas Bubbles
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33087
Liquid Temperature Effect on Sound Propagation in Polymeric Solution with Gas Bubbles

Authors: S. Levitsky

Abstract:

Acoustic properties of polymeric liquids are high sensitive to free gas traces in the form of fine bubbles. Their presence is typical for such liquids because of chemical reactions, small wettability of solid boundaries, trapping of air in technological operations, etc. Liquid temperature influences essentially its rheological properties, which may have an impact on the bubble pulsations and sound propagation in the system. The target of the paper is modeling of the liquid temperature effect on single bubble dynamics and sound dispersion and attenuation in polymeric solution with spherical gas bubbles. The basic sources of attenuation (heat exchange between gas in microbubbles and surrounding liquid, rheological and acoustic losses) are taken into account. It is supposed that in the studied temperature range the interface mass transfer has a minor effect on bubble dynamics. The results of the study indicate that temperature raise yields enhancement of bubble pulsations and increase in sound attenuation in the near-resonance range and may have a strong impact on sound dispersion in the liquid-bubble mixture at frequencies close to the resonance frequency of bubbles.

Keywords: Sound propagation, gas bubbles, temperature effect, polymeric liquid.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1107774

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2273

References:


[1] R. Kazys, L. Mazeika, R. Sliteris, and R. Raisutis, "Measurement of viscosity of highly viscous non-Newtonian fluids by means of ultrasonic guided waves," Ultrasonics, vol. 54, pp. 1104-1112, 2014.
[2] C. Glorieux, J. Descheemaeker, J. Vandenbroeck, J. P. Groby, L. Boeckx, P. Khurana, et al., "Temperature and frequency dependence of the visco-elasticity of a poro-elastic layer," Appl. Acoust., vol. 83, pp. 123-126, 2014.
[3] T.J. Leighton, The Acoustic Bubble, Academic Press, San Diego, 1994.
[4] W.J. Yang, and H.C. Yeh, "Approximate method for the determining of bubble dynamics in non-Newtonian fluids", Phys. Fluids, vol. 8, pp. 758-760, 1965.
[5] J.R. Street, "The rheology of phase growth in elastic liquids", Trans. Soc. Rheol., vol. 12, pp. 103-131, 1968.
[6] S.P. Levitsky, and A.T. Listrov, "Small oscillations of a gas-filled spherical chamber in viscoelastic polymer media", J. Appl. Mech. Techn. Phys., vol. 15, pp. 111–115, 1974.
[7] S.P. Levitsky, and Z.P. Shulman, Bubbles in Polymeric Liquids. Dynamics and Heat-Mass Transfer. Lancaster, USA: Technomic Publishing Co., Inc., 1995.
[8] E.A. Brujan, "A first-order model for bubble dynamics in a compressible viscoelastic liquid", J. of Non-Newtonian Fluid Mech., vol. 84, pp. 83- 103, 1999.
[9] J.S. Allen, and R.A. Roy, "Dynamics of gas bubbles in viscoelastic fluids. I. Linear viscoelasticity", J. Acoust. Soc. Am., vol. 107, pp. 3167- 3178, 2000.
[10] S.P. Levitsky, and Z.P. Shulman, "Bubble dynamics and boiling of polymeric solutions", in Handbook of Solvents, 2nd ed., ch. 7.2, G. Wypych, Ed. Toronto: ChemTec Publishing, 2014, pp. 367-402.
[11] J. Naude, and F. Mendez, "Periodic and chaotic acoustic oscillations of a gas bubble immersed in an Upper Convective Maxwell fluid", J. Non- Newtonian Fluid Mech., vol. 155, pp. 30–38, 2008.
[12] E.A. Brujan, T. Ikeda, and Y. Matsumoto, "Dynamics of ultrasoundinduced cavitation bubbles in non-Newtonian liquids and near a rigid boundary", Phys. Fluids, vol. 16, pp. 2402-2410, 2004.
[13] Z.P. Shulman, and S.P. Levitsky, "Sound dispersion in a relaxing polymer fluid with bubbles", J. Eng. Phys. Thermophys., vol. 48, pp. 50- 54, 1985.
[14] S.P. Levitsky, and Z.P. Shulman, "Propagation of sound waves in polymeric liquid with vapor-gas bubbles", Soviet Phys. Acoust., vol. 31, pp. 208-212, 1985.
[15] R. B. Bird, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids. Vol. 1: Fluid Mechanics. John Wiley & Sons, 1987.
[16] Z.P. Shulman, and S.P. Levitsky, "Heat/mass transfer and dynamics of bubbles in high-polymer solution – II. Oscillations in a sound field", Int. J. Heat Mass Transfer, vol. 35, pp. 1085-1090, 1992.
[17] R.I. Nigmatulin, Dynamics of multiphase media. Washington: Hemisphere, 1991.
[18] A.Y. Malkin, "The state of the art in the rheology of polymers: Achievements and challenges," Polym. Sci. Ser. A, vol. 51, pp. 80-102, 2009.
[19] V. Budtov, Physical Chemistry of Polymer Solutions. St Petersburg: Chemistry, 1992.
[20] Z.P. Shulman, and S.P. Levitsky, "Heat/mass transfer and dynamics of bubbles in high-polymer solution – I. Free Oscillations", Int. J. Heat Mass Transfer, vol. 35, pp. 1077-10844, 1992.
[21] G.K. Batchelor, “Waves in gas bubbles suspension“, in Fluid Dynamics Transactions, vol. 4, Fiszdon, W., Kucharczyk, P. and Prosnak, W.J., Eds. Warszawa, 1968, pp. 65-84.
[22] S. Levitsky, R. Bergman, and J. Haddad, “Fluid rheology effect on wave propagation in an elastic tube with viscoelastic liquid, containing fine bubbles”, J. Non-Newtonian Fluid Mech., vol. 165, pp. 1473-79, 2010.