**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30178

##### Liquid Temperature Effect on Sound Propagation in Polymeric Solution with Gas Bubbles

**Authors:**
S. Levitsky

**Abstract:**

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

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

**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.