Liquid Temperature Effect on Sound Propagation in Polymeric Solution with Gas Bubbles
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.
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:70509", author = "S. Levitsky", title = "Liquid Temperature Effect on Sound Propagation in Polymeric Solution with Gas Bubbles", 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.", volume = "9", number = "7", pages = "1278-6", }
