Sound dispersion in a deformable tube with polymeric liquid and elastic central rod

Levitsky, S.; Bergman, R.; Haddad, J.

doi:10.1016/j.jsv.2003.06.021

Cited by 11 publications

(8 citation statements)

References 18 publications

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“…The expression for Q in relation (25) was simplified by noting for smallness of the bending stresses in the shell with respect to membrane stresses in the case of long waves [38].…”

Section: Tube Wall Dynamicsmentioning

confidence: 99%

Fluid rheology effect on wave propagation in an elastic tube with viscoelastic liquid, containing fine bubbles

Levitsky

Bergman

Haddad

2010

Journal of Non-Newtonian Fluid Mechanics

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“…The expression for Q in relation (25) was simplified by noting for smallness of the bending stresses in the shell with respect to membrane stresses in the case of long waves [38].…”

Section: Tube Wall Dynamicsmentioning

confidence: 99%

Fluid rheology effect on wave propagation in an elastic tube with viscoelastic liquid, containing fine bubbles

Levitsky

Bergman

Haddad

2010

Journal of Non-Newtonian Fluid Mechanics

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“…1, 2. It follows from Fig.1 that sound speed in a waveguide, made from polymeric material, is essentially less than, for instance, in aluminum one [4], which is explained by great difference in elastic modules. Sound speed, calculated with account for the wall viscoelasticity, is less than that one for pure elastic waveguide with E=E 0 in the low frequency range.…”

Section: Resultsmentioning

confidence: 87%

“…Dispersion and attenuation of acoustic waves in tubes with viscous liquid were investigated in a large number of papers; note here [1,2]. The features of liquid viscoelasticity in acoustics of different waveguides were studied in [3][4][5]. Both tube and liquid properties influence the wave propagation, and relaxational processes in the liquid phase can lead to essential changes in sound dispersion.…”

Section: Introductionmentioning

confidence: 99%

“…The expression for Q in Eq. (9) was simplified with account for smallness of the bending stresses in the shell with respect to the membrane ones in the case of long waves[4].The contact pressure is coupled with the liquid flow characteristics of the normal component of deviatoric stress at the tube wall rr can be calculated by a technique, similar to[3]. Using results of the previous section, this relation can be written in the form…”

mentioning

confidence: 99%

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Sound propagation in viscoelastic pipe with liquid-bubble mixture

Levitsky

Bergman

Haddad

2008

The Journal of the Acoustical Society of America

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Propagation of acoustic waves in thin-walled polymeric tube with viscous liquid is investigated. Dynamics of the tube-liquid interaction is described in conjugated quasi-one-dimensional approximation; the tube material is supposed to follow linear viscoelastic model with appropriate choice of compliance function. It is assumed that the liquid contains fine air bubbles; the concentration of free gas is supposed to be small. Compressibility of liquid in the wave in the presence of bubbles can be almost entirely attributed to compressibility of the gas phase; it is accounted for within dispersion equation for bubbly liquid. Both heat and viscous losses are included in the phase interaction description at the liquid-gas interface. The resulting dispersion equation for the waveguide with liquid-gas mixture is studied in a long-wave range, where sound length is larger from the waveguide diameter. Results of simulations illustrate strong influence of the pipe mechanical properties and parameters of the gas phase on sound dispersion and attenuation.

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“…This relation is appropriate for the whole long-wave range, which is especially important in view of the significant frequency dependence of the liquid's rheological parameters. A similar approach was also used for modeling sound propagation in different cylindrical waveguides filled with viscoelastic liquid (Levitsky et al, 2004(Levitsky et al, , 2007.…”

Section: Introductionmentioning

confidence: 99%

Effect of size‐distributed bubbles on acoustic properties of an elastic tube with polymeric liquid

Levitsky

Bergman²,

Haddad³

2012

Multidiscipline Modeling in Materials and Structures

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Purpose -The objective of this study is to model the influence of free gas, in the form of size-distributed fine bubbles, on sound attenuation and dispersion in a thin-walled elastic cylindrical tube filled with viscoelastic polymeric liquid. Design/methodology/approach -Sound wave propagation in the system is described within a three-phase interaction scheme, based on a quasi-homogeneous approach to liquid-gas mixture dynamics in the wave. Coupled equations of tube wall deformations and viscoelastic liquid dynamics in the tube are solved using a long-wave approximation. The dissipative losses, stemming from flow gradients in the wave, as well as from non-equilibrium bubble-liquid interaction, are accounted for. The dispersion equation for the waveguide is obtained and studied numerically. Findings -The results of the study indicate that bubble-size distribution in viscoelastic liquid has an essential impact on sound propagation in the tube at sufficiently high frequencies. The frequency range in which the mixture heterogeneity influences the acoustic properties of the system is sensitive to both the distribution parameters and the rheological properties of the liquid. As distinct to polydispersity features, the viscoelastic properties of liquid are also relevant in the low-frequency range, where they lead to an increase of the wave speed and a decrease of its attenuation. Originality/value -A model of sound wave propagation in a tube filled with a heterogeneous viscoelastic liquid-bubble mixture is formulated. The study provides a basis for modeling transient processes in tubes filled with polymeric liquids containing free gas, and for acoustic control of certain processes in polymer technologies.

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Sound dispersion in a deformable tube with polymeric liquid and elastic central rod

Cited by 11 publications

References 18 publications

Fluid rheology effect on wave propagation in an elastic tube with viscoelastic liquid, containing fine bubbles

Fluid rheology effect on wave propagation in an elastic tube with viscoelastic liquid, containing fine bubbles

Sound propagation in viscoelastic pipe with liquid-bubble mixture

Effect of size‐distributed bubbles on acoustic properties of an elastic tube with polymeric liquid

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