Influence of Viscoelastic Properties on the Propagation of Small Amplitude Sound Waves

Sotolongo‐Costa, Oscar; Vázquez, Alexei; Antuña, José Marín

doi:10.1590/s0103-97331997000300007

Cited by 4 publications

(4 citation statements)

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“…Nonetheless, in this section we'll be aimed at modeling the problem of sound waves propagation in viscoelastic fluids flowing inside pipes. The influence of viscoelastic properties in sound wave propagation phenomena in infinite fluids and in wall bounded flows (inside straight pipes) has already been addressed in [18] and [2], respectively.…”

Section: Influence Of Compressibilitymentioning

confidence: 99%

“…[18] when the displacements of fluid particles in the wave are small compared with the wave length or equivalently, when the velocity of fluid particles in the wave is small compared with the velocity of sound. The formal solution for the total viscoelastic stress can be written as…”

Section: Influence Of Compressibilitymentioning

confidence: 99%

“…Moreover, in order to express the two unknowns in term of one of them it is convenient to take divergence in both sides of equation 41 and take the time derivative of equation 44. Then, it can readily be obtained the following equation describing the small oscillations of pressure (it was also derived in [18])…”

Section: Influence Of Compressibilitymentioning

confidence: 99%

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Non-Steady Wall-Bounded Flows of Viscoelastic Fluids Under Periodic Forcing

2014

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The problem of oscillating flows inside pipes under periodic forcing of viscoelastic fluids is addressed here. Starting from the linear Oldroyd-B model, a generalized Darcy's law is obtained in frequency domain and an explicit expression for the dependence of the dynamic permeability on fluid parameters and forcing frequency is derived. Previous results in both viscoelastic and Newtonian fluids are here shown to be particular cases of our results. On the basis of our calculations, a possible explanation for the observed damping of local dynamic response as the forcing frequency increases is given. Good fitting with recent experimental studies of wave propagation in viscoelastic media is here exhibited. Sound wave propagation in viscoelastic media flowing inside straight pipes is investigated. In particular, we obtain the local dynamic response for weakly compressible flows.

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Section: Influence Of Compressibilitymentioning

confidence: 99%

Section: Influence Of Compressibilitymentioning

confidence: 99%

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Non-Steady Wall-Bounded Flows of Viscoelastic Fluids Under Periodic Forcing

2014

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“…Additionally, the interaction between ultrasonic waves and viscoelastic fluids, such as polymer fluids with highly nonlinear and flow behavior, is more complicated. For most viscoelastic fluids, Costa et al [7] modeled the propagation of small amplitude sound waves in viscoelastic fluids and obtained the relationship between the bulk modulus and viscoelastic properties of polymer solutions. Özkök and Uludag [8] used ultrasonic wave propagation in a viscoelastic material to characterize its relaxation times, and the experimental measurements were in good agreement with those of a conventional rheometer.…”

Section: Introductionmentioning

confidence: 99%

Influence of viscoelasticity on ultrasonic propagation in poly(ethylene oxide) aqueous solution

Wu¹,

Huang²,

Liang³

et al. 2023

J. Phys. D: Appl. Phys.

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Generally, ultrasonic propagation in ultrasonic non-destructive testing is regarded as a linear process, during which the interaction between ultrasonic and the measured material is rarely considered. In this study, the mechanisms of ultrasonic propagation in viscoelastic Poly(ethylene oxide) (PEO) aqueous solution and the interaction between ultrasound and fluid were investigated. A theoretical model of ultrasonic propagation in the viscoelastic fluid was established, which added the body force from ultrasonic waves to the fluid momentum equation, and the viscoelasticity of fluid was described by the Oldroyd-B model. The simulation results in the ultrasonic reflection coefficient at the solid-liquid boundary and attenuation coefficient based on the multi-physics coupling method were experiment verified. The results of this study show that the ultrasonic absorption coefficient at low frequencies from 2.25~7.5MHz exhibits frequency dependence through ultrasonic relaxation spectroscopy. The simulation results of the velocity of disturbed flow during ultrasonic propagation show that the viscosity of the solution has a greater impact on the disturbance than the relaxation time, and the phase angle difference between the stress and strain also shows that the viscosity is the main factor affecting the ultrasonic propagation.

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