Acoustic waves in thin-walled elastic tube with polymeric solution

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

“…(12) the boundary condition (v r ) |r=R =u r for the radial liquid velocity at the tube wall is used. The amplitude of transient friction in liquid at the wallˆ R was calculated in [28] in quasi-hydraulic approximation [24] from the solution of the momentum balance equation for oscillatory flow of incompressible viscoelastic liquid in a tube. The result has the form:…”

“…The dispersion equation for pressure waves in the waveguide follows from Eqs. (11)-(13), (20), (21), (24), (25), (29). After some cumbersome calculations it can be reduced to:…”

“…Sound waves in a thin-walled elastic tube with viscoelastic liquid, following the generalized linear Maxwell model with an additional solvent term, were investigated in [28,29]. The problem was solved within the conjugated quasi-one-dimensional formulation.…”

“…The approach we use is based on the model developed in [28]; the effect of microbubbles is accounted for through the mixture dynamic equation of state [30]. Configuration of the waveguide is shown in Fig.…”

Monitoring the rheological properties and solid content of selected food materials contained in cylindrical cans using audio frequency sound waves

“…However, in the case of a container with thin flexible walls, the attenuation coefficient cannot be obtained by a simple expression due to the complex interactions between the movable container walls and the fluid medium. A detailed numerical analysis of this problem is given in studies by Segura (2000) and Levitsky et al (2000). It should be noted that a container is considered to have thick rigid walls when its walls do not yield or deform as a result of the pressure changes occurring during the passage of the sonic waves though the contained liquid.…”