Acoustic waves in cylindrical gap, filled by polymeric liquid

Propagation of acoustic waves in thin-walled elastic tube with coaxial internal rigid rod is investigated in conjugated quasi-one-dimensional formulation. The cylindrical gap between the tube's wall and the central rod is filled by polymeric liquid, described by hereditary model with a discrete spectrum. Dynamics of the tube is treated within Kirchhoff-Love approximation. The dispersion equation accounting for viscoelastic effects in the fluid in coupling with inertia, radial and longitudinal deformations of the tube's wall has been obtained. Its analysis has showed strong influence of the liquid's rheological properties and geometrical parameters of the system on pressure signals dispersion and attenuation. The results can be used for rheological characterization of polymeric liquids by acoustic means. (C) 2002 Elsevier Science B.V. All rights reserved.