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Acoustic waves in cylindrical gap, filled by polymeric liquid.

S Levitsky1, R Bergman, J Haddad

  • 1Negev Academic College of Engineering, Beer-Sheva, Israel. levits@nace.ac.il

Ultrasonics
|August 6, 2002
PubMed
Summary

This study analyzes acoustic wave propagation in a tube filled with polymeric liquid. The liquid

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Area of Science:

  • Acoustics
  • Materials Science
  • Rheology

Background:

  • Investigating acoustic wave propagation in confined fluids is crucial for understanding complex material behaviors.
  • Thin-walled elastic tubes with internal structures present unique challenges for wave dynamics analysis.

Purpose of the Study:

  • To investigate the propagation of acoustic waves in a thin-walled elastic tube containing a coaxial rigid rod filled with a polymeric liquid.
  • To develop a model that accounts for the viscoelastic properties of the fluid and the mechanical dynamics of the tube.

Main Methods:

  • Utilized a conjugated quasi-one-dimensional formulation for wave propagation analysis.
  • Employed Kirchhoff-Love approximation for the tube's dynamics.
  • Described the polymeric liquid using a hereditary model with a discrete spectrum.

Main Results:

  • Derived a dispersion equation incorporating viscoelastic fluid effects and tube wall deformations (inertia, radial, longitudinal).
  • Demonstrated a significant influence of the liquid's rheological properties and system geometry on acoustic signal dispersion and attenuation.
  • Observed strong coupling between fluid viscoelasticity and tube wall dynamics.

Conclusions:

  • The study provides a theoretical framework for understanding acoustic wave behavior in such systems.
  • The findings suggest that acoustic methods can be effectively used for rheological characterization of polymeric liquids.
  • Highlights the importance of considering both fluid and structural properties for accurate wave propagation modeling.

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