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Flow acoustics in periodic structures.

M Willatzen1, L C Lew Yan Voon

  • 1Mads Clausen Institute for Product Innovation, University of Southern Denmark, Grundtvigs Alle 150, DK-6400 Sønderborg, Denmark. willatzen@mci.sdu.dk

Ultrasonics
|June 18, 2005
PubMed
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This study investigates sound speed in periodic elastic composites, specifically water-air mixtures with background flow. Acoustic waves couple to group velocities only when the wave vector aligns with the flow direction.

Area of Science:

  • Physics
  • Materials Science
  • Acoustics

Background:

  • Periodic elastic composites, or phononic crystals, can exhibit reduced sound speeds.
  • Applications include sound-beam focusing and acoustic surgery.
  • Previous work focused on static periodic structures.

Purpose of the Study:

  • To theoretically extend the analysis of sound speed in periodic elastic composites.
  • To investigate the effect of background flow on acoustic wave propagation.
  • To analyze dispersion relations and group velocities in periodic water-air mixtures with flow.

Main Methods:

  • Theoretical analysis of acoustic wave propagation in periodic structures.
  • Calculation of dispersion relations and group velocities.

Related Experiment Videos

  • Consideration of one- and two-dimensional periodicity with background flow (0-1 m/s).

    • Main Results:

    • Acoustic waves couple to group velocities only when the acoustic wave vector has a component along the background flow velocity direction.
    • Dispersion relations and group velocities were calculated for periodic water-air mixtures.
    • The study considered background flow values in the range of 0-1 m/s.

    Conclusions:

    • Background flow significantly influences acoustic wave behavior in periodic structures.
    • The direction of the acoustic wave vector relative to the flow is crucial for wave-flow coupling.
    • This research provides insights into the dynamics of phononic crystals under flow conditions.