Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Acoustic diffraction by a half-plane in a viscous fluid medium.

Anthony M J Davis1, Raymond J Nagem

  • 1Mathematics Department, University of Alabama, Tuscaloosa 35487-0350, USA.

The Journal of the Acoustical Society of America
|October 26, 2002
PubMed
Summary

This study analyzes acoustic plane wave diffraction by a rigid half-plane in a viscous fluid. Viscosity significantly impacts the velocity field near the half-plane edge, as shown by analytical and numerical results.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Stokes flow singularities in a two-dimensional channel: a novel transform approach with application to microswimming.

Proceedings. Mathematical, physical, and engineering sciences·2013
Same author

Thermal and viscous effects on sound waves: revised classical theory.

The Journal of the Acoustical Society of America·2012
Same author

Vorticity dynamics and sound generation in two-dimensional fluid flow.

The Journal of the Acoustical Society of America·2007
Same author

Acoustic scattering by a rigid elliptic cylinder in a slightly viscous medium.

The Journal of the Acoustical Society of America·2007
Same author

Curle's equation and acoustic scattering by a sphere.

The Journal of the Acoustical Society of America·2006
Same author

Influence of viscosity on the diffraction of sound by a circular aperture in a plane screen.

The Journal of the Acoustical Society of America·2003

Area of Science:

  • Acoustics
  • Fluid Dynamics
  • Wave Diffraction

Background:

  • Acoustic wave propagation in fluids is fundamental.
  • Understanding diffraction phenomena is crucial for various applications.
  • The effect of fluid viscosity on wave diffraction is complex.

Purpose of the Study:

  • To analyze the diffraction of time-harmonic acoustic plane waves by a rigid half-plane.
  • To investigate the influence of fluid viscosity on the scattered velocity field.
  • To provide analytical and numerical solutions for this specific boundary value problem.

Main Methods:

  • Linearized equations for viscous fluid flow.
  • No-slip boundary condition on the rigid half-plane.
  • Derivation and solution of disjoint Wiener-Hopf equations.

Related Experiment Videos

  • Padé approximation for the Wiener-Hopf kernel function.

    • Main Results:

    • Analytical expressions for specific wave components of the scattered velocity field.
    • Numerical results illustrating the effect of viscosity.
    • Demonstration of stress integrability near the half-plane edge.

    Conclusions:

    • The study provides a comprehensive analysis of acoustic wave diffraction in a viscous medium.
    • Viscosity plays a critical role in shaping the velocity field near the diffracting object.
    • The developed methods offer insights into wave-structure interactions in viscous fluids.