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Influence of viscosity on the reflection and transmission of an acoustic wave by a periodic array of screens: the general 3-D problem

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Publication:661593
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DOI10.1016/j.wavemoti.2007.05.006zbMath1231.76271OpenAlexW1964882528WikidataQ30492031 ScholiaQ30492031MaRDI QIDQ661593

Dorel Homentcovschi, Ronald N. Miles

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc2441451


zbMATH Keywords

diffractionviscosityacoustic waveMEMSgrating


Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydro- and aero-acoustics (76Q05)




Cites Work

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  • Reflection and transmission of scalar waves by a periodic array of screens
  • The numerical evaluation of principal value integrals by finite-part integration
  • On the diffraction of sound waves in a viscous medium
  • Generalised functions and their convolution
  • Integration of Prandtl’s equation with the aid of quadrature formulae of Gauss type
  • Explicit analytical results for one-mode oblique penetration into a periodic array of screens


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