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Rayleigh limits for effective wavenumbers of randomly distributed porous cylinders in a fluid
Hervé Franklin, Jean-Marc, Conoir

Rayleigh limits for effective wavenumbers of randomly distributed porous cylinders in a fluid

Author / Organization:
Science & Mathematics Published 2015 Verification Pending

Overview & Synopsis

We consider wave propagation in a fluid containing parallel porous cylinders randomly distributed in space. The effective wavenumber of the coherent wave in the medium is derived at the Rayleigh limit for explicit formulas ISA (Independent Scattering Approximation), Waterman and Truell (WT) and Linton and Martin (LM) as well as for implicit formulas, i.e. CPA (Coherent Potential Approximation) and GSCM (General Self Consistent Method) applied to WT and to LM. When the porosity of the cylinders tends to zero the well known cases of an assortment of random elastic cylinders in fluid is found.

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Document Information

Document Title Rayleigh limits for effective wavenumbers of randomly distributed porous cylinders in a fluid
Author / Organization Hervé Franklin, Jean-Marc, Conoir
Subject & Discipline Multidisciplinary Academic Open Research
Categories Science & Mathematics
Publication Year 2015
License / Rights Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website HAL Open Science (hal.science)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-36916
Original Source Link Visit Source Page on hal.science »