Airflow resistivity of models of fibrous acoustic materials

Viggo Tarnow

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    Abstract

    A new way of calculating the airflow resistivity of randomly placed parallel cylinders is presented. The calculation is based on Voronoi polygons, and the resistivity is given by the mean spacing between the fibers, their diameters, and the physical properties of air. New explicit formulas for the resistivity are given, which are valid for the cylinder (fiber) concentrations found in acoustic materials. A one-dimensional model consisting of parallel plates with random spacing between the plates is first discussed. Then a two-dimensional model consisting of parallel cylinders randomly spaced is treated for flow parallel and perpendicular to the cylinders. The resistivity formulas are exact for plates and approximate for cylinders.
    Original languageEnglish
    JournalAcoustical Society of America. Journal
    Volume100
    Issue number6
    Pages (from-to)3706-3713
    ISSN0001-4966
    DOIs
    Publication statusPublished - 1996

    Bibliographical note

    Copyright (1996) Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America.

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