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 language | English |
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Journal | Acoustical Society of America. Journal |
Volume | 100 |
Issue number | 6 |
Pages (from-to) | 3706-3713 |
ISSN | 0001-4966 |
DOIs | |
Publication status | Published - 1996 |