Effective bulk and mass densities of randomly distributed coated cylinders in fluid.

Abstract

Inhomogeneous media made of random configurations of coated circular cylinders are considered. The effective properties-wave number, mass density, bulk modulus-are discussed and illustrated. The effects of the volume fraction of the scatterers and surrounding fluid are also examined. Estimations of the effective bulk modulus and mass density are provided at the static limit with the aim of generalizing some existing results for uncoated cylinders to multicoated ones. In all cases, time harmonic waves are scattered and the Norris and Conoir [J. Acoust. Soc. Am. 129, 104-113 (2011)] multiple scattering expansion for the effective wavenumber used to derive the properties.