Acoustic design of porous media with dimensionless numbers: redesign for new applications

Abstract

In order to facilitate the design of porous materials for new acoustic applications, using the background knowledge of previous engineering applications, Biot’s equations of sound propagation in porous media are fully rewritten with dimensionless numbers. For illustration, a first application is performed in which the dimensionless numbers are used to redesign an air saturated skeleton in order to obtain similar dissipative properties when the new designed skeleton is saturated with kerosene. A second application redesigns the steel skeleton using aluminium as base material conserving the dimensionless numbers and the acoustic properties. Dimensionless equations could also be useful to define equivalent experiments at different scales or equivalent frequencies.