MODIFIED CELLULAR MODEL OF SOUND PROPAGATION IN DISPERSED MEDIA WITH LIQUID FILLER

Palvanov Murod Ravshanovich, Uvarova Lyudmila Alexandrovna

A modified cellular model of acoustic wave propagation in dispersed media with liquid filler, accounting for thermoviscous effects in the boundary layer, is proposed. A numerical algorithm for calculating effective sound velocity and attenuation coefficient for suspensions and emulsions over a wide range of dispersed phase concentrations is developed. Analysis of applicability of classical models (Biot, Kazakov, effective medium) is performed and boundaries of their use are established. It is shown that at volume concentrations above 0.2, viscous boundary layer thickness becomes comparable to mean distance between particles, leading to collective dissipation effects not described by classical theories. Methodological recommendations for selecting theoretical model depending on dispersed system parameters are developed, and calculation methodology for predicting acoustic properties of composite materials is proposed.

Keywords:numerical simulation, cellular model, dispersed media, acoustic properties, viscous losses, thermoviscous effects, methodological recommendations.