Numerical analysis of the acoustic wave scattering mechanism on two sound-permeable spheres

Abstract

An analysis of acoustic wave scattering by two sound-permeable spheres exposed to a monopole radiation source is conducted. The analysis was performed using a numerical technique based on the orthogonal central compositional design method. This technique was implemented for a three-factor computational experiment, where one physical and two geometric parameters of the system were selected as factors. The objectives of the study are to identify factors whose changes significantly affect the entire system; find the values of the variable parameters for which the objective function takes optimal (minimum and maximum) values; and study the system at optimal parameter values. It is shown that the system with droplets is insensitive only for small wave radii, while the system with bubbles is insensitive only for large wave radii. Pressure distribution diagrams constructed for optimal system parameters made it possible to identify zones of pressure increase and decrease, which are highly dependent on the physical properties of the media.