Evolution of the composition and changes in the nature of oscillations of a coagulating gas suspension in the wave field of an acoustic resonator

The article analyzes how the fractional composition of a gas suspension filling an acoustic resonator, which changes during coagulation, influences the characteristics of oscillations of the carrier medium and dispersed fractions at a fixed external excitation frequency. Longitudinal oscillations in the resonator are created by a piston moving according to a harmonic law with a constant frequency and amplitude. The change in the dispersity of the fractions, which occurs as a result of coagulation, changes the resonance frequency of the system and the nature of oscillations at a fixed piston oscillation frequency. The dynamics of the medium is described by a system of equations for the motion of a polydisperse gas suspension, which includes the carrier medium and several particle size fractions. The particle coagulation process is described using the Smoluchowski model, which takes into account the mass, momentum, and energy exchange between fractions during coalescence. It is shown that discontinuous oscillations form in the resonator oscillations of the gas suspension at the first eigenfrequency for longitudinal oscillations of the carrier medium. The subsequent movement of the dispersed phase to the nodes of the standing wave of the velocity field reduces the amplitude and changes the type of oscillations.