Acoustic cavitation model based on a novel reduced order gas pressure law

The thermal behavior of a spherical gas bubble in liquid excited by an acoustic pressure signal is investigated constructing iterative solution the energy balance equations between and surrounding uniform approximation. This leads to hierarchy for radial partial derivatives temperature at wall, which control temporal rate change within bubble. In particular, closure relation introduced based on ansatz that approximates rapid state during collapse from almost isothermal adiabatic time averaging complex dynamics over relatively short characteristic time. This, turn, desired reduced order law exhibiting power dependence wall radius, with polytropic index depending isentropic exponent parameter function Péclet number scale. Results linear theory bubbles are recovered identifying this as Minnaert frequency. novel then validated against near-isothermal results numerical simulations original large amplitude oscillations using spectral methods. Consequently, cavitation model accounts phase but neglects mass diffusion constructed employing together Plesset–Zwick Keller–Miksis equation dynamics. obtained variable interface properties acoustically driven water show variations radius lie those laws value