Abstract
The present work describes a physico-mathematical model for the dynamics of a single spherical gas/vapor bubble of uniform instantaneous pressure in an incompressible liquid under the action of an acoustic field. A noteworthy feature of the model is a detailed treatment of vapor/liquid phase change and of gas diffusion across the bubble/liquid interface. These phenomena may significantly affect the dynamics of the bubble/liquid system under some pressure-temperature ambient conditions. The temporal evolution of thermodynamic fields of interest has been computed for an air/water-vapor bubble of initial radius 10−3 cm in water under the action of a monochromatic acoustic field for ambient pressures of 0.1 and 1 bar and for ambient temperatures of 20 and 40 °C. For the numerical solution of the present physico-mathematical model a specific computational code, which utilizes coupled analytico-numerical techniques for ordinary and partial differential equations, has been developed.
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