Mathematical simulation of the compression process of a vapor bubble at a pressure increase in the surrounding liquid

• Published in: Journal of engineering thermophysics Vol. 17; no. 4; pp. 300 - 310
• Main Authors: Desyatov, A. V., Il’mov, D. N., Kubyshkin, A. P., Cherkasov, S. G.
• Format: Journal Article
• Language: English
• Published: Dordrecht SP MAIK Nauka/Interperiodica 01.12.2008
• Subjects: Fluid- and Aerodynamics; Physics; Physics and Astronomy; Thermodynamics; Bubble Surface; Compression Process; Vapor Bubble; Engineer THERMOPHYSICS; Bubble Radius
• ISSN: 1810-2328; 1990-5432
• DOI: 10.1134/S181023280804005X

The thermophysical and hydrodynamic processes in a spherical vapor bubble and the surrounding liquid at increasing external pressure are investigated by using a numerical simulation method. The investigation is performed on the basis of a new mathematical model belonging to the class of models of homobaric bubbles (the pressure in the bubble is homogeneous at nonhomogeneous temperature and density). The model takes into account the following main physical effects: the viscosity of the liquid, the heat conductivity of the liquid and vapor, the surface tension, and the phase transitions at the bubble surface. An energy equation taking into account convective heat transfer and viscous dissipation in the liquid is used to calculate the temperature fields in the liquid and vapor. The model also takes into account the dependence of the thermophysical properties on the temperature. A distinctive feature of the proposed model is that the integral conservation law of the system’s total energy (including the kinetic energy of the liquid, the surface energy, and the internal energy of the liquid and vapor) is exactly satisfied (without allowance for the kinetic energy of the vapor). As a result of the numerical simulation of the compression of vapor bubbles in water, we obtained data for the major characteristics of the process at considerable degrees of compression. It is shown that the heat and mass transfer between the vapor in a bubble and the surrounding liquid considerably slow down the temperature increase in the bubble.