New semi-analytical solution of the problem of vapor bubble growth in superheated liquid.

摘要: This paper presents a mathematical model of the vapor bubble growth in an initially uniformly superheated liquid. takes into account simultaneously dynamic and thermal effects includes well-known classical equations: Rayleigh equation heat conductivity equation, written with consideration specifics associated process liquid evaporation. We have obtained semi-analytical solution to problem, which consists reducing initial boundary value problem moving system ordinary differential equations first order, valid wide range operating parameters at all its stages: from inertial thermal, including transitional one. It is shown that large times this consistent known solutions other authors framework energy model, particular, for high Jacob numbers, it Plesset-Zwick solution.