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

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This paper presents the results of numerical simulation of steam bubble growth in a uniformly superheated liquid. The numerical calculation scheme takes into account both inertial and thermal effects. The main regularities of the prosses are discussed by the example of different superheat levels and different liquids: water, mercury and glycerin. Simple estimations of characteristic times of the inertial and transition stages are offered.