Calculation of quasi-dimensional flows of boiling liquid

The flow of superheated liquid from a variable-section pipe is studied within the framework of the single-speed two-temperature hyperbolic model of boiling liquid previously proposed by the author. The model is based on the conservation laws for each of mixture fractions and takes into account forces of interfractional interaction. The flow is calculated using a quasi-one-dimensional approximation; liquid fraction is considered to be incompressible. In the calculations, it was assumed that the phase transition occurs under the conditions of a superheated state, when the temperature of the liquid exceeds the saturation temperature, and the intensity of the water - vapor phase transformation is proportional to the superheating of the liquid. A characteristic analysis of the equations of a quasi-one-dimensional fluid flow with phase transformations is carried out and their hyperbolicity is demonstrated. Relations for characteristic directions and differential relations along these characteristics are written...