A theory of hydroshock in a two-phase gas-liquid mixture

Abstract

A hydroshock in a two-phase gas-liquid mixture is usually calculated by an analog of the Zhukovskii formula for a mixture (see, for example, [1, 2]) which establishes the relation of the hydro-shock intensity to the velocity of sound in the mixture. However, as the experimental data [1] show, the hydroshock intensity in the mixture can significantly exceed the calculated values, a fact which is explained by the increase in the propagation velocity of the perturbation wave in comparison to the velocity of sound in the mixture [3, 4]. In the present paper, an equilibrium model of shock transition, similar to [5, 6], is used to calculate the attenuation of the hydroshock as the gas content of the mixture increases in a bubble flow regime. It is shown that owing to the high compressibility of the mixture the effect of the elasticity of the pipe-line walls is small, and the dependence of the propagation velocity of the perturbation wave on the intensity and gas content becomes the main effect. A simple dependence of the hydroshock intensity on the gas content and two similarity parameters is obtained.