Investigation of nonstationary shock waves in gas-liquid mixtures of bubble structure

Consideration is given to the possibility of constructing an adequate model for the dynamic behavior of a two-phase mixture of a liquid with bubbles. A cell representation is used to obtain a precise condition (the generalized Rayleigh-Lamb equation) for the simultaneous deformation of the two phases. In a numerical study of a 50% solution of glycerin in water containing bubbles (of air or helium), attention is given to the basic characteristics of the propagation of nonstationary shock waves; the effects of initial pressure of the mixture and of the thermophysical properties of the bubble gas on the development of bubble structure are investigated. Computational results are compared with the experimental data of other authors.