Modeling the inhomogeneous two-phase flows with an admixture in inclined channels

The paper studies the flow of a two-phase medium in a gravity field channel. The thermodynamically consistent equations of the mathematical model of the dynamics of a two-velocity medium with an admixture were developed within the framework of the method of conservation laws. Its numerical implementation was carried out based on the control volume method. The nature of the motion of inhomogeneous flows in horizontal and inclined channels, the development of flow instability, as well as the effect of the surface tension gradient on flow regimes are investigated.