compressibility Effect in Two-Phase stratified-wavy Flow Numerical Modeling by single pressure Two-Fluid Model

In this paper, a numerical study was conducted to study the effect of the liquid phase compressibility variability in the two-fluid single-pressure model. The two-fluid model is solved by a class of conservative shock-capturing method.The two-fluid model is solved once with the assumption that the density of the liquid phase and one is assumed, assuming that the liquid phase density is varied. In order to examine the compressibility effect, the liquid phase density of the three sample problems was used with different pressure conditions. The results show that, under atmospheric conditions, variations in the density of the liquid phase can be neglected and have no effect on the accuracy of the results of the two-fluid single-pressure model. In the case of extreme pressure gradients, the variability of the liquid phase density in a two-fluid single-pressure model causes deviation of numerical results. Therefore, in the case of extreme pressure gradients, two-fluid single-pressure model is a more accurate model assuming that the liquid phase density is constant.