Dynamics of Compressible Saturated Two-Phase Flow : Critical Flow

Abstract

In order to establish a bridgehead for attacking the complicated phenomenon of the two-phase critical flow, an exact analysis is initially attempted on an idealized model of constant-area adiabatic two-phase flow. On the process of analysis, it is pointed out that there is a dynamical critical-state which is determined in a self-consistent way from the fundamental equations of dynamics concerned with the flow. With this universal principle of critical state, the afore-mentioned model is analyzed exactly, and the variation of entropy at the critical state is also examined. Although the simplicity of the model adopted poses a problem, not only the analytical results thus obtained show a good correspondency with the experimental results, but also it has various distinctive characters which have not been seen in the existing theories. The study is then moved to the examination of the general structures of logic concerned with the dynamics and thermodynamics included in the analysis, and the results are presented in a clear form discussing important items such as the mutual independency between the regulations of dynamics and the second law of thermodynamics ; the relation between the model and actual flow ; and the state of actual critical flow. In conclusion, it may be noted that the basic dynamic concepts connected with the two-phase critical flow have been clarified.