1987 年 103 巻 1195 号 p. 563-569
The purpose of the present paper is to exhibit basic equations which are applied to slug flow in vertical pipes. The derivation of the equations was carried out as follows.
First the local and average void fractions in gas slug, liquid slug and overall system regions were defined clearly and the overall continuity equations of gas-phase and liquid-phase were represented. Secondly using eddy viscosity concept, the equation for the liquid-phase velocity profile in the liquid slug regions was obtained assuming that the void fraction profile in that region is known. Thirdly considering the flow of liquid film in the gas slug as one-dimensional flow, the differential equation of the liquid film holdup was derived. Furthermore, the coefficients of eddy viscosity due to wall generated turbulence and due to bubble induced turbulence, which are necessary to analysis of the liquid-phase velocity profile, were denoted as a function of radius respectively.
Analytical solutions and experimental results will be described in the next report.