On a Stochastic Approach to the Pulsating Phenomena in the Two-Phase Flow

Abstract

The pulsating mechanisms in the two-phase flow composed of alternative gas and liquid blocks were investigated by a stochastic process specified by certain statistical characters. The stochastic approach will be preferred to the deterministic approach in some respects, as the interference between many blocks of gases in a turbulent flow of liquids seems so complicated. In this way, the pulsation, expressed by the measurement of the fluctuations of the dynamic pressure using a pitot-tube, is considered to show a stationary stochastic process. It was found the fluctuations of the amplitude of the dynamic pressure had a normal distribution and the periods of that fluctuation (which were assumed to be the periods of the bubble appearance) and a Rayleigh distribution. These results show a good coincidence with the theoretical consideration from a stochastic point of view. Further it is shown that the two-phase flow will be classified into three groups, referring to the results of those correlations.