A Semi-Empirical Correlation for Counter-Current Flow Limitation in a Vertical Pipe
Counter-current two-phase flows may take place in the steam generator of a pressurized water reactor (PWR) during a reflux-cooling mode. Therefore developing reliable correlations of counter-current flow limitation (CCFL) is of great importance in safety analyses. Wallis derived a CCFL correlation, which is expressed in terms of the so-called Wallis parameters, which are the dimensionless gas and liquid volumetric fluxes. Although effects of the fluid properties are not sufficiently accounted for in this correlation, he introduced the inverse liquid viscosity number into it to account for the viscous effect on CCFL . The functional form of the factor for the viscous effect was however empirically determined without physical grounds. Zapke and Kroeger proposed an empirical CCFL correlation by introducing the Ohnesorge number into the original Wallis correlation to account for the effects of the liquid viscosity and surface tension on CCFL. The effects of the fluid properties have been thus added in the original Wallis correlation in an empirical manner. In this study, a semi-empirical correlation for CCFL in a vertical pipe is derived from one-dimensional equations for a steady counter-current annular two-phase flow in a vertical pipe. (authors)