A Simple Two-Phase Frictional Multiplier Calculation Method Available to Purchase

In this paper, a simple method for calculating two-phase frictional multiplier for total flow assumed liquid in the pipe φ_lo² is presented. The homogeneous model is used to calculate the fluid properties (density and viscosity). The Churchill model is used to define the Fanning friction factor to take into account the effect of the mass flux on φ_lo². Effect of stream pressure on φ_lo² is also investigated. It is found that φ_lo² decreases with increasing the stream pressure at a given mass quality and reaches 1 at the critical pressure. On the other hand, it is found that φ_lo² increases with increasing the mass flux at a given mass quality. Comparison with other existing correlations for calculating φ_lo² such as the Wallis correlation based on the homogeneous model without mass effect on φ_lo², the Martinelli-Nelson correlation, the Chisholm correlation, and the Friedel correlation is presented. When the mass flux value becomes low, the effect of mass flux on φ_lo² becomes small and present correlation approaches the Wallis correlation. Both the present correlation and the Wallis correlation approach the maximum two-phase frictional multiplier in a smooth consistent manner while the other correlations show a peaking effect at high mass qualities. The Friedel correlation shows better agreement with the present correlation than both the Martinelli-Nelson correlation and the Chisholm correlation. Comparison with results from other experimental test facilities for calculating φ_lo² is also presented. Comparison with other experimental data shows better agreement with the present correlation than the Martinelli-Nelson correlation.