Orifice plate modeling with two-phase multiplier including the effect of the area contraction ratio.

• Influence of the orifice plate area contraction ratio on the two-phase pressure drop. • Uses 27 databases of two-phase multipliers to develop the proposed model and 5 databases to test. • Introduce an attractor to improve the two-phase multiplier prediction and the accuracy of the fits. • The procedure for orifice plate is the same for nozzles, venturi tubes, flow control valves, and similies. • The proposed model prediction presents good agreement with experimental data. The flow of a gas-liquid across the orifice plate occurs a pressure drop. It employs a two-phase multiplier to estimate the average pressure drop. In the present times, the two-phase multiplier does not account for the orifice size, becoming incomplete models. The introduction of the area contraction ratio is the novelty of this paper. The proposed model employs a two-phase multiplier depending on the quality, densities ratio, area contraction ratio, and two constants extracted from experimental databases. The proposed model has a low bias, applicable for densities ratio, (ρ L /ρ G), of 3.05 to 800 and an area contraction ratio of 0.072 to 1.000. Demonstration experimental of the dependence of the area contraction ratio. The two graphics below have the same coordinates: two-phase multiplier versus quality. The graphics use air-water databases with (rL/rG) of 773. Figure (a) shows each line corresponds to an area contraction ratio, σ. The use of log scale is necessary, otherwise the symbols will be squeeze near 0.0001 to 0.01. The x axis span of 0.0001 to 0.2 and 1 to 100 and y axis span of 1 to 100. Figure (b) shows for area contraction ratio of: 1.00, 0.75, 0.50 and 0.25 using Eq. (24). The x axis span of 0 to 1 and y axis varies from 1 to 800. The area contraction ratio spans of 0 < s £ 1. For constant x, then the higher is the fL2 so does the area contraction ratio. [Display omitted] [ABSTRACT FROM AUTHOR]