Abstract

Two-phase critical flow modelling methodologies are briefly reviewed. When a local knowledge of the flow behaviour is required and the influence of the geometry on the outlet conditions is to be modelled, a two-phase variable slip model is necessary. This model requires numerical integration through a singular saddle point. A simple dispersed flow model is presented and integrated numerically. Predictions of this model are compared with data taken on an air-water flow loop capable of producing high gas quality (5–100%) flows of annular dispersed character. It is shown that critical flow solutions of this model have a topological structure qualitatively similar to that of compressible gas flow. However, quantitative deviations are shown, in particular a higher upstream/downstream pressure ratio is necessary to choke the flow. Furthermore, critical flow is experimentally shown to depend on the entrained liquid fraction at the inlet.

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