Pressure Drop Calculation Using a One-Dimensional Mathematical Model for Two-Phase Flow Through an Orifice: Comparison with Experiments

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A model based on a homogeneous formulation of the governing differential equations (Navier-Stokes equations) describing the process of pressure drop in a simplified geometry of an expansion valve is investigated and simulated.  Numerical solutions are compared to experimental results. The model is a one dimensional formulation in space and the equations incorporates the change in tubes and orifice diameter as formulated in (S. Madsen, Dynamic Modeling of Phase Crossings in Two-Phase Flow, Communications in Computational Physics 12 (4), 1129-1147). The pressure changes in the flow are accounted for through both friction and acceleration as in a conventional formulation. However, in this analysis the acceleration term is both attributed geometrical effects through the area change and fluid dynamic effects through the expansion of the two-phase flow. The comparison of numerical and experimental data are based on pressure predictions and the deviations between experiments and simulations are found to be in the range of 0 to 10%.
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Two-Phase Flow; Homogeneous Formulation; Expansion Valve; Pressure Drop

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