Analysis of the Critical Conditions and the Effect of Slip in Two-Phase Ejectors

Document Type : Special Issue Manuscripts


Natural Resources Canada



In this study, it is proposed to lift the no-slip constraint imposed in the Homogenous equilibrium Model (HEM) for two-phase ejector design and analyse its effects on performance. Two models accounting for slip are used: the first, currently available in the literature is due to Moody and the second, developed by the authors is proposed as an alternative. Firstly, in order to avoid the direct computation of the velocity of sound in two-phase flow close to critical conditions, it is proposed to maximise the mass flow rate in the nozzle without recourse to the Mach number, since the computation of this latter in two-phase conditions has not yet gained consensus. Secondly, the introduction of a slip factor accounting for the velocity difference between vapour and liquid phases has allowed achieving remarkable improvements of critical flow computations, especially when using the newly developed approach by the authors. Thirdly a test facility for two-phase ejectors using R134a as refrigerant has been built for further studies. First results have allowed to validate the models predictions of the critical flow over a large interval of operating conditions. Lastly, analysis indicates that neglecting interphase slip may have a significant impact on two-phase ejector design. In this way and under some ejector inlet conditions, the prediction gap between HEM and the new model falls in the range of 13 to 23% in terms of compression ratio and in the range of 33 to 39% for the nozzle throat diameter.