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Dynamic Modelling and Validation of an Air-to-Water Reversible R744

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Dynamic Modelling and Validation of an Air-to-Water Reversible R744 ( dynamic-modelling-and-validation-an-air-to-water-reversible- )

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Energies 2021, 14, 8238 13 of 25 The model required as inputs the opening ratio of the expansion valve, expressed as the ratio between the actual cross flow area Aop and the maximum opening area Aop,MAX, previously provided to the model as a constant parameter. 3.5. Two-Phase Ejector Numerical Model The ejector performance was estimated on the basis of the data supplied by the manufacturer and an extrapolation map, relying on experimental data. The nominal working point, expressed in terms of the entrainment ratio φnom and pressure lift ∆pli f t nom given by the manufacturer as a function of the motive nozzle and the suction nozzle, stated: φnom =φ(pMN, TMN,pSN,TSN) (24) ∆plift nom = ∆plift(pMN, TMN,pSN,TSN) (25) where the pressure lift was defined as: ∆plift = pDIFF − pSN (26) An example of the nominal performance working points of the ejector is reported in Figure 7, for a motive nozzle pressure of 90 bar. Figure 7. Example of the nominal operating point of the two phase ejector for pMN = 90 bar, TMN = 30..36 ◦C, pMN equal to 30 and 40 bar. In order to extend the numerical model to non-nominal conditions, the polynomial mode proposed by Banasiak et al., 2015 [30] was used as a reference. In this paper, a complete polynomial model of an ejector geometry named VEJ1 was developed based on an extensive experimental database. Rearranging the formulation proposed, the entrainment ratio was obtained as a function of the motive and suction thermodynamic condition and of the pressure lift: 􏱌􏱍 φVEJ1 =φEj1 pMN, TMN,pSN,TSN,∆plift (27)

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