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44 Components design side. As an example, the total power in the hot side of the vapor recompression system is the summation of the power of its components, Q ̇ TOT = Q ̇ RG,HIGH + Q ̇ RG,LOW + Q ̇ CO, (3-41) where Q ̇ RG,HIGH is the high temperature regenerator load, Q ̇ RG,LOW is the low temperature regenerator load, and Q ̇ CO is the cooler load. Equation (3-40) can be used for both cold and hot sides and consequently the regenerators will have a different pressure drop for each side. One of these results should be chosen as the target to be matched by equation (3-37). Further results in the components design show that the pressure drop in the hot side of the regenerator is larger and this is the value taken as an input for this calculation procedure. The dimensioning of the regenerator consists therefore in varying the number of channels (by varying the dimensions of the PCHE core) until the pressure drop in equation (3-37) matches the pressure drop calculated in equation (3-40). 3-1-6 Correlations validation This section presents the validation of the correlations for the heat transfer coefficient and pressure drop. The calculation procedure explained earlier is applied in the real PCHE studied by Song [4]. The geometrical characteristics of the channels are reported in Tables 3-1 and 3-2. The performance rating of this heat exchanger is shown in Table 3-3. Table 3-3: Performance rating of the PCHE studied by Song (given by Heatric) [4] Flow rate (gas) Flow rate (liquid) Temperature Pressure inlet/design Pressure drop calc./allowed Design heat load Overall HTC, clean LMTD (∆TLMTD ) Corrected TD (∆TTD ) Cold Side In Out kg/h 353.0 353.0 kg/h 0.0 0.0 ◦C 84.0 178.0 barg 201.0/216.2 bar 0.07/0.25 kW 17.5 W/m2 K 754.0 ◦C 1.8 ◦C 4.2 Hot Side In Out 543.0 543.0 0.0 0.0 181.0 85.0 74.0/82.5 0.24/0.25 The results of the calculation procedure are presented in Figure 3-6. The overall heat transfer coefficient is shown in Figure 3-6a. All the correlations predict values lower than the one of the manufacturer rating (754 W/m2K). The correlation of Gnielinski is the one that predicts the lowest overall heat transfer coefficient because it is meant for straight channels. The other correlations consider the effect of the wavy geometry and predict closer values to the reference one, with the correlations of Hesselgraves presenting the best results. The Hesselgraves heat transfer coefficient decreases when the streams approach the hot side of the heat exchanger. This is due to the trend of the Nusselt number, presented in Figure 3-6b. The hot stream has a larger Nusselt number and a negative slope leading to the same trend for U. The Nusselt number is proportional to the Reynolds number, shown in Figure 3-6c. The latter decreases in the hot stream and increases in the cold stream when J.S. Bahamonde Noriega Master of Science ThesisPDF Image | Design method for s-CO2 gas turbine power plants
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