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Figure 6.23 shows a comparison between the analytical Schumann solution (which considers fluid capacitance) and the numerical solution for the test conditions which fully neglects fluid capacitance (R=0.32). The no-capacitance model diverges significantly from the Schumann solution. More importantly, it predicts a more poorly defined thermocline which is associated with reduced storage system performance. Diverging from the Schumann solution over a single charge cycle is not sufficient to condemn the no-capacitance assumption for long-term simulation since the errors in the model may cancel over an extended operation time. To investigate this possibility, the previously described 20-cycle second law efficiency simulation was performed with the no-capacitance model. Figure 6.24 shows the results of this simulation, analogous to Figure 6.18 but also showing the error incurred from using the infinite-NTU model. The no-capacitance model underestimates system efficiency, as predicted by observing the more poorly defined thermocline. This result is also consistent with the results obtained by Nellis and Klein for magnetic refrigeration regenerators [2006]. The TRNSYS TYPE 10 Rock Bed model employs the no-capacitance assumption and is subject to the errors incurred when attempting to simulate high R-value systems. Figure 6.24: Second law storage system efficiency as a function of fluid NTU for the models that include and neglect the capacitance of the fluid. 123PDF Image | Organic Rankine Cycle Solar-Thermal Powerplants
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