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102 Figure 6.6: The relationship between the utilization (U) and thermocline penetration depth. There is a related dimensionless group that can be defined, R, as the static thermal capacitance ratio of the solid and entrained fluid: R = mf ,totalCf [6.3.16] ms,totalCs R provides an indication of how significant the thermal capacitance of the fluid entrained in the system is relative to the thermal capacitance of the solid material. The value of R depends on the bed void fraction as well as fluid and solid heat capacity and density. In the test case, R=0.32. This value indicates the fluid capacitance is a significant component of the total system capacitance. This is an important observation, because it is common in the heat transfer community to neglect the thermal capacitance of the fluid when modeling gas-solid systems [Nellis and Klein, 2006]. The majority of packed-bed literature concerns gas-solid systems, including the models designed for TRNSYS [Klein et al, 2006], thus the results that are applied to packed-bed thermal storage systems must be carefully examined. Equations [6.3.2] and [6.3.3] consider the thermal capacitance of both the fluid and solid components of the bed. The implications of incorrectly neglecting thermal capacitance are discussed in section 6.3.4. The performance of a packed-bed thermal storage system is related to the heat transfer performance between the solid and fluid tank constituents. To describe the fluid-solid heat transfer performance NTUfluid is defined in a manner analogous to the NTU used inPDF Image | Organic Rankine Cycle Solar-Thermal Powerplants
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