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modeled in some type of finite node code such as FLUENT. In the heat exchanger design calculations the plate thickness, t, (Figure 9.2) was used as the characteristic length for heat conduction, i.e. assumption of conduction through a wall. This is a conservative assumption, since the area over which the heat transfer from the fluid to the metal occurs is smaller than the area through which the heat is conducted to another plate. Figure 9.5 shows the results of heat conduction modeling in FLUENT. In this modelling two plates with semicircular channels were put together and the heat conduction across this node was calculated. In order to minimize the deviation from the uniform heat conduction between the plates caused by the heat conduction out of the modeled node it was necessary to use multiple plate nodes so that the total power conducted through the plates was much higher than that conducted out from the last plate. The x axis shows how many plates were used in the model. If at least 24 plates were used the results did not change much anymore since the effect of heat losses into the surroundings became negligible [Gezelius, 2003]. This analysis clearly demonstrates that the effective conduction length is about 60% of the geometrical thickness, t. 1 0.75 0.5 0.25 0 0 8 16 24 32 40 48 56 64 Number of Plates dc = dc = dc = dc = 1 mm,hh/ 1 mm,hh/ 1 mm,hh/ 2 mm,hh/ hc = 1 hc =0.1 hc = 10 hc = 1 Figure 9.5 Effective conduction length 210 Ratio of Effective and Geometrical ThicknessPDF Image | Supercritical Carbon Dioxide Cycle for Next Generation Nuclear Reactors
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