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Table 4.1: Representative Values used in Eqn. 4-1 Pipe inside diameter d1 Pipe outside diameter d2 Insulation outside diameter d3 Mass flow rate 𝑚 Conductivity of the pipe kpipe Conductivity of Insulation kins Temp. of Sodium T Conductivity of Sodium kNa Heat Capacity of Sodium Cp Density of Sodium ρ Viscocity of Sodium μ Heat transfer coeff. of air hair 0.587 m 0.610 m Variable 1256 kg/s 21.0 W/mK 0.04 W/mK 510 oC 63.71 W/Mk 1262.47 J/kgK 832.29 kg/m3 2.324 E-4 Pas 40 W/m2K [Mills, 1995] coefficient for the ambient air is conservatively chosen to be high. The value of the heat transfer The results show that the insulation provides the most significant thermal resistance, and that even relatively high heat transfer coefficients on the air side do not result in significant heat losses in the intermediate piping. The sodium Nusselt number was calculated using a correlation by Notter and Sleicher [Todreas and Kazimi, 1993] 𝑁𝑢 = 4.8 + 0.0156𝑅𝑒0.85𝑃𝑟0.93 Eqn. 4-2 Based on an assumed intermediate pipe length of 24 m from point 2 to 3, the coolant temperature difference between points 2 and 3 can be plotted as a function of insulation thickness, as shown in Figure 4.2 for a 250 MW loop. Even for very thin insulation, the temperature difference is very small. Figure 4.3 shows the heat lost to the environment by this example loop, also as a function of insulation thickness. Both the hot and cold legs of the intermediate loop will experience similar losses because the fluid properties of sodium do not change much with temperature. The cold leg will lose about 33 % less heat than the hot leg because the temperature difference between the cold leg and ambient air is about 155 oC less than that of the hot leg. 85PDF Image | Supercritical Carbon Dioxide Cycle Analysis
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