Supercritical Carbon Dioxide Cycle Analysis

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Supercritical Carbon Dioxide Cycle Analysis ( supercritical-carbon-dioxide-cycle-analysis )

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Issue: Enhanced Tubes Cautions: The Ravigurarajan and Bergles correlations for pressure drop and Nusselt number in a tube with enhanced heat transfer surfaces are sufficiently complicated that results are difficult to predict a priori. The user is cautioned to have a maximum acceptable pressure drop in mind when designing a CO2 heat exchanger with enhanced tubes. Changes to the tube geometry should be geared toward achieving maximum heat exchanger effectiveness while remaining below the user’s pre-determined maximum pressure drop. Enhanced tubes are not a current option for steam generators in SoSaT. Issue: Pinch Points Cautions: SoSaT will simply stop running if a pinch point exists. The code identifies a pinch point by comparing the temperature at the inlet of a node to the outlet of the same node. If the temperature rise is less than 0.001 K, there is a pinch point. This restriction doesn’t necessarily catch all cases, but if the code can be seen to run in the superheated steam regime for some time, then the user will know that the parameters used in the design will not work. D.4 Correlations and Supporting Information The Ravigurarajan and Bergles Correlation for enhanced tubes is written as a correction to smooth tube Nusselt numbers and pressure drops. The Nusselt number for enhanced tubes is given by Nu   Bergles  7 1/7 0.024  0.21 sm   where e is the height of the ribs, p is the pitch of the ribs, α is the helix angle, and Nusm is the smooth tube Nusselt number given by the Gnielinski correlation. The pressure drop friction factor in enhanced tubes is given by 16 𝑝 𝛼 𝑝 1515 𝑓𝑎 = 1 + 29.1𝑅𝑒 0.67−0.06𝑝−0.49 𝛼 𝑒 1.37−0.157𝑑 𝑝 −1.66𝐸−6𝑅𝑒−0.3390 𝛼 4.59+4.11𝐸−6𝑅𝑒−0.15𝑑 1 + 2.94𝑠𝑖𝑛𝛽 16 𝑑 90 Eqn. D-2 0.212 Nu dd90  0.29 Pr Eqn. D-1    1 2.64Re 0.036  e   p           𝑓𝑠𝑚 𝑑𝑑90𝑛 152

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