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8σq′′ONB Tsat 0.5 Twall =Tsat + hfgkfρg Eqn.4-35 which was developed by Davis and Anderson [1966]. Once the wall temperature reaches this value, the flow enters the subcooled boiling regime. The heat transfer coefficient of the subcooled boiling region is given by = 𝑇𝑤𝑎𝑙𝑙 −𝑇𝑠𝑎𝑡 + Eqn.4-36 𝑠𝑢𝑏 𝑇𝑃 𝑇𝑤𝑎𝑙𝑙 −𝑇𝑓 𝑙𝑜 where hlo indicates the liquid only heat transfer coefficient given by the Dittus-Boelter correlation and hTP is the two-phase nucleate boiling heat transfer coefficient given by Kandlikar [1990]. 𝑇𝑃 =𝐶1𝐶𝑜𝐶2(25𝐹𝑟𝑙𝑜)𝐶5 +𝐶3𝐵𝑜𝐶4𝐹𝑓𝑙 Eqn.4-37 𝑙𝑜 Once the bulk temperature has reached saturation, the Kandlikar correlation predicts the rise in quality for each node according to the heat of vaporization. This regime is saturated nucleate boiling. Critical heat flux is still tested for in each node and once it is surpassed, the code switches to the Bishop correlation for post-dryout heat transfer [Groeneveld, 1975]. The heat transfer coefficient after dryout is given by 𝑁𝑢 = 0.033𝑅𝑒𝑤0.80𝑃𝑟𝑤1.25 𝑥 + 𝜌𝑔 1 − 𝑥 0.738 𝜌𝑔 0.197 Eqn. 4-38 𝜌𝑙 𝜌𝑙 which is valid up to quality of 1.0 and pressures up to 21.5 MPa. Once the equilibrium quality reaches 1.0, the Gnielinski correlation for vapor heat transfer coefficient is used. It gives the Nusselt number as 𝑓2 𝑅 𝑒 𝑔 − 1 0 0 0 𝑃 𝑟 𝑔 𝑁𝑢 = 𝑓 Eqn. 4-39 1 + 12.7 𝑃𝑟𝑔0.66 − 1.0 2 𝑓 = 0.00128 + 0.1143𝑅𝑒𝑔−0.311 Eqn. 4-40 The calculation concludes once the prescribed power has been transferred to the fluid. The test for heat transferred is the condition for continuation of the loop, so even if the flow never enters 98PDF Image | Supercritical Carbon Dioxide Cycle Analysis
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