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8Οqβ²β²ONB Tsat 0.5 Twall =Tsat + hfgkfΟg 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 π =π ππ€πππ βππ ππ‘ +π Eqn.4-36 π π’π ππ ππ€πππ βππ ππ 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]. πππ =πΆ1πΆππΆ2(25πΉπππ)πΆ5 +πΆ3π΅ππΆ4πΉππ Eqn.4-37 πππ 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 ππ’ = 0.033π ππ€0.80πππ€1.25 π₯ + ππ 1 β π₯ 0.738 ππ 0.197 Eqn. 4-38 ππ ππ 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 π2 π π π β 1 0 0 0 π π π ππ’ = π Eqn. 4-39 1 + 12.7 πππ0.66 β 1.0 2 π = 0.00128 + 0.1143π ππβ0.311 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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