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Supercritical Carbon Dioxide Cycle Analysis

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

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the superheated vapor regime, the calculations will stop once the total desired power is transferred. For supercritical water, modeling the heat transfer is much easier since the water does not undergo a distinct phase change. In the case of supercritical pressures, the water side heat transfer coefficient is determined by the correlation of Cho, Chou, and Cox [Herron, 2002]. π‘π‘’π‘ βˆ’π»2𝑂 = 0.00459 𝐺𝑑 0.923 π‘•π‘€π‘Žπ‘™π‘™ βˆ’ π‘•π‘π‘’π‘™π‘˜ πœ‡π‘€π‘Žπ‘™π‘™ 0.613 πœŒπ‘€π‘Žπ‘™π‘™ 0.231 Eqn. 4-41 πœ‡π‘π‘’π‘™π‘˜ π‘‡π‘€π‘Žπ‘™ π‘™βˆ’π‘‡π‘π‘’π‘™π‘˜ π‘˜ πœŒπ‘π‘’π‘™π‘˜ For supercritical pressures, the Cho, Chou, and Cox correlation will be acceptable, assuming that pressure drops never cause the fluid to fall below the saturation dome. The critical pressure for water is 22.09 MPa. The conditions tested at each node determine which boiling regime the water has entered, and therefore which correlations to use for the heat transfer coefficient and pressure drop. Table 4.5 summarizes the criteria for each boiling regime based on bulk temperature, wall temperature and equilibrium quality, x. Table 4.5: Conditions for each boiling regime in SoSaT Heat Transfer Regime Subcooled Liquid Subcooled Boiling Saturated Nucleate Boiling Post CHF heat transfer Vapor Heat Transfer Correlation Dittus-Boelter Kandlikar Kandlikar Bishop Gnielinski References [Todreas and Kazimi, 1993] [Kandlikar, 1990] [Kandlikar, 1990] [Groeneveld, 1975] [Rohsenow et al., 1998] Conditions* TbulkTsat+Ξ”T x>0.0,x<1.0, q’’,q’’crit x<1.0, q’’>q’’crit x>1.0 * Ξ”T is represented by the second term in Eqn. 4-35 To aid in the operation of SoSaT, the code outputs the difference between the bulk temperature and saturation temperature, along with the boiling regime to the screen every 10 cm in the upward flow calculation. That way, the user can see if the prescribed geometry has resulted in a pinch-point or if an excessively high flow rate has resulted in poor steam conditions without ever opening the output file. 99

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