Analysis of a Radial Outflow Turbine for Organic Rankine Cycles

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Analysis of a Radial Outflow Turbine for Organic Rankine Cycles ( analysis-radial-outflow-turbine-organic-rankine-cycles )

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Energies 2020, 13, 2118 13 of 19 Table 6. Comparison of main results between preliminary design and CFD. Analysis method Μ‡ 𝑾𝑾 [kW] 𝜼𝜼 [%] 𝑷𝑷𝑷𝑷 [-] 𝑻𝑻𝑷𝑷 [-] 𝑴𝑴 [-] 𝑴𝑴 [-] 𝒕𝒕𝒕𝒕 𝒕𝒕𝒕𝒕 𝒕𝒕𝒕𝒕 𝟐𝟐 πŸ‘πŸ‘π’“π’“ Preliminary design CFD 399.86 400.0 85.0 1.47 1.05 0.58 0.81 85.13 1.45 1.05 0.58 0.79 Analysismethod π‘ͺπ‘ͺ [m/s] 𝑼𝑼 [m/s] 𝑾𝑾 [m/s] π‘ͺπ‘ͺ [m/s] 𝑼𝑼 [m/s] 𝑾𝑾 [m/s] πŸπŸπŸπŸπŸπŸπŸ‘πŸ‘πŸ‘πŸ‘πŸ‘πŸ‘ Preliminary design 98.2 105.5 38.3 35.6 132.3 137.0 CFD Analysis method Preliminary design CFD 𝜢𝜢 [Β°] 𝜷𝜷 [Β°] 𝜢𝜢 [Β°] 𝜷𝜷 [Β°] πŸπŸπŸπŸπŸ‘πŸ‘πŸ‘πŸ‘ 100.1 105.5 40.6 37.5 132.3 137.6 68.7 βˆ’21.5 0.0 βˆ’74.9 67.9 βˆ’19.2 1.9 βˆ’74.7 6. Off-Design Analysis of the Radial Outflow Turbine 6.1. Off-Design Analysis The performance of the designed radial outflow turbine was analyzed in off-design conditions. Table 7 shows the start, end, and step values in the variable change for the off-design analysis, and a total of 75 cases of off-design analysis results were obtained. The results of the off-design analysis were summarized as dimensionless variables because it is useful to express the performance of the turbine as dimensionless variables [2,32,33]. Table 7. Information on variable changes for off-design analysis. Start 𝑇𝑇 [K] Variables Step End 01 π‘šπ‘šΜ‡ [kg/s] 393.0 37.31 3.06 5760 10.0 433.0 5% Β· π‘šπ‘šΜ‡ 𝑑𝑑𝑒𝑒𝑑𝑑𝑒𝑒𝑔𝑔𝑑𝑑 45.60 𝑃𝑃 [MPa] 5%·𝑃𝑃 3.74 3,𝑑𝑑𝑒𝑒𝑑𝑑𝑒𝑒𝑔𝑔𝑑𝑑 3 6.2. Total-to-Static Efficiency (πœ‚πœ‚π‘‘π‘‘π‘‘π‘‘) versus Velocity Ratio (𝜈𝜈) 𝑅𝑅𝑃𝑃𝑀𝑀 10% Β· 𝑅𝑅𝑃𝑃𝑀𝑀𝑑𝑑𝑒𝑒𝑑𝑑𝑒𝑒𝑔𝑔𝑑𝑑 8640 Figure 11 shows the total-to-static efficiency (πœ‚πœ‚π‘‘π‘‘π‘‘π‘‘) of the turbine according to the velocity ratio (𝜈𝜈). The range of velocity ratios that can expect high efficiency over 85% is 0.57–0.70. The velocity ratio of 0.7 and πœ‚πœ‚π‘‘π‘‘π‘‘π‘‘ of 85% assumed in the preliminary design were an appropriate selection. Figure 11. Total-to-static efficiency according to the velocity ratio (𝜈𝜈).

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