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Off-Design Analysis of a Radial Outflow Turbine for ORC

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Off-Design Analysis of a Radial Outflow Turbine for ORC ( off-design-analysis-radial-outflow-turbine-orc )

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Energies 2020, 13, 2118 12 of 18 Analysis Method Preliminary design CFD Analysis method Preliminary design CFD Analysis method 6.1. Off-Design Analysis . W [kW] 400.0 399.86 C2 [m/s] 98.2 100.1 α2 [◦] 68.7 ηts [%] 85.0 85.13 U2 [m/s] 105.5 105.5 β2 [◦] −21.5 PRts [−] 1.47 1.45 W2 [m/s] 38.3 40.6 α3 [◦] 0.0 1.9 TRts [−] 1.05 1.05 C3 [m/s] 35.6 37.5 β3 [◦] −74.9 −74.7 M2 [−] 0.58 0.58 U3 [m/s] 132.3 132.3 M3r [−] 0.81 0.79 W3 [m/s] 137.0 137.6 Figure 10. Comparison of velocity triangles between preliminary design and CFD. Table 6. Comparison of main results between preliminary design and CFD. Preliminary design CFD −19.2 6. Off-Design Analysis of the Radial Outflow Turbine 67.9 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. Table 7. Information on variable changes for off-design analysis. Variables T01 [K] m. [kg/s] P3 [MPa] RPM useful to express the performance of the turbine as dimensionless variables [2,32,33]. 6.2. Total-to-Static Efficiency (ηts) versus Velocity Ratio (ν) Figure 11 shows the total-to-static efficiency (ηts) of the turbine according to the velocity ratio (ν). The range of velocity ratios that can expect high efficiency over 85% is 0.57–0.70. The velocity ratio of 0.7 and ηts of 85% assumed in the preliminary design were an appropriate selection. Start 393.0 37.31 3.06 5760 Step End 10%·RPMdesign 8640 The results of the off-design analysis were summarized as dimensionless variables because it is 10.0 433.0 5%·m. 45.60 design 5%·P3,design 3.74

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