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SMALL-SCALE RADIAL INFLOW TURBINE FOR WHR ORC

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SMALL-SCALE RADIAL INFLOW TURBINE FOR WHR ORC ( small-scale-radial-inflow-turbine-for-whr-orc )

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FIGURE 6-2 COMPARISON OF VARIOUS DOE TECHNIQUES: (LEFT) MONTE CARLO, (MIDDLE) LATIN HYPERCUBE, (RIGHT) OPTIMAL SPACE FILLING (MONTGOMERY 2006) .............................................. 221 FIGURE 6-3 EXAMPLE OF THE DOE SAMPLE POINTS (LEFT), META-MODEL FITTED THE SAMPLES (RIGHT) (MONTGOMERY 2006)......................................................................................................................... 222 FIGURE 6-4 PARAMETRIZATION OF THE MERIDIONAL CHANNEL (TOP), BLADE CAMBER ANGLE DISTRIBUTION (MIDDLE), BLADE THICKNESS (BOTTOM) ..................................................................... 224 FIGURE 6-5 BASELINE GEOMETRY OF THE NOZZLE AND ROTOR FOR STAGE ONE ............................... 226 FIGURE 6-6 BASELINE GEOMETRY OF THE NOZZLE AND ROTOR FOR STAGE TWO .............................. 227 FIGURE 6-7 CFD SETUP FOR THE BASELINE ROTOR GEOMETRIES, (LEFT) STAGE ONE, (RIGHT) STAGE TWO ............................................................................................................................................................. 229 FIGURE 6-8 SCREEN SHOT OF THE ANSYS GUI FOR THE COMPLETED STAGE ONE OPTIMIZATION.... 230 FIGURE 6-9 NORMALIZED OBSERVED EFFICIENCY FROM THE SAMPLE POINTS VS THE PREDICTED EFFICIENCY BY THE KRIGING META-MODEL FOR STAGE ONE (TOP) AND STAGE TWO (BOTTOM) ...... 231 FIGURE 6-10 PREDICTED TURBINE EFFICIENCY WITH KRIGING META-MODEL BASED ON TWO DESIGN VARIABLES, (TOP) STAGE ONE, (BOTTOM) STAGE TWO ....................................................................... 232 FIGURE 6-11 GA OPTIMIZATION CONVERGENCE HISTORY FOR STAGE ONE AND TWO ....................... 233 FIGURE 6-12 COMPARISON OF STAGE ONE OPTIMIZED AND BASELINE GEOMETRIES (A) MERIDIONAL CHANNEL (B) BLADE ANGLE DISTRIBUTION (C) BLADE THICKNESS DISTRIBUTION............................. 234 FIGURE 6-13 COMPARISON OF STAGE TWO OPTIMIZED AND BASELINE GEOMETRIES (A) MERIDIONAL CHANNEL (B) BLADE ANGLE DISTRIBUTION (C) BLADE THICKNESS DISTRIBUTION............................. 235 FIGURE 6-14 VELOCITY VECTORS AT HALF SPAN FOR STAGE ONE BASELINE (TOP) AND OPTIMIZED (BOTTOM) ............................................................................................................................................ 237 FIGURE 6-15 VELOCITY VECTORS AT HALF SPAN FOR STAGE TWO BASELINE (TOP) AND OPTIMIZED (BOTTOM) ............................................................................................................................................ 238 FIGURE 6-16 ENTROPY DISTRIBUTION AT HALF SPAN FOR STAGE ONE BASELINE (TOP) AND OPTIMIZED (BOTTOM) ............................................................................................................................................ 239 FIGURE 6-17 ENTROPY DISTRIBUTION AT HALF SPAN FOR STAGE TWO BASELINE (TOP) AND OPTIMIZED (BOTTOM) ............................................................................................................................................ 240 FIGURE 6-18 ENTROPY DISTRIBUTION AT MERIDIONAL CHANNEL FOR STAGE ONE BASELINE (LEFT) AND OPTIMIZED (RIGHT).............................................................................................................................. 242 FIGURE 6-19 ENTROPY DISTRIBUTION AT MERIDIONAL CHANNEL FOR STAGE TWO BASELINE (LEFT) AND OPTIMIZED (RIGHT).............................................................................................................................. 242 FIGURE 6-20 MACH NUMBER DISTRIBUTION AT MERIDIONAL CHANNEL FOR STAGE ONE BASELINE (LEFT) AND OPTIMIZED (RIGHT)........................................................................................................... 243 XIV

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