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CHAPTER 6: Three-Dimensional CFD Optimization of the Dual-Stage Organic RIT 6.3. Parameterization of rotor geometry and definition of objectives and constraints The geometry parametrization is an essential aspect of effective optimization procedure as it needs to generate a wide variety of realistic geometries within smallest set of design parameters together with a careful choice of the design variables and their ranges. The parametrization and 3-D CFD optimization were only conducted for rotors in both stages while the geometries of the nozzles were kept fixed. The meridional channel was described by means of 3rd-order Bezier curves both at hub and shroud while the blade angle and thickness distributions were specified by means of B-splines as illustrated in Figure 6-4 . The coordinates of the control points for both Bezier and B-spline curves were used by the optimization algorithm and their possible variation in the axial and radial directions are shown by arrows in the same figure. In order to prevent the transformation of the entire geometry in the meridional channel, the hub and shroud control points at rotor LE as well as TE at hub and shroud were fixed during all optimizations. The blade camber angle distribution both at hub and shroud was divided equally by five control points (only shroud curve is shown in Figure 6-4 for brevity while the hub curve is the same in terms of parametrization) with flexibility of variation only for the blade angle. The range of variation for each control point was defined so that the entire blade angle range from LE to TE was covered both at hub and shroud and for both stages. For the thickness distribution three control points was defined at hub curve and it was assumed that the thickness is uniform from the hub to shroud. Moreover, as the number of blades was a discrete parameter two additional values as 19 and 23 were specified apart from 21 (refer to Table 5-10) for both stages to allow the optimizer finding the optimum number of blades. 223 | P a g ePDF Image | SMALL-SCALE RADIAL INFLOW TURBINE FOR WHR ORC
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