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Appl. Sci. 2020, 10, 4168 10 of 26 ηts [-] φ [-] Ẇ [MW] (a) νs [-] (b) νs [-] Figure 2. Preliminary design space: (a) Flow coefficient vs velocity ratio, (b) Power vs velocity ratio. From the few selected designs, some are discarded because they either exhibit high circumferential rotor blade tip speed, or did not meet performance metrics, or the exit absolute flow angle was far from zero, or they had narrow passages which would incur high blockage. One particular design that meets the defined criteria, and which is characterised by a smooth rotor turning from the radial to the axial direction is presented in Figure 3, with the meridional dimensions given in Figure 4. Additional geometric parameters of the radial turbine are found in Table 6; the blade metal angle (θ) is defined as the angle between the tangential reference plane and the blade camberline extension at leading edge for inlet, and trailing edge for outlet. In the case of no volute, the flow at vane inlet is assumed almost purely radial with straight radial blades at rotor inlet as well (θin ≈ 90◦). The shaft rotational speed is 21,409 rpm and the rotor tip clearance is 0.782 mm. Figure 3. 3D model of selected turbine: (a) Front view, (b) Perspective view. Table 6. Geometric parameters of turbine stator (S) and rotor (R) blades. (a) (b) Stator Rotor Unit Value - 16 mm 176.0 mm 47.81 mm 3.520 mm 3.520 mm 28.35 ◦ 90 ◦ 36.37 Variable Unit Value Data Blade count (NS) Chord (cS) Pitch (qS) Inlet thickness (t2) Outlet thickness (t3) Throat (oS) Inlet angle (θ2) Outlet angle (θ ) - 19 mm 99.90 mm 70.24 mm 9.150 mm 1.830 mm 16.82 ◦ 112.42 NR cR qRm t4 t5 oR θ4 ◦ 13.86 3 5m θPDF Image | Radial Turbine Design for a Utility-Scale Supercritical CO2 Power
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