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Mathematics 2020, 8, x FOR PEER REVIEW Mathematics 2020, 9, 50 Mathematics 2020, 8, x FOR PEER REVIEW 9 of 34 9 of 34 9 of 30 3.2. Rotor Model For the construction of the rotor, three geometrical aspects were constructed to gener- ate the full rotor blade. These aspects are meridional profiles, blade angle distribution and Figure 6. 3D model of turbine stator. thickness distribution. Figure 5. Distributions of vane angle and thickness of stator. Figure 5. Distributions of vane angle and thickness of stator. Figure 5. Distributions of vane angle and thickness of stator. Figure 6. 3D model of turbine stator. 3.2. Rotor ModFeilgure 6. 3D model of turbine stator. For the construction of the rotor, three geometrical aspects were constructed to generate the full The 2D rotor meridional profiles (end-wall contours) are defined by applying the rotor blade. These aspects are meridional profiles, blade angle distribution and thickness distribution. 3.2. Rotor Model methodology presented in Aungier [27]. In this study, a quarter ellipse is applied to define The 2D rotor meridional profiles (end-wall contours) are defined by applying the methodology the three meridional profiles, namely, hub, mid and shroud, as shown in Figure 7. As For the construction of the rotor, three geometrical aspects were constructed to generate the full presented in Aungier [27]. In this study, a quarter ellipse is applied to define the three meridional explained in the previous study [31], b , r , and z are the inlet blade height, inlet blade rotorblade.Theseaspectsaremeridionalprofiles,bladeangl4ed4istributionandthicknessdistribution. profiles, namely, hub, mid and shroud, as shown in Figure 7. As explained in the previous study [31], radius and axial length, respectively. The 2D rotor meridional profiles (end-wall contours) are defined by applying the methodology 𝑏4, 𝑟4, and 𝑧 are the inlet blade height, inlet blade radius and axial length, respectively. In the current study, the blade is not radially fibred. The blade distribution of blade presented in Aungier [27]. In this study, a quarter ellipse is applied to define the three meridional angles is determined by the numerical integration of Equations (15) and (16), where m is profiles, namely, hub, mid and shroud, as shown in Figure 7. As explained in the previous study [31], the meridional distance along the Z − R contour, Figure 7. The coefficients A to F are 𝑏4, 𝑟4, and 𝑧 are the inlet blade height, inlet blade radius and axial length, respectively. summarized in Table 3. Equation (15) is the blade camber-line along the shroud contour, whereas Equation (16) is the camber-line along the hub contour. The distribution of the blade angle is shown in Figure 8. θ(m) = Am + Bm2 + Cm4 (15) θ(m) = Dm + Em2 + Fm4 (16)PDF Image | Generation of 3D Turbine Blades for Automotive ORC
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