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119 π. =π΄ππΆ ππππ 2 2 π2 (β5-51) The construction of the full stator vane, including the distribution of the vane thickness, is performed using the methodology described by Aungier[234] and detailed in Appendix A. Once the stator vane is fully defined, the flow angle at the stator leading edge πΌ2 can be obtained using equation(β5-52)[234]. πβ is the empirical correlation developed by Emery et al.[245]for axial compressor cascades, as shown in equation(β5-53). πΌ2 = π½2 β πβπ πππ(π½3 β π½2) πβ = 3.6 10π‘2 + π½3 β π½2 πΏ β π½3 β π½2 πΏ 3.4 π π£ 2 (β5-52) (β5-53) πΏ, π½2 πππ π½3 are the flow path length, stator bale angle at the inlet and stator bale angle at the exit,respectively, and they can be obtained numerically from the constructed vanes. To this end, the stator vane is now fully defined thermodynamically and geometrically. 5.3.5 Volute Modelling Volute or the turbine inlet casing is used to distribute the fluid flow around the turbine periphery to provide a uniform mass distribution and uniform static pressure at the volute exit. The flow in the volute is highly complex and 3D, thereby implying the need for3D flow analysis[179], [231]. However, in the preliminary design process, a simple method presented in [199], [233], which considers the working fluid incompressible, is adopted. This process aims to estimate the volute passage area π΄1 and mean radiusπ1. In such methods, the flow is assumed to be uniform with constant angular momentum (free vortex). During the design stage, an elliptical cross-section area is assumed due to the mathematical simplicity of ellipse calculations. Aungier [234] recommended a relationship between the ellipse semi-axes and the aspect ratio (π΄π ), as shown in equation (β5-54). Therefore, the limit of π΄π isPDF Image | Automotive Radial Turbine Expander Design WHR
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