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137 related to the Euler equation, where 𝑀𝐹𝑅 and enthalpy drop ∆𝑎𝑐𝑡 are the highest, as shown in equation(5-23). Figure 5-12cshows the result when 𝐹3 is selected as the objective function. In some applications in which the size of the component is limited, this objective function is very crucial because higher turbine power and compact size are combined. The optimum value of 𝐹3 is 310.7 kW/m; with turbine power and size are 13.36 kW and 0.043 m, respectively. The turbine size is substantially improved; its values are 0.05m and 0.072m for 𝐹1 and 𝐹2, respectively. Figure 5-13 presents the contribution of the rotor aerodynamic losses at the three objective functions. The losses model is explained in Section 5.7. For the three objective functions, the secondary losses are dominant. This phenomenon is due to the high turning at the blade exit that results in efficiency deterioration. Tip clearance is the second dominant loss, which is expected with organic fluids. Organic fluids have large densities and low operating mass flow rates, leading to smaller blade height at the rotor leading edge 𝑏4 and,therefore, large tip clearance. Figure 5-13: Contributions of the rotor enthalpy losses on the performance of the turbine. 9 8 7 6 5 4 3 2 1 0 F1 F2 F3 Tip Clearance Loss Secondary Loss Friction Loss Exit Loss Incidence Loss Enthslpy Loss [kJ/kg]PDF Image | Automotive Radial Turbine Expander Design WHR
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