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135 Flow Coefficient Loading Coefficient Speed MFR Specific Speed, Ns + - Total to Static Eff ηts Power Output Wout Overall Size dmax Mach Number M4 Figure 5-11: Summary of effects of the input conditions on the investigated parameters. 5.6.2.2 Design of Optimum Turbine The initial estimates of the input parameters presented Table 4-1 are used to begin the optimisation process. This model has three objective functions: 𝐹1: Total to static efficiency 𝜂𝑡𝑠 𝐹2: Turbine power output 𝑊𝑜𝑢𝑡 𝐹3: Power density𝑊𝑜𝑢𝑡 𝑑𝑚𝑎𝑥 The results of the three objective functions are briefly presented in Figure 5-12. Figure 5-12ashows the results when 𝐹1 is selected as the objective function. The optimum efficiency obtained is 74.4%, 71.8% and 70.1% when𝐹1, 𝐹2 and 𝐹3 are selected, respectively. The high value of 𝐹1 is due to the low enthalpy losses shown in Figure 5-13. The optimisation of 𝐹1 results in low absolute velocity at turbine exit 𝐶5 and, hence, low exit loss, as shown in equation (5-94). Moreover, the rotor speed 𝑈4 and relative speed 𝑊4 are the lowest, thereby resulting in lower tip clearance and incidence losses, as shown in equations (5-88) and(5-80), respectively.PDF Image | Automotive Radial Turbine Expander Design WHR
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