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142 π. πΆ1 = 1 (β5-68) π1π΄1 π1. is assumed and must be verified at the end of the process, as shown in Figure β5-14. Similar to the design point, the volute loss model is applied to obtain the thermodynamic properties at the volute exit. Velocities are obtained iteratively using the continuity equation. Special attention is paid in the investigation of the flow environment at the stator outlet because ORC turbines usually have high pressure ratios and, hence, supersonic flows at the stator trailing edge. The detailed procedure is shown in Figure β5-14. When the blade row is choked, sonic speed is assumed in the throat opening. Similar to the stator inlet, stator outlet is resolved iteratively until convergence at the mass flow rate is achieved. Baines[257] proposed a correlation to calculate the absolute flow angle at the stator exit πΌ3 , as shown in equation (β5-69). π0, π1and π2 are 6 , 0.96 and β4 , respectively. πΌ3=π0+π1πππ β1 π3 +πΏπ πππ π3 >0.3 (β5-69) π π π£ πΌ3=π0+π1πππ β1 3 +π2ππ3β0.3+πΏπ ππππ3β€0.3 π π£ The loss model at the stator outlet is appliedto resolve the thermodynamic properties at the stator outlet. Once the stator loss is calculated, the isentropic enthalpy is consequently calculated. Several stator loss models [235], [258]β[260] can be found in the open literature. However, all these available loss models are likely to be either assessed wholly empirically or approximated through flat plate and pipe flow fiction relations [233]. The stator loss model proposed by Balje[246] is applied because the loss model in this study are expressed in terms of enthalpy drop, as shown in equation (β5-70)below. πππ¦π πΆ2+πΆ3 2 π π‘ππ‘ππ π πππ¦π 2 (β5-70) βπ = 4πΆPDF Image | Automotive Radial Turbine Expander Design WHR
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