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118 between the two cascades. The iterative process is then repeated until convergence occurs atπ3. The radial chord length of the vane ππ is then calculated using equation(β5-43). ππ =ππ£cosπΌ3 (β5-43) Considering that the vane throat width π3 is now known, cosine rule can be used to account for the change in angular momentum between vane throat and exit, as shown in equation (β5-44). With the application of the conservation of momentum between stator throat and stator exit, static density can be calculated using equation (β5-45). cosπΌπ‘π =π3ππ (β5-44) (β5-45) ππ‘π=π3 π‘πππΌ π π‘π π‘π π‘πππΌ π 33 2ππ 3 Given that π2 is calculated from the two cascades, the stator setting angle at the inlet πΎ2 is obtained using equation (β5-46). To calculate the velocity triangle at the stator inlet, an iterative process is essential to calculate the absolute velocity πΆ2 until convergence occurs at π. . The volute loss is calculated using equation (β5-47)[231]. Consequently, the isentropic static enthalpy π2π is calculated to obtain the rest of the thermodynamic properties at the stator inlet using equation (β5-48). The static pressure π2 and the rest of the thermodynamic properties are then obtained using EOS, as shown in equations(β5-49)and(β5-50), respectively. The new mass flow rate is then calculated using equation(β5-51). (β5-46) (β5-47) (β5-48) (β5-49) (β5-50) πππ πΎ2 = 3 3 π πππ πΎ βπ =1π πΆ2 π£ππ 2 π£ππ 2 π2π = π2 β βππ£ππ π ,π =πΈπππ,πππ’ππ 2π 1 2 π,π =πΈπππ,π,π,π ,πππ’ππ 22 2222 π 2PDF Image | Automotive Radial Turbine Expander Design WHR
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