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111 blade number is very low [241]. Jamieson [241] proposed a correlation to calculate the minimum number of blades, as shown in equation (β5-17). ππ =2πtanπΌ3 (β5-17) However, Glassman [238] mentioned that the proposed correlation byJamieson[241] will result in a large number of blades at higher flow angles. Therefore, a reduction factor in Jamiesonβs equation is used and equation (β5-16) is proposed by neglecting the difference in the flow angles between the stator exit and the rotor inlet. Whitfield and Baines [233] agreed with Glassman about Jamiesonβs correlation and stated that such large number of blades will result in an excessive blocking at the rotor exit. Therefore, an equation is proposed to calculate the number of blades at the minimum Mach number conditions, as shown in equation (β5-18). cos2 πΌ3 = 0.63 π (β5-18) 2ππ The geometric parameters at the rotor inlet are now fully defined. The thermodynamic properties at this region have to be obtained to complete the design of the rotor inlet. The static enthalpy can be calculated using the First Law of Thermodynamics, as shown in equation (β5-19). The hβs diagram in Figure β4-3 shows that the total and static entropies at the rotor inlet are identical. Total pressure π04 is calculated using equation (β5-20)which applicable with ideal gases[234]. Now, the thermodynamic properties in stagnation and static states can be obtained using EoS, as shown in equations (β5-21) and (β5-22), respectively. π =π +1πΆ2 4 π4 24 π =π βπ01βπππ 1βΙ³π‘π (β5-19) (β5-20) (β5-21) (β5-22) 04 01 4 π,π =πΈπππ,π,π,π ,πππ’ππ 04 04 04 04 04 05 π ,π =πΈππ π ,π,π ,π,πππ’ππ 44 4444PDF Image | Automotive Radial Turbine Expander Design WHR
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