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128 Figure β5-6 presents the effect of flow coefficient π on the performance of the turbine (power and efficiency), its maximum size, and Mach number at rotor inlet at different pressure ratios. Figure β5-6a and Figure β5-6c show that the flow coefficient π has a significant impact on the turbine total to static efficiency ππ‘π and overall turbine sizeπ1. The increase in flow coefficient π is detrimental to the turbine total to static efficiency ππ‘π and beneficial to the turbine compact size. The definition of the flow coefficient in equation(β4-6)implies that the increase of this parameter leads to higher meridional velocity at the rotor exit πΆπ5 and, therefore, higher exit loss, as shown in equation(β5-94) (next section). Figure β5-6bdepicts the effects of flow coefficient π on the turbine power output πππ’π‘ , which decreases slightly as π increases. This phenomenon can be justified by the definition of π and Euler equation in equation(β5-23). As π increases, the rotor blade speed π4 decreases, thereby resulting in low power output. The effect of π on the Mach number is insignificant because the two parameters have no direct relationship, as shown in Figure β5-6d. Figure β5-6also depicts the effect of turbine total to static pressure ratio ππ π‘π while increasing π. The variation of ππ π‘π has remarkable effects on the investigated parameters. As ππ π‘π increases, the enthalpy drop through the turbine stage increases, leading to high turbine power output πππ’π‘ . The increase in enthalpy drop leads to larger rotor diameter and, hence, larger turbine size π1. The increase in the pressure ratio likewise leads to high Mach number π4 , where the flow becomes supersonic at ππ π‘π β₯ 5.PDF Image | Automotive Radial Turbine Expander Design WHR
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