A Detailed Analysis of Radial Turbines

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The moisture loss, YQ, takes into account that the fluid might condensate during the expansion. In that case the part of the fluid which condensates will not contribute to the work. Finally the total relative pressure is given by. p′09 = p′09,ideal + Yp9 (3.89) 1+Y Where p′09,ideal is the ideal total relative pressure and can be determined using the exit total relative enthalpy and the entropy. Baines takes on a slightly different approach. He categorizes the losses into following groups. Incidence loss, passage loss, trailing edge loss, tip clearance loss, shock loss (due to supersonic expansion) and windage loss. Correlations for the different losses can be found in [12]. Finally the exit static enthalpy together with a mass balance and the equation of state yield all the flow variables. The mass balance at the impeller exit is performed according to. m ̇ = (1 − ∆)2πr9b9ρ9w9 sin α9′ (3.90) Where ∆ is the blockage arising from the boundary layer on the end walls. Similarly to the nozzle blades, the impeller must be checked to see if a choke is present or not. The choking mass flow is given by. m ̇∗ =NRbtho(1−∆)ρ∗w∗ (3.91) In the case of choking an isentropic expansion from the throat to the impeller exit yields all flow variables. A check must be done to make sure that the meridional exit velocity does not exceed the sonic speed. The Diffusor The performance analysis of the diffusor presented here is a simple analysis. More detailed analyses can be found in the literature regarding exhaust diffusor. The analysis described in this subsection is taken from Aungier, [2]. He describes it as a direct analysis which often can be more convenient in cases where the total-to-static pressure ratio is defined rather than the mass flow. The geometry which is needed to perform the analysis is presented in figure 3.12 and in table 3.5. 36

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