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The incidence loss is the loss associated with redirection of the flow when it makes contact with the inducer blades. The incidence loss should be a minimum at the design point. Negative or positive incidence upon the inducer will result in a greater loss. Incidence loss is defined as a fractional pressure loss and is given by ππΌππΆ=0.81βπ1/π1π πππ½1 2+π1π‘πΏπΈ/ππ·1π πππ½1 2 Eqn.3-25 Recirculation loss is caused by recirculation of the flow at the impeller outlet. It is caused by mixing of the wake at the impeller blade tip and is greater when there is backflow to the impeller. Recirculation loss is defined as a total work addition and can be calculated by πΌπ πΆ = π·ππ β 1 ππ2 β 2πππ‘π½2 Eqn. 3-26 2 ππ2 π·ππ = ππππ₯ /π2 Eqn. 3-27 where Deq is the equivalent diffusion factor. The equivalent diffusion factor takes into account the change in relative velocity from the impeller inlet to the outlet. The relative velocity ππππ₯ is a function of the inlet and outlet velocity triangles and Ξπ which was defined earlier in Eqn. 3- 23. ππππ₯ = π1 +π2 +Ξπ /2 Eqn.3-28 The mixing loss is caused by mixing of the flow at the impeller outlet and is modeled similar to an abrupt expansion loss. It depends on a wake velocity, πΆπ ,π€πππ , and a mixing velocity, πΆπ ,πππ₯ . The mixing loss is defined as a fractional pressure loss. π=πΆ βπΆ /π2 Eqn.3-29 ππΌπ π ,π€πππ π ,πππ₯ 1 The wake velocity is a function of the blades speed and a separation velocity, πππΈπ , which depends upon the recirculation of the flow. πΆ = π2 βπ2 Eqn.3-30 π,π€πππ ππΈπ π,1 63PDF Image | Supercritical Carbon Dioxide Cycle Analysis
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