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12 Proc IMechE Part A: J Power and Energy 0(0) Figure 14. For all of the stages, the region near the hub and shroud (5% span and 95% span) presents higher entropy compared to the region at 50% span. At the throat region, the entropy at 50% span of stator in stage 1 is obviously higher than that in other stages, which explains why the velocity coeffi- cient ’ of stator in stage 1 is the lowest among the stages. The velocity coefficient of the stator ’ is defined as Figure 15 depicts the streamlines on the surface of stators of the four stages. A vortex, which lead to higher flow loss, can be found at the throat region of the stator exist in all of the stages, except for stage 2. It explains why the velocity coefficient ’ of stator in stage 2 is the highest among the stages. For manufacturing easily, the present profiles of the sta- tors for the four stages are constituted by arcs (front part of the stators) and straight lines (trail part of the stators). They increase the adverse pressure gradient at outlet of stage 1, stage 3 and stage 4 stators and thereby generate vortices, which are shown in ’ 1⁄4 c1 c0 c1 1⁄4 pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ð24Þ 2ðh0 h1,sÞ Figure 16. Internal flow and loss near suction surface of blade in the shrouded rotor: (a) stage 1; (b) stage 2; (c) stage 3; (d) stage 4.PDF Image | radial turbine supercritical compressed air energy storage
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