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A Detailed Analysis of Radial Turbines

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A Detailed Analysis of Radial Turbines ( a-detailed-analysis-radial-turbines )

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The exit blockage is according to Aungier, given by. ∆10 = {K1+K2(D−1)}LA9 A10 b9 (√pvr + 1)2 D= 4 pvr = p09 − p9 (3.97) (3.98) (3.99) p09 − p10,ideal In equation (3.97), pvr is the ideal velocity-pressure ratio and D is the diffusion factor. The Vaneless Space The radial turbine consists of one or two vaneless spaces. One after the volute and possibly one after the nozzle blades. The performance analysis presented here is rather simple. The vaneless space is divided into two sections yielding three stations. The geometry which is needed is presented in table 3.6. Table 3.6.: The geometry needed for the performance analysis. Inlet Mid Exit Radius r1 r2 r3 Axial Coordinate z1 z2 z3 Passage width b1 b2 b3 A simple integration of the coordinates yields the meridional coordinates. 􏰎􏰪22 m= dz +dr The passage areas for the different stations are calculated according to. A = 2πrb (3.100) (3.101) The inlet flow conditions are taken from the performance analysis of the upstream com- ponent. The angular momentum is assumed to be conserved and the tangential velocity of the downstream station is given by. θ upstream,θ Aungier defines an entrance loss according to. r 􏰙2 p01 − p1 p −p 03 3 Yin = A −1 sinα1 38 c = c rupstream (3.102) (3.103) 􏰘􏰡 A1 􏰢 upstream

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