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3.1.1. Correlations for radial turbines The equations derived previously can be applied on all turbomachines. For radial tur- bines additional correlations have been proven useful to derive a starting point for a new design. The Flow Coefficient is defined as the ratio of meridional velocity and blade speed. c m ̇cpT01 ND Flow coefficient : φ = Um = f D2p , √γRT (3.6) 01 01 The Stage loading is defined as. Stageloading:ψ= 0 =f ,√ (3.7) ∆h m ̇cpT01 ND U2 D2p01 γRT01 The derivation of equations (3.6) and (3.7) can be found in e.g. [7]. The stage loading and flow coefficient have been used to correlate efficiency for radial turbines. N. Baines presents one such diagram in [3]. From that diagram it can be noted that an increase of the flow coefficient from 0.3 to 0.4 gives a decrease in efficiency by almost a 1 th. 10 To achieve a low flow coefficient either the speed or the area (thereby decreasing the meridional velocity) needs to increase. Figure 3.2.: N. Baines presents a chart which correlates the flow and stage loading coefficients with efficiency lines as parameters. Figure taken from [3]. 17PDF Image | A Detailed Analysis of Radial Turbines
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