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The exact physical meaning of Ns is not obvious. One way to look at it is that it is a comparison between the non-dimensional flow rate, or flow coefficient (φ) and the non- dimensional pressure rise (φ). Non-dimensional flow coefficient is defined as φ = m& (3-3) ρΩD 2 And non-dimensional pressure rise is defined as φ = ρΩΔPD (3-4) 22 where Ω is the rotating speed, D the impeller tip diameter, ρ the density. Then Ns can be written as [Cumpsty] φ1 2 Ns = φ34 (3-5) It is well established in the industry that radial turbomachinery efficiency can be correlated to the specific speed [Rogers, 1980]. For each given specific speed, there is a particular specific diameter, which will give that (optimal) efficiency. Fig. 3.1 and Fig. 3.2 are correlations for radial compressors. Fig. 3.1 Efficiency vs. Ns for Radial Compressors, Derived from Fig. 3.8 in Balje [1980] 15 1 0.9 0.8 0.7 0.6 0.5 0.4 0 0.10.20.30.40.50.60.70.80.9 1 1.11.2 Ns EfficiencyPDF Image | Analysis of Radial Compressor Options for Supercritical CO2 Power
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