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M Abidat, M K Hamidou, M Hachemi And M Hamel Figures 14 and 15 show the computed results in terms of volute loss coefficient ςV and mass flow averaged volute exit flow angle αm defined as follows: V ς =1- Vex (17) Vex,is and V α=asin θ (18) V The loss coefficient decreases almost linearly with respect to the reduced mass flow rate. The values of ςV are in concordance with values given by Benson et al [16]. 0.12 0.11 0.10 0.09 0.08 0.07 0.06 72.4 72.2 72.0 71.8 71.6 71.4 71.2 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 Loss Coefficient Averaged Volute Exit Flow Angle (deg.) 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 Reduced Mass Flow Rate Reduced Mass Flow Rate Figure 14: Volute total pressure loss coefficient Figure 15: Volute exit averaged flow angle The mass flow averaged volute exit flow angle αm varies slightly with the reduced mass flow rate between 72.4 and 71.3 degrees. These values are slightly lower than the flow angle (αex, fv = 74.4 deg) computed from equation 19 which assumes a free vortex in the volute channel and in the vanneless nozzle upstream of the rotor as well as uniform exit flow conditions. cotan(αex,fv)= 1 A0 ρ0 (19) 2πbex r0 ρex This difference is probably due to the assumption of a free vortex in the volute which is not really true due to the presence of the tongue. 5 - CONCLUSION A numerical study has been carried out on radial and mixed flow turbine volutes. In a first step, a one dimensional method based on the free vortex assumption is developped and used to design the volute of a mixed flow turbine. In a second step, a numerical simulation using aPDF Image | ANALYSIS OF RADIAL AND MIXED FLOW TURBINE VOLUTES
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