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ACCEPTED MANUSCRIPT Fig. 4. Cross section of RIT stage (left), velocity triangles of RIT at the rotor inlet and outlet (right) (Al Jubori et al., 2016). 3.4 Input and output from the preliminary mean-line design (PD) The main target of the PD for each turbine’s configuration is to deliver the velocity triangles and flow angles based on the dimensionless parameters (i.e. flow coefficient φ, loading coefficient ψ and reaction Rn) to determine the initial blade shape, turbine size and performance. The losses correlation model for each configuration is used to calculate the new isentropic efficiency that it is compared to the initial estimated value. The PD mathematical model was developed and solved using the Engineering Equation Solver (EES); the PD methodology procedure is shown in Fig. 5. The flow chart in Fig. 5 indicated that the PD is a highly iterative procedure of turbine design and hence, comprehensive studies are required for different configurations, based on various input parameters. The EES code of the PD is capable of predicting the turbine’s geometry and performance for each configuration including; the input parameters, working fluids and operating conditions are as tabulated in Table 5. The PD methodology outputs are outlined in Table 6 for each turbine configuration. Table 5 The PD code input parameters for all turbines configurations and their ranges/values. Flow and dimension Parameter Flow coefficient () Loading coefficient () Reaction (Rn) Hub/tip radius ratio (rh/rt) Inlet to outlet radius ratio of the RIT nozzle (r2/r3) Outlet hub to inlet radius ratio of the RIT rotor (r5hub/r4) Unit - - - - - - - degree Values/Ranges 0.2-1.0 0.6-1.4 0.4-0.6 0.5-0.75 1.25-1.35 0.6-0.8 0.7 0.0 365 Corresponding saturated vapour pressure at inlet temperature 18000-45000 0-5 Blade speed ratio Rotor RIT exit absolute flow angle (α5) Inlet total temperature Inlet total pressure Rotational speed Degree of superheating Operating conditions K bar rpm K 13PDF Image | turbine configuration for low-power organic Rankine cycle
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