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Appl. Sci. 2020, 10, 5069 4 of 20 Figure 1. Cycle schematic drawing. Figure 2. Entropy versus temperature (T-s diagram) for the thermodynamic cycle in Figure 1. To design the turbine, a mean-line turbine design approach is adopted to provide a fast and accurate estimation of the turbine geometry and the expected isentropic efficiency. This has been developed in MATLAB and coupled with NIST REFPROP [23] to account for the sCO2 fluid behaviour. The model is also capable of operating with Simulis, which enables novel fluid blends to be considered [24]. Within the model the steady-state mass, energy and momentum equations are solved to obtain the geometric parameters of the turbine. In this section, the turbine mean-line design is developed along with a parametric study to examine the effect of changing various design parameters on the turbine performance, at various rotational speeds, and assess blades pressure and centrifugal loads. The designs were evaluated for turbine inlet conditions of 923 K, 170 bar, expansion ratio of 3. For brevity, a full description of the model is not presented here, but can instead be found in Appendix A. Instead, a brief overview of the process is provided here. The process starts with the choice of the non-dimensional parameters, namely the flow coefficient (φ), and loading coefficient (ψ), which are defined as: φ = Ca/U, (1) ψ = 2∆hos , (2) U2PDF Image | Mean-Line Design of a Supercritical CO2 Micro Axial Turbine
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