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transition line, and the last one to a line outside the inversion zone, but within the Γ = 1 contour. The efficiency tends initially to increase with Γ1, reaching an optimum. This roughly corresponds to the lower mean Γ value at the blade wall. In such conditions, average Γ is less than 1 at the wall, and the sound speed increases with dropping pressure. This limits the growth of the Mach number during the flow expansion and reduces shock strength. For higher values of Γ1, expansion shock waves appear for the two lower entropy values, and efficiency decreases. This does not happens for the higher entropy value, the flow evolving entirely outside the inversion zone. On the other hand, for such conditions, the average Fundamental Derivative at the wall is below 1, which contributes to weaken or even remove shock waves. Γ quickly drops outside the inversion zone during the flow expansion, and it is necessary to start from higher inlet Γ values in order to have Γ in the right range close to the shock region. Figure 14c present pressure contours for PP10 corresponding to maximum cascade efficiency. Mach number, pressure, and Γ distributions at the wall for the three working fluids are depicted respectively in Figure 16, Figure 17 and Figure 18. Figure 14: Isobares for a perfect gas (a), steam (b), and PP10 (c).V KI LS-59 cascade. 66PDF Image | ANALYSIS AND OPTIMIZATION OF DENSE GAS FLOWS: APPLICATION TO ORGANIC RANKINE CYCLES TURBINES
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