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Figure 3.9: A simplified schematic of an impeller showing the definition of backsweep angle, Ο2. Backsweep angle in RGRC is measured with respect to the radial direction. With the ability to calculate the impeller outlet velocity triangle, the code first assumes an outlet diameter based on a ratio of inlet tip to outlet diameter, which is an input from the user. Within the code, this ratio is called LAMX. This ratio is typically between 0.3 and 0.5 for a centrifugal compressor impeller. πΏπ΄ππ = π·1π Eqn. 3-7 π·2 If this ratio is too high, the impeller will begin to resemble an axial machine, but the flow through it will not benefit from the blade shape. Therefore, there will be a decrease in fluid density through the impeller. In other words, if the diameter ratio is initially too high, then the machine will not compress the fluid at all. In this case, the code will alert the user to choose a lower starting value for the diameter ratio. With the first value of the impeller outlet diameter chosen, the code begins by assuming a density value slightly higher than the impeller inlet density. Using this value, the slip correlation, and the conservation of mass requirement, the code will calculate the velocity triangle at outlet. The key relationships are determined as described in Figure 3.8. The mass flow rate relation is defined by π1 =π2π΄2 Eqn.3-8 π2 π1 π΄1 π΄2 = ππ·2π2 β π2π2π‘ππΈ πππ π2 Eqn. 3-9 58PDF Image | Supercritical Carbon Dioxide Cycle Analysis
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