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The predicted leakage is based on the “Martin” model for non-choked flow through multiple labyrinth seals and is calculated from the following formula: m C S p p 1 d o 1 1Nlnp2 p1 So is the flow area and Cd is the discharge coefficient which is assumed to be 0.61 and N is the number of teeth (four) in the seal. The leakage is on the order of 0.2 lb/s per seal. The designed flow rate is 7.7 lb/s so the leakage is on the order of 3% per seal in this test. Mass Flow, Density, dP-flow CBC_081201_1420.csv 1.2 Compressor only with pump-out vanes and labyrinth seals 1 0.8 0.6 0.4 0.2 45000 40000 35000 30000 25000 20000 15000 10000 5000 p2 2 1 MassFlow/10 Density/100 LeakageFlow1 P400/1000 Pdrain/1000 Leakage Martin RPM1 00 13700 13800 13900 14000 14100 14200 14300 14400 Time(s) Figure 5-20: Measured (brown) and predicted (red) leakage flow rate through the four tooth labyrinth seal. 5.5.2 Gas-Foil Bearings As previously described the early turbomachinery for the compression loop used ball bearings. However, because of the limited bearing life, the design also included the option to operate with gas-foil bearings. A 69 Leakage Flow (lb/s), & Compressor Flow (lb/s)/10, Inlet and Rotor Cavity Pres (kpsia) Density (lb/ft^3)/1000 rpmPDF Image | Operation and Analysis of a Supercritical CO2 Brayton Cycle
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