1.School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;
2.National Engineering Research Center of Turbogenerator Vibration, Southeast University, Nanjing 210096, China
The Brayton cycle based on supercritical carbon dioxide (S-CO2) is being applied widely in turbo machineries.In the paper, a three-dimensional numerical model of a labyrinth seal with S-CO2 as working fluid was established by using the computational fluid dynamics method.The dynamic coefficient was obtained by using the infinitesimal trajectory method.The dynamic and static characteristics of the labyrinth seal at different inlet pressure, inlet temperature and speed were studied.The results show that the direct complex dynamic stiffness has strong frequency dependence, while the cross-coupled complex dynamic stiffness and direct damping are of relatively small frequency dependence.The effective damping coefficient increases with the increase of inlet pressure and rotational speed, and with the decrease of inlet temperature.The effective damping coefficient, greater at low frequencies(less than 100 Hz), is more dependent on frequency.The effective damping at an inlet pressure of 8.1 MPa is about 147.2%—187.7% of that at 7.7 MPa, the effective damping at an inlet temperature of 398.15 K is about 68.8%—69.6% of that at 318.15 K, and the effective damping at a rotational speed of 20 000 r/min is about 178.8%—205.8% of that at 10 000 r/min.With the whirling frequency increasing(100—260 Hz), the effective damping coefficient, which is less dependent on frequency, decreases and tends to be constant.The leakage flowrate of the labyrinth seal increases with the increase of inlet pressure, and decreases with the increase of inlet temperature.The rotational speed has minimum effect on the leakage flowrate.
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