The airflow excited rotordynamic characteristics of labyrinth seal with swirl brakes at two different inlet preswirl ratios were numerically investigated by solving the unsteady Reynolds-average Navier-Stokes equation based on the multi-frequency elliptical orbit rotor whirling mode and dynamic mesh technique. The average circumferential velocity
leakage flow rate and rotordynamic coefficients of labyrinth seal with inlet swirl brake(Design 2)or double swirl brakes(Design 3)
or without swirl brake(Design 1)
were analyzed at two different inlet preswirl ratios of 0.13 or 1.32. The numerically predicted leakage flow rate and rotordynamic coefficient of experimental labyrinth seal without swirl brake(Design 1)agreed very well with the experimental data
so the accuracy of the used numerical method was validated. The obtained results show that the direct stiffness and the effective damping ofDesign 1 decrease' and the direct damping and cross-coupling stiffness increase' at higher inlet preswirls. The cross-coupling stiffness ofDesign 2 decreases by 63.3%-86.3% compared withDesign 1 at the inlet preswirl ratio of 1.32. The cross-coupling stiffness ofDesign 3 decreases by 12.9%-39.4% compared withDesign 2 at the inlet preswirl ratio of 1.32. The cross-coupling stiffness ofDesign 2 is less than zero at the inlet preswirl ratio of 0.13. The magnitude of negative cross-coupling stiffness ofDesign 3 increases by 24.4%-153.0% compared toDesign 2 at the inlet preswirl ratio of 0.13.Design 2 reduces the crossover frequency of effective damping from 175.1 Hz to 28.3 Hz compared withDesign 1 when the inlet preswirl ratio is 1.32.Design 2 adds 31.5%-60.0% to the effective damping after 20 Hz compared withDesign 1 when the inlet preswirl ratio is 0.13.Design 3 eliminates the crossover frequency of effective damping compared withDesign 2 when the inlet preswirl ratio is 1.32.Design 3 adds 26.9%-38.0% to the effective damping after 20 Hz compared withDesign 1 when the inlet preswirl ratio is 0.13. Adding double swirl brakes inDesign 3 would slightly reduce the direct stiffness and cross-coupling stiffness and increase the direct damping compared withDesign 2 at different inlet preswirl ratio. This research can provide a reference for the swirl brake design to improve rotordynamic characteristics of labyrinth seals.
关键词
Keywords
references
ZHANG Xuan, JIANG Jinbo, PENG Xudong, et al. Leakage and rotordynamic characteristics of labyrinth seal and hole-pattern damping seal with special-shaped 3D cavity [J]. Industrial Lubrication and Tribology, 2021, 73(2): 396-403.
LI Zhigang, LI Jun, FENG Zhenping. Numerical comparison of rotordynamic characteristics for a fully partitioned pocket damper seal and a labyrinth seal with high positive and negative inlet preswirl [J]. Journal of Engineering for Gas Turbines and Power, 2016, 138(4): 042505.
LI Jun, YAN Xin, FENG Zhenping, et al. State-of-the art of turbomachinery damper seals technology and their rotordynamic characteristics [J]. Thermal Turbine, 2009, 38(1): 5-9, 14.
NIELSEN K K, CHILDS D W, MYLLERUP C M. Experimental and theoretical comparison of two swirl brake designs [J]. Journal of Turbomachinery, 2001, 123(2): 353-358.
VANCE J, MURPHY B, ZEIDAN F. Machinery vibration and rotordynamics [M]. Hoboken, New Jersey: Wiley, 2010: 271-272.
LI Zhigang, LI Jun, FENG Zhenping. Labyrinth seal rotordynamic characteristics: part ii geometrical parameter effects [J]. Journal of Propulsion and Power, 2016, 32(5): 1281-1291.
LI Zhigang, LI Jun, FENG Zhenping. Labyrinth seal rotordynamic characteristics: part i operational conditions effects [J]. Journal of Propulsion and Power, 2016, 32(5): 1199-1211.
CHILDS D W, VANCE J M. Annular seals as tools to control rotordynamic response of future gas turbine engines [C]∥30th Joint Propulsion Conference and Exhibit. Reston, VA, USA: AIAA, 1994: 1-9.
KIM N, PARK S Y, RHODE D L. Predicted effects of shunt injection on the rotordynamics of gas labyrinth seals [J]. Journal of Engineering for Gas Turbines and Power, 2003, 125(1): 167-174.
BENCKERT H, WACHTER J. Flow induced spring coefficients of labyrinth seals for application in rotor dynamics [EB/OL].(1980-01-01)[2021-06-10]. https: ∥ntrs.nasa.gov/citations/19800021216.
CHILDS D W, MCLEAN J E Jr, ZHANG Min, et al. Rotordynamic performance of a negative-swirl brake for a tooth-on-stator labyrinth seal [J]. Journal of Engineering for Gas Turbines and Power, 2016, 138(6): 062505.
XU Wanjun, YANG Jiangang. A study on rotordynamic characteristics of swirl brakes for three types of seals [J]. Materials Science and Engineering, 2017, 187(1): 012022.
CHEN Yaoxing, LI Zhigang, LI Jun, et al. Effects of swirl brake axial arrangement on the leakage performance and rotor stability of labyrinth seals [J]. Chinese Journal of Aeronautics, 2021, 34(1): 22-31.
JI Dawei, LI Jun, NING Xiao. Investigations on the effect of inlet swirl brake structure on the rotor dynamic coefficients of labyrinth seal [J]. Thermal Turbine, 2017, 46(3): 164-168, 189.
SOGHE R D, MICIO M, ANDREINI A, et al. Numerical characterization of swirl brakes for high pressure centrifugal compressors [C]∥ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. New York, USA: ASME, 2013: V06CT40A001.
IWATSUBO T, IWASAKI Y. Experimental and theoretical study on swirl braked labyrrinth seal [J]. Journal of System Design and Dynamics, 2008, 2(1): 451-462.
SUN Dan, WANG Shuang, XIAO Zhonghui, et al. Measurement versus predictions of rotordynamic coefficients of seal with swirl brakes [J]. Mechanism and Machine Theory, 2015, 94: 188-199.
SUN Dan, WANG Shuang, FEI Chengwei, et al. Numerical and experimental investigation on the effect of swirl brakes on the labyrinth seals [J]. Journal of Engineering for Gas Turbines and Power, 2016, 138(3): 032507.
UNTAROIU A, JIN Hanxiang, FU Gen, et al. The effects of fluid preswirl and swirl brakes design on the performance of labyrinth seals [J]. Journal of Engineering for Gas Turbines and Power, 2018, 140(8): 082503.