Technical Papers
Apr 29, 2019

Effect of Radial Growth on Rotordynamic Characteristics of Labyrinth Seal-Rotor System

Publication: Journal of Aerospace Engineering
Volume 32, Issue 4

Abstract

Modern turbomachinery is progressing with regard to its compact geometry structure, superior thermodynamic efficiency, and high power density. The rotating speed, operating temperature, and pressure ratio of the turbine are significantly increased with this development. As a result, the centrifugal load and thermal load should be treated more seriously with these latest developments. To this end, the leakage model and fluid force model of the labyrinth seal and the dynamic model of the rotor system are established to take into account the centrifugal growth and the thermal growth. The effective seal clearance, axial flow velocity, and working fluid-exciting force are updated in each calculation step with the varying rotational speed or operating temperature. Using a three-dimensional (3D) contour map, spectrum cascade, and bifurcation diagram, the influences of the radial growth on the leakage performance and the dynamic characteristics of the rotor system are analyzed at steady state. The results show that the leakage flow rate and discharge coefficient are greatly reduced by the radial growth, which implies an improved sealing effect. The dynamic responses of the rotor system remain nearly unchanged when accounting for centrifugal growth only. Excluding the impact of the thermal growth, the system stability is slightly enhanced with the operating temperature. However, the system stability appears to be much more sensitive to temperature when thermal growth is included in the dynamic model.

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Acknowledgments

This work has been supported by the National Natural Science Foundation of China (Grant No. 11672083).

References

Andres, L. S., and Z. Ashton. 2010. “Comparison of leakage performance in three types of gas annular seals operating at a high temperature (300°C).” Tribol. Trans. 53 (3): 463–471. https://doi.org/10.1080/10402000903420803.
Cao, L. H., J. X. Wang, P. Li, P. F. Hu, and Y. Li. 2017. “Numerical analysis on steam exciting force caused by rotor eccentricity.” Shock Vib. 2017: 1–9. https://doi.org/10.1155/2017/8602965.
Cheng, M., G. Meng, and J. P. Jing. 2007. “Numerical and experimental study of a rotor-bearing-seal system.” Mech. Mach. Theory 42 (8): 1043–1057. https://doi.org/10.1016/j.mechmachtheory.2006.04.010.
Childs, D. 1993. Turbomachinery rotordynamics phenomena, modeling, and analysis. New York: Wiley.
Childs, D. W. 1983. “Dynamic analysis of turbulent annular seals based on Hirs’ lubrication equation.” J. Lubr. Technol. 105 (3): 429–436. https://doi.org/10.1115/1.3254633.
Childs, D. W., and J. K. Scharrer. 1986. “An Iwatsubo-based solution for labyrinth seals: Comparison to experimental results.” J. Eng. Gas Turbines Power 108 (2): 325–331. https://doi.org/10.1115/1.3239907.
Dietzen, F. J., and R. Nordmann. 1987. “Calculating Rotordynamic coefficients of seals by finite-difference techniques.” J. Tribol. 109 (3): 388–394. https://doi.org/10.1115/1.3261453.
Diewald, W., and R. Nordmann. 1989. “Dynamic analysis of centrifugal pump rotors with fluid-mechanical interactions.” J. Vib. Acoust. 111 (4): 370–378. https://doi.org/10.1115/1.3269871.
Dursun, E., and J. Y. Kazakia. 1995. “Air flow in cavities of labyrinth seals.” Int. J. Eng. Sci. 33 (15): 2309–2326. https://doi.org/10.1016/0020-7225(95)00072-6.
El-Shafei, A., S. H. Tawfick, M. S. Raafat, and G. M. Aziz. 2007. “Some experiments on oil whirl and oil whip.” J. Eng. Gas Turbines Power 129 (1): 144–153. https://doi.org/10.1115/1.2181185.
Friswell, M. I., J. E. T. Penny, S. D. Garvey, and A. W. Lees. 2010. Dynamics of rotating machines. New York: Cambridge University Press.
Gamal, A. M., B. H. Ertas, and J. M. Vance. 2007. “High-pressure pocket damper seals: Leakage rates and cavity pressures.” J. Turbomach. 129 (4): 826–834. https://doi.org/10.1115/1.2720871.
Gao, R., and G. Kirk. 2013. “CFD study on stepped and drum balance labyrinth seal.” Tribol. Trans. 56 (4): 663–671. https://doi.org/10.1080/10402004.2013.776159.
Gurevich, M. I. 1966. The theory of jets in an ideal fluid. Oxford: Pergamon Press.
Hendricks R., L. T. Tam, and A. Muszynska. 2004. Turbomachine sealing and secondary flows. Part 2—Review of rotordynamics issues in inherently unsteady flow systems with small clearances.. Cleveland: NASA Glenn Research Center.
Hu, A. J., L. L. Hou, and L. Xiang. 2016. “Dynamic simulation and experimental study of an asymmetric double-disk rotor-bearing system with rub-impact and oil-film instability.” Nonlinear Dyn. 84 (2): 641–659. https://doi.org/10.1007/s11071-015-2513-3.
Hua, J., S. Swaddiwudhipong, Z. S. Liu, and Q. Y. Xu. 2005. “Numerical analysis of nonlinear rotor-seal system.” J. Sound. Vib. 283 (3–5): 525–542. https://doi.org/10.1016/j.jsv.2004.04.028.
Iwatsubo, T. 1980. “Evaluation of instability forces of labyrinth seals in turbines or compressors.” In Proc., Rotordynamic Instability Problems in High Performanee Turbomaehiney, NASA CP-2133, 139–167. College Station, TX: Texas A&M Univ.
James, E. A. J. 1984. Gas dynamics. Upper Saddle River, NJ: Prentice-Hall.
Kim, T. S., and K. S. Cha. 2009. “Comparative analysis of the influence of labyrinth seal configuration on leakage behavior.” J. Mech. Sci. Technol. 23 (10): 2830–2838. https://doi.org/10.1007/s12206-009-0733-5.
Kirk, G., and R. Gao. 2012. “Influence of preswirl on rotordynamic characteristics of labyrinth seals.” Tribol. Trans. 55 (3): 357–364. https://doi.org/10.1080/10402004.2012.656880.
Kurohashi, M., Y. Inoue, T. Abe, and T. Fujikawa. 1980. “Spring and damping coefficients of the labyrinth seals.” In Pro., IMechE-Second Int. Conf. on Vibrations in Rotating Machinery, 215–222. London: IMechE.
Laukiavich, C. A., M. J. Braun, and A. J. Chandy. 2015. “An investigation into the thermal effects on a hydrodynamic bearing’s clearance.” Tribol. Trans. 58 (6): 980–1001. https://doi.org/10.1080/10402004.2015.1023408.
Li, Z. G., and Y. S. Chen. 2012. “Research on 12 subharmonic resonance and bifurcation of nonlinear rotor-seal system.” Appl. Math. Mech. 33 (4): 499–510. https://doi.org/10.1007/s10483-012-1566-7.
Li, Z. G., J. Li, and Z. P. Feng. 2016a. “Labyrinth seal rotordynamic characteristics part I: Operational conditions effects.” J. Propul. Power 32 (5): 1199–1211. https://doi.org/10.2514/1.B35816.
Li, Z. G., J. Li, and Z. P. Feng. 2016b. “Labyrinth seal rotordynamic characteristics part II: Geometrical parameter effects.” J. Propul. Power 32 (5): 1281–1291. https://doi.org/10.2514/1.B35817.
Li, Z. G., J. Li, Z. P. Feng, J. D. Yang, R. Yang, and L. Q. Shi. 2012a. “Numerical investigations on the leakage flow characteristics of pocket damper seals.” In Proc., ASME 2011 Turbo Expo: Turbine Technical Conf. and Exposition, 701–712. New York: ASME.
Li, Z. G., J. Li, and X. Yan. 2013. “Multiple frequencies elliptical whirling orbit model and transient RANS solution approach to rotordynamic coefficients of annual gas seals prediction.” J. Vib. Acoust. 135 (3): 031005. https://doi.org/10.1115/1.4023143.
Li, Z. G., J. Li, X. Yan, and Z. P. Feng. 2012b. “Numerical investigations on the leakage flow characteristics of pocket damper labyrinth seals.” Proc. Inst. Mech. Eng. A: J. Power Energy 226 (7): 932–948. https://doi.org/10.1177/0957650912451410.
Mehta, N. J., and D. W. Childs. 2014. “Measured comparison of leakage and rotordynamic characteristics for a slanted-tooth and a straight-tooth labyrinth seal.” J. Eng. Gas Turbines Power 136 (1): 012501. https://doi.org/10.1115/1.4025267.
Melcher, K. M., and J. A. Kypuros. 2003. “Toward a fast-response active turbine tip clearance control.” In Proc., 16th Int. Symp. on Air Breathing Engines. Cleveland: ISABE.
Muszynska, A. 1986a. “Modal testing of rotor/bearing systems.” Int. J. Anal. Exp. Modal Anal. 1 (3): 15–34.
Muszynska, A. 1986b. “Whirl and whip-rotor/bearing stability problems.” J. Sound. Vib. 110 (3): 443–462. https://doi.org/10.1016/S0022-460X(86)80146-8.
Muszynska, A. 2005. Rotordynamics: Fluid-related problems in rotor/stator clearances. Boca Raton, FL: CRC Press.
Muszynska, A., and D. E. Bently. 1985. “Measurement of rotor system dynamic stiffness by perturbation testing.” In Instability in Rotating Machinery, National Aeronautics and Space Administration Conf. Publication, 47–58. Washington, DC: National Aeronautics and Space Administration.
Muszynska, A., and D. E. Bently. 1990. “Frequency swept rotating input perturbation techniques and identification of the fluid force models in rotor/bearing/seal systems and fluid handling machines.” J. Sound Vib. 143 (1): 103–124. https://doi.org/10.1016/0022-460X(90)90571-G.
Neumann, K. 1964. “Zur Frage der Verwendung von Durchblickdichtungen im Dampfturbinenbau.” Maschinentechnik 13 (4): 188–195.
Nordmann, R., F. J. Dietzen, and H. P. Weiser. 1989. “Calculation of rotordynamic coefficients and leakage for annular gas seals by means of finite difference techniques.” J. Tribol. 111 (3): 545–552. https://doi.org/10.1115/1.3261964.
San Andrés, L., T. C. Wu, H. Maeda, and O. Tomoki. 2018. “A computational fluid dynamics modified bulk flow analysis for circumferentially shallow grooved liquid seals.” J. Eng. Gas Turbines Power 140 (1): 012504. https://doi.org/10.1115/1.4037614.
Scharrer, J. K. 1987. “A comparison of experimental and theoretical results for labyrinth seals.” Ph.D. thesis, Dept. of Mechanical Engineering, Texas A&M Univ.
Scharrer, J. K. 1988. “Theory versus experiment for the rotordynamic coefficients of labyrinth gas seals. Part I: A two control volume model.” J. Vib. Acoust. Stress. Reliab. Des. 110 (3): 270–280. https://doi.org/10.1115/1.3269513.
Shen, X. Y., and M. Zhao. 2009. “Effect of the seal force on nonlinear dynamics and stability of the rotor-bearing-seal system.” J. Vib. Control 15 (2): 197–217. https://doi.org/10.1177/1077546307084440.
Shin, Y. S., and D. W. Childs. 2008. “The impact of real gas properties on predictions of static and rotordynamic properties of the annular gas seals for injection compressors.” J. Eng. Gas Turbines Power 130 (4): 042504. https://doi.org/10.1115/1.2904891.
Simak, J., P. Straka, and J. Pelant. 2012. “Numerical solution of a flow inside a labyrinth seal.” In Proc., EPJ Web Conf., 25. Les Ulis Cedex A, France: EDP Sciences.
Special Metals Corporation. 2007. “INCONEL Alloy 718.” Accessed October 23, 2017. http://www.specialmetals.com/tech-center/alloys.html/inconel-alloy-718.pdf.
Subramanian, S., A. S. Sekhar, and B. V. S. S. S. Prasad. 2015a. “Influence of combined radial location and growth on the leakage performance of a rotating labyrinth gas turbine seal.” J. Mech. Sci. Technol. 29 (6): 2535–2545. https://doi.org/10.1007/s12206-015-0545-8.
Subramanian, S., A. S. Sekhar, and B. V. S. S. S. Prasad. 2015b. “On the choice of initial clearance and prediction of leakage flow rate for a rotating gas turbine seal.” Proc. Inst. Mech. Eng. C: J. Mech. Eng. Sci. 230 (10): 1586–1601. https://doi.org/10.1177/0954406215581692.
Subramanian, S., A. S. Sekhar, and B. V. S. S. S. Prasad. 2016. “Rotordynamic characteristics of rotating labyrinth gas turbine seal with centrifugal growth.” Tribol. Int. 97 (May): 349–359. https://doi.org/10.1016/j.triboint.2016.01.003.
Tam, L. T., A. J. Przekwas, A. Muszynska, R. C. Hendricks, M. J. Braun, and R. L. Mullen. 1988. “Numerical and analytical study of fluid dynamic forces in seals and bearings.” J. Vib. Acoust. Stress. Reliab. Des. 110 (3): 315–325. https://doi.org/10.1115/1.3269519.
Thorat, M. R., and D. W. Childs. 2010. “Predicted rotordynamic behavior of a labyrinth seal as rotor surface speed approaches Mach 1.” J. Eng. Gas Turbines Power 132 (11): 112504. https://doi.org/10.1115/1.4000895.
Timoshenko, S. P., and J. Goodier. 1997. Theory of elasticity. New York: McGraw-Hill.
Tyacke, J. C., R. J. Jefferson-Loveday, and P. G. Tucker. 2013. “On the application of LES to seal geometries.” Flow Turbul. Combust. 91 (4): 827–848. https://doi.org/10.1007/s10494-013-9480-x.
Vermes, G. 1961. “A fluid mechanics approach to the labyrinth seal leakage problem.” J. Eng. Power 83 (2): 161–169. https://doi.org/10.1115/1.3673158.
Wang, W. Z., Y. Z. Liu, and P. N. Jiang. 2015. “Numerical investigation on influence of real gas properties on nonlinear behavior of labyrinth seal-rotor system.” Appl. Math. Comput. 263 (Jul): 12–24. https://doi.org/10.1016/j.amc.2015.03.133.
Waschka, W., S. Wittig, and S. Kim. 1992. “Influence of high rotational speeds on the heat transfer and discharge coefficients in labyrinth seals.” J. Turbomach. 114 (2): 462–468. https://doi.org/10.1115/1.2929166.
Wittig, S., U. Schelling, S. Kim, and K. Jacobsen. 1987. “Numerical predictions and measurements of discharge coefficients in labyrinth seals.” In Proc., ASME 1987 Int. Gas Turbine Conf. and Exhibition. New York: ASME.
Wyssmann, H., T Pham, and R. Jenny. 1984. “Predietion of stiffess and damping coefficients for centrifugal compress or labyrinth seals.” J. Eng. Gas Turbines Power. 106 (4): 920–926. https://doi.org/10.1115/1.3239659.
Yan, X., K. He, J. Li, and Z. P. Feng. 2014. “Numerical techniques for computing nonlinear dynamic characteristic of rotor-seal system.” J. Mech. Sci. Technol. 28 (5): 1727–1740. https://doi.org/10.1007/s12206-014-0318-9.
Zhang, E. J., Y. H. Jiao, Z. B. Chen, M. Z. Li, and F. L. Liu. 2016a. “Nonlinear dynamic analysis of a rotor system excited by labyrinth seal force.” [In Chinese.] J. Vibr. Shock 35 (9): 159–163. https://doi.org/10.13465/j.cnki.jvs.2016.09.025.
Zhang, E. J., Y. H. Jiao, Z. B. Chen, and W. C. Mo. 2016b. “Nonlinear dynamic analysis of a rotor-labyrinth seal-bearing-foundation system.” In Proc., ASME 2016 Int. Mechanical Engineering Congress and Exposition. New York: ASME.
Zhang, H., X. Y. Jia, X. J. Pan, B. Jiang, and Q. Zheng. 2016c. “Interaction between rotor and annular seals: Interlaced and straight-through labyrinth seals.” J. Propul. Power 32 (6): 1483–1493. https://doi.org/10.2514/1.B35750.

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Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 32Issue 4July 2019

History

Received: Oct 26, 2017
Accepted: Nov 9, 2018
Published online: Apr 29, 2019
Published in print: Jul 1, 2019
Discussion open until: Sep 29, 2019

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Enjie Zhang [email protected]
Ph.D. Candidate, School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China. Email: [email protected]
Yinghou Jiao [email protected]
Professor, School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China (corresponding author). Email: [email protected]
Zhaobo Chen [email protected]
Professor, School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China. Email: [email protected]

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