Abstract
The clearance has an obvious influence on the rotordynamic characteristics of brush seals. In order to better know the influence of brush seal on the stability of the rotor bearing system, the rotordynamic coefficients of labyrinth brush seal under different clearance cases and operating conditions are numerically analyzed using CFD RANS solutions coupling with a non-Darcian porous medium model. The results show that at the same geometry parameter the radial force and tangential force will increase when the pressure ratio rises. And when the clearance increases, the direct stiffness decreases sharply at first and then rises slightly. The variation of cross-coupled stiffness is complex. Moreover, at the same operating condition the value of direct damping coefficients increases when clearance increases, which add a stable factor to the rotor.
Funding statement: This research was supported by the National Natural Science Foundation of China (grant no. 11272100, 11672083).
Nomenclature
- O
Support point
- O’
Geometric centers of the disk
- ω
Rotor rotational speed, r/min
- Ω
Whirl velocity, r/min
- e
Rotor eccentricity, mm
- hfh
Fence height, mm
- hbf
Free bristle height, mm
- tb
Thickness of bristle pack, mm
- hur
Upper region height, mm
- cr
Clearance, mm
- Ai
Viscous resistance tensors, m−2
- Bi
Inertial resistance tensors, m−1
- p
Pressure, Pa
- t
Seal cavity axial length, mm
- ΔP
Pressure differential
- Rp
Pressure ratio=pu/pd
- ui
Flow velocity, m/s
- xi
Coordinate direction, m
- ε
Turbulent dissipation
- μ
Molecular viscosity, Pa.s
- ρ
Density of fluid, kg/m3
- K
Direct stiffness, N/mm
- k
Cross-coupled stiffness, N/mm
- C
Direct damping, N·s/mm
- c
Cross-coupled damping, N·s/mm
- i
Spatial coordinate
- u
Upstream
- d
Downstream
- LS
Labyrinth seal
- LBS
Labyrinth brush seal
References
1. Chupp RE, Johnson RP, Loewenthal RG. Brush seal development for large industrial gas turbines. Proceedings of the 31st AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, San Diego, USA, July 10–12, Paper No. AIAA 95–3146, 1995.10.2514/6.1995-3146Search in Google Scholar
2. Flitney R. Seals and sealing handbook, 5th ed. Oxford: Elsevier, 2007:Chaps. 3.Search in Google Scholar
3. Pastrana RM, Wolfe CE, Turnquist NA, Burnett ME. Improved steam turbine leakage control with a brush seal design. Proceedings of the 30th Turbomachinery Symposium, Houston, USA, September 17–20, 2001:33–8.Search in Google Scholar
4. Short JF, Basu P, Datta A, Lowenthal RG, Robert JP. Advanced brush seal development. Proceedings of the 32nd AIAA/ASME/SAE/ASEE/Joint Propulsion Conference and Exhibit, Lake Buena Vista, USA, July 1–3, 1996, Paper No. AIAA 96–2907, 1996.10.2514/6.1996-2907Search in Google Scholar
5. Chupp RE, Ghasripoor F, Turnquist NA. Advanced seals for industrial turbine applications: dynamic seal development. J Propulsion Power 2002;18(6):1260–6.10.2514/2.6061Search in Google Scholar
6. Aslan-Zada FE, Mammadov VA, Dohnal F. Brush seals and labyrinth seals in gas turbine applications. Proc IMechE Part A J Power Energy 2013;227(2):216–30.10.1177/0957650912464922Search in Google Scholar
7. Aksit MF, Tichy JA. Wear of brush seals: background and new modeling approach. Tribol Trans 1998;41(3):368–74.10.1080/10402009808983760Search in Google Scholar
8. Basu P, Datta A, Loewenthal R, Short J, Johnson R. Hysteresis and bristle stiffening effects in brush seals. J Propulsion Power 1994;10(4):569–75.10.2514/3.23810Search in Google Scholar
9. Guardino C, Chew JW. Numerical simulation of three-dimensional bristle bending in brush seals. J Eng Gas Turbines Power 2005;127:583–91.10.1115/1.1850943Search in Google Scholar
10. Crudgington PF, Bowsher A. Brush seal blow down. Proceedings of the 39th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Huntsville, USA, July 20–23, Paper No. AIAA 2003–4697, 2003.10.2514/6.2003-4697Search in Google Scholar
11. Dowell EH. Aeroelasticity of plates and shells. Groningen: Noordhoff International Publishing, 1975.10.1115/1.3423871Search in Google Scholar
12. Dowell EH. A modern course in aeroelastisity, 5th ed. Switzerland: Springer International Publishing, 2015.10.1007/978-3-319-09453-3Search in Google Scholar
13. Goldman BD, Dowell EH. Nonlinear oscillations of a fluttering plate resting on a unidirectional elastic foundation. AIAA J 2014;52:2364–8.10.2514/1.J053290Search in Google Scholar
14. Conner KJ, Childs DW. Rotordynamic coefficient test results for a four-stage brush seal. J Propulsion Power 1993;9(3):462–5.10.2514/3.23644Search in Google Scholar
15. Delgado A, Andrés LS. Measurements of leakage, structural stiffness and energy dissipation parameters in a shoed brush seal. Sealing Technol 2005;12:7–10.10.1016/S1350-4789(06)70993-XSearch in Google Scholar
16. Delgado A, Andrés LS. Identification of structural stiffness and damping coefficients of a shoed-brush. J Vib Acoust 2007;129:648–55.10.1115/1.2775516Search in Google Scholar
17. Andrés LS, Baker J, Delgado A. Rotordynamic force coefficients of a hybrid brush seal: measurements and predictions. J Eng Gas Turbines Power 2010;132:042503.10.1115/1.3159377Search in Google Scholar
18. Bidkar RA, Zheng X, Demiroglu M, Turnquist N. Stiffness measurement for pressure-loaded brush seals. Proceedings of ASME Turbo Expo 2011, Vancouver, British Columbia, Canada, June 6–10, Paper No. GT2011-45399, 2011.10.1115/GT2011-45399Search in Google Scholar
19. Pugachev AO, Deckner M. CFD prediction and test results of stiffness and damping coefficients for brush-labyrinth gas seals. Proceedings of ASME Turbo Expo 2010: Power for Land, Sea and Air, Glasgow, UK, June 14–18, Paper No. GT2010-22667, 2010.10.1115/GT2010-22667Search in Google Scholar
20. Pugachev AO, Deckner M. Experimental and theoretical rotordynamic stiffness coefficients for a three-stage brush seal. Mech Syst Signal Process 2012;31:143–54.10.1016/j.ymssp.2012.03.015Search in Google Scholar
21. Gaszner M, Pugachev AO, Georgakis C, Cooper P. Leakage and rotordynamic coefficients of brush seals with zero cold clearance used in an arrangement with labyrinth fins. J Eng Gas Turbines Power 2013;135:122506.10.1115/1.4025236Search in Google Scholar
22. Athavale M, Przekwas A, Hendricks R. A finite volume numerical method to calculate fluid forces and rotordynamic coefficients in seals. Proceedings of the 28th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Nashville, USA, July 6–8, Paper No. 92–3712, 1992.10.2514/6.1992-3712Search in Google Scholar
23. Rao JS, Saravanokumar M. Numerical simulation of seal flow and determination of stiffness and damping coefficient. Proceedings of the 7th IFToMM International Conference on Rotor Dynamics, Vienna, Austria, September 25–28, 2006:25–8.Search in Google Scholar
24. Li J, Qiu B, Jiang S, Feng Z. Experimental and numerical investigations on the leakage flow characteristics of the labyrinth brush seal. J Eng Gas Turbines Power 2012;134:102509.10.1115/1.4007062Search in Google Scholar
25. Chew JW, Hogg SI. Porosity modeling of brush seals. J Tribol 1997;119:769–75.10.1115/1.2833883Search in Google Scholar
26. Holle GF, Chupp RE, Dowler CA. Brush seal leakage correlations based on effective thickness. Proceedings of the 4th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery (ISROMAC-4), Honolulu, USA, April 5–8, 1992:296–304.Search in Google Scholar
27. Wei Y, Dowell EH, Chen Z, Jiao Y, Zhang Z. Influence of geometry on rotordynamic coefficients of brush seal. Int J Turbo Jet Engines 2016;aop:1–12.10.1515/tjj-2015-0063Search in Google Scholar
28. Celik IB, Ghia U, Roache PJ, Freitas CJ, Coleman H, Raad PE. Procedure for estimation and reporting of uncertainty due to discretization in CFD applications. J Fluids Eng 2008;130(7):078001.10.1115/1.2960953Search in Google Scholar
© 2019 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Original Research Articles
- Optimization Design and Experimental Study of a Two-disk Rotor System Based on Multi-Island Genetic Algorithm
- Experimental Investigation of the Effect of the Probe Support Tail Structure on the Compressor Cascade Flow Field
- Investigation on Rotor-Labyrinth Seal System with Variable Rotating speed
- Numerical Prediction of Impact of Clearance on Rotordynamic Coefficients for Labyrinth Brush Seal
- CH* Luminance Distribution Application and a One-Dimensional Model of the Supersonic Combustor Heat Release Quantization
- Bleeding Control for Improving Internal Waverider Inlet Self-Starting ability
- Soot Formation and Its Effect in an Aero Gas Turbine Combustor
- Studies on the Effect of Staggering the Rear Rotor in a Counter Rotating Turbine with Respect to Flow and Performance Parameters
- Aerodynamic Performance and Flow Characteristics of an Industrial Centrifugal Blower Volute with Varied Cross-Sectional Shapes/Area Ratios
- CFD Design Study of a Pressure Probe for Centerline Static Pressure Measurement in Supersonic Ejectors
- The Performance of the Self-Supplying Vortex Generator Jets on a High-Speed Compressor Cascade
Articles in the same Issue
- Frontmatter
- Original Research Articles
- Optimization Design and Experimental Study of a Two-disk Rotor System Based on Multi-Island Genetic Algorithm
- Experimental Investigation of the Effect of the Probe Support Tail Structure on the Compressor Cascade Flow Field
- Investigation on Rotor-Labyrinth Seal System with Variable Rotating speed
- Numerical Prediction of Impact of Clearance on Rotordynamic Coefficients for Labyrinth Brush Seal
- CH* Luminance Distribution Application and a One-Dimensional Model of the Supersonic Combustor Heat Release Quantization
- Bleeding Control for Improving Internal Waverider Inlet Self-Starting ability
- Soot Formation and Its Effect in an Aero Gas Turbine Combustor
- Studies on the Effect of Staggering the Rear Rotor in a Counter Rotating Turbine with Respect to Flow and Performance Parameters
- Aerodynamic Performance and Flow Characteristics of an Industrial Centrifugal Blower Volute with Varied Cross-Sectional Shapes/Area Ratios
- CFD Design Study of a Pressure Probe for Centerline Static Pressure Measurement in Supersonic Ejectors
- The Performance of the Self-Supplying Vortex Generator Jets on a High-Speed Compressor Cascade