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TECHNICAL PAPERS: Gas Turbines: Heat Transfer and Turbomachinery

Development of a Two-Dimensional Computational Fluid Dynamics Approach for Computing Three-Dimensional Honeycomb Labyrinth Leakage

[+] Author and Article Information
Dong-Chun Choi, David L. Rhode

Mechanical Engineering Department, Texas A&M University, College Station, TX 77843

J. Eng. Gas Turbines Power 126(4), 794-802 (Nov 24, 2004) (9 pages) doi:10.1115/1.1772405 History: Received October 01, 2002; Revised March 01, 2003; Online November 24, 2004
Copyright © 2004 by ASME
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References

Martin,  H. M., 1908, “Labyrinth Packings,” J. Engineering,85, pp. 33–36.
Egli,  A., 1935, “The Leakage of Steam Through Labyrinth Seals,” Trans. ASME, 57, pp. 115–122.
Kearton,  W. J., and Keh,  T. H., 1952, “Leakage of Air Through Labyrinth Glands of the Staggered Type,” Proc. Inst. Mech. Eng., 166, pp. 180–188.
Stocker, H. L., 1978, “Determining and Improving Labyrinth Seal Performance in Current and Advanced High Performance Gas Turbines,” AGARD CP-237 Conference Proceedings, pp. 13/1–13/22.
Schramm,  V., Willenborg,  K., Kim,  S., and Wittig,  S., 2002, “Influence of a Honeycomb-Facing on the Flow Through a Stepped Labyrinth Seal,” ASME J. Eng. Gas Turbines Power, 124, pp. 140–146.
Rhode,  D. L., and Allen,  B. F., 2001, “Measurement and Visualization of Leakage Effects of Rounded Teeth Tips and Rub-Grooves on Stepped Labyrinths,” ASME J. Eng. Gas Turbines Power, 123, pp. 604–611.
Prasad, B. V. S. S. S., Sethu Manavalan, V., and Nanjunda Rao, N., 1997, “Computational and Experimental Investigations of Straight-Through Labyrinth Seals,” ASME Paper No. 97-GT-326.
Zimmermann, H., Kammerer, A., and Wolff, K. H., 1994, “Performance of Worn Labyrinth Seals,” ASME Paper No. 94-GT-131.
Demko,  J. A., Morrison,  G. L., and Rhode,  D. R., 1990, “Effect of Shaft Rotation on the Incompressible Flow in a Labyrinth Seal,” J. Propulsion,6, pp. 171–176.
Brownell,  J. B., Millward,  J. A., and Parker,  R. J., 1989, “Nonintrusive Investigations Into Life-Size Labyrinth Seal Flow Fields,” ASME J. Eng. Gas Turbines Power, 111, pp. 335–342.
Bill, R. C., and Shiembob, L. T., 1977, “Friction and Wear of Sintered Fiber-Metal Abradable Seal Materials,” NASA TM X73650.
Stoff,  H., 1980, “Incompressible Flow in a Labyrinth Seal,” J. Fluid Mech., 100, pp. 817–829.
Rhode,  D. L., and Adams,  R. G., 2001, “Computed Effect of Rub-Groove Size on Stepped Labyrinth Seal Performance,” Tribol. Trans., 44, pp. 523–532.
Rhode, D. L., and Allen, B. F., 1998, “Visualization and Measurements of Leakage Effects on Straight-Through Labyrinth Seals,” ASME Paper No. 98-GT-506.
Denecke, J., Schramm, V., Kim, S., and Wittig, S., 2002, “Influence of Rub-Grooves on Labyrinth Seal Leakage,” ASME Paper No. GT-2002-30244.
Waschka,  W., Wittig,  S., and Kim,  S., 1992, “Influence of High Rotational Speeds on the Heat Transfer and Discharge Coefficients in Labyrinth Seals,” ASME J. Turbomach., 114, pp. 462–468.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York.
El Tahry,  S. H., 1983, “k-ε Equation for Compressible Reciprocating Engine Flows,” J. Energy, , 7(4), pp. 345–353.
Rhode,  D. L., and Hibbs,  R. I., 1993, “Clearance Effects on Corresponding Annular and Labyrinth Seal Flow Leakage Characteristics,” ASME J. Tribol., 115, pp. 699–704.
Wittig, S., Schelling, U., Kim, S., and Jacobsen, K., 1987, “Numerical Predictions and Measurements of Discharge Coefficients in Labyrinth Seals,” ASME Paper No. 87-GT-188.
Gercke,  Max Jobst, 1934, “Flow Through Labyrinth Packing,” Mech. Eng. (Am. Soc. Mech. Eng.), 56(11), pp. 678–680.

Figures

Grahic Jump Location
Capability demonstration of the new two-dimensional CFD approach for various DTC values and C=0.25 mm with Pup=378 kPa and Pdn=127 kPa
Grahic Jump Location
Capability demonstration of the new two-dimensional CFD approach for various DTC values and C=0.38 mm with Pup=378 kPa and Pdn=127 kPa
Grahic Jump Location
Capability demonstration of the new two-dimensional CFD approach for various values of DTC and clearance with Pup=601 kPa and Pdn=202 kPa
Grahic Jump Location
Capability demonstration of the new two-dimensional CFD approach for various values of DTC and clearance with Pup=601 kPa and Pdn=302 kPa
Grahic Jump Location
Flow pattern example for a case where the two-dimensional axisymmetric honeycomb fin is axially aligned with the tooth DTC=4.4 mm
Grahic Jump Location
Configuration and nomenclature of the stepped labyrinth considered (C/TT=0.20, 0.33, 0.50, DTF1/TT=0.57–1.05, DTF2/TT=1.05, 2.10, S/TT=2.67, DTC/TT=2.50, 5.83, 9.17, TP/TT=11.67, TT=0.762 mm)
Grahic Jump Location
Test section of the two-dimensional experimental facility
Grahic Jump Location
Honeycomb configuration for (a) the actual hexagonal honeycomb hardware and (b) the new two-dimensional axisymmetric approximation of the actual hexagonal honeycomb
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Representative grid showing the two-dimensional axisymmetric approximate honeycomb fins
Grahic Jump Location
Leakage solutions found in determining the DTF1 value for the two-dimensional axisymmetric CFD approach for Pup=378 kPa
Grahic Jump Location
Leakage solutions found in determining the DTF1 value for the higher upstream pressure of Pup=601 kPa
Grahic Jump Location
Recommended values of DTF1 for application of the new two-dimensional CFD approach
Grahic Jump Location
Capability demonstration of the new two-dimensional CFD approach for various clearances and DTC=4.4 mm with Pup=378 kPa and Pdn=127 kPa
Grahic Jump Location
Flow pattern example for a case where the two-dimensional axisymmetric honeycomb fin is not axially aligned with the tooth
Grahic Jump Location
Capability demonstration of the new two-dimensional CFD approach for various clearances and DTC=4.4 mm with Pup=378 kPa and Pdn=251 kPa
Grahic Jump Location
Capability demonstration of the new two-dimensional CFD approach for various DTC values and C=0.15 mm with Pup=378 kPa and Pdn=127 kPa
Grahic Jump Location
Flow pattern example for a case where the two-dimensional axisymmetric honeycomb fin is axially aligned with the tooth and DTC=1.9 mm

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