Experiments measuring the leakage rate through hole-pattern seals operating at high pressures of up to 8400 kPa reveal the presence of an abrupt variation in the friction factor (up to a factor of three) with change in the pressure difference across the seal. The measured pressure fluctuations suggest that this observation may, perhaps, be understood as a change in fluid instability modes across the cavities of the seal. A more detailed investigation via large eddy simulations (LES) suggest that the switching from shear layer instability mode to a wake instability mode, a phenomenon well known in fundamental studies of cavity flow (without a top bounding wall), is responsible for the observed variation.
Issue Section:
Flows in Complex Systems
References
1.
Ha
, T. W.
, 1992
, “Rotordynamic Analysis of Annular Honeycomb-Stator Turbulent Gas Seals Using Friction Factor Model Based on Flat Plate Tests
,” Ph.D. dissertation
, Department of Mechanical Engineering, Texas A&M University, College Station, TX.2.
San Andres
, L.
, 2010
, “Introduction to Bearings and Seals
,” Class Notes
, Texas A&M University, Last accessed Feb. 10, 2016.3.
Childs
, D. W.
, and Yu
, Z.
, 1988
, “A Comparison of Experimental Rotordynamic Coefficients and Leakage Characteristics Between Hole-Pattern Gas Damper Seals and a Honeycomb Seal
,” ASME J. Eng. Gas Turbines Power
, 120
, pp. 778
–783
.4.
Moody
, L. F.
, 1944
, “Friction Factors for Pipe Flow
,” Trans. ASME
, 66
, pp. 671
–684
.5.
Ha
, T. W.
, 1989
, “Friction Factor Data for Flat-Plate Tests of Smooth and Honeycomb Surfaces
,” M.S. thesis, Department of Mechanical Engineering, Texas A&M University, College Station, TX.6.
Asirvatham
, D. A.
, 2010
, “Friction Factor Measurement, Analysis, and Modeling for Flat-Plates With 12.15 mm Diameter Hole-Pattern, Tested With Air at Different Clearances, Inlet Pressures, and Pressure Ratios
,” M.S. thesis, Department of Mechanical Engineering, Texas A&M University, College Station, TX.7.
Sekaran
, A.
, 2012
, “Analysis of Instabilities and Their Impact on Friction-Factor in Hole-Pattern Seals
,” Ph.D. dissertation
, Department of Mechanical Engineering, Texas A&M University, College Station, TX.8.
Childs
, D. W.
, Kheireddin
, B.
, Phillips
, S.
, and Asirvatham
, T. D.
, 2011
, “Friction Factor Behavior From Flat-Plate Tests of Smooth and Hole-Pattern Roughened Surfaces With Supply Pressures up to 84 Bars
,” ASME J. Eng. Gas Turbines Power
, 133
(9
), p. 092504
.9.
Thomas
, J.
, 1992
, “Determination of Variation of Friction Factor With Reynolds Number for Flow Between Two Closely Spaced Rough Plates
,” Senior thesis, Texas A&M University, College Station, TX.10.
Nava
, D. L.
, 1993
, “Observations of Friction Factors for Various Roughness Patterns in Channel Flow
,” M.S. thesis, Department of Mechanical Engineering, Texas A&M University, College Station, TX.11.
Childs
, D. W.
, and Fayolle
, P.
, 1999
, “Test Results for Liquid Damper Seals Using a Round-Hole Roughness Pattern for the Stators
,” ASME J. Tribol.
, 121
(1
), pp. 42
–49
.12.
Rossiter
, J. E.
, 1966
, “Wind-Tunnel Experiments on the Flow Over Rectangular Cavities at Subsonic and Transonic Speeds
,” Aeronautical Research Council, Technical Reports and Memo No. 3438.13.
Karamacheti
, K.
, 1955
, “Acoustic Radiation From Two-Dimensional Rectangular Cutouts in Aerodynamic Surfaces
,” Report No. NACA TM 3478.14.
Roshko
, A.
, 1955
, “Some Measurements of Flow in a Rectangular Cutout
,” NACA Technical Note No. 3488.15.
Plumblee
, H. E.
, Gibson
, J. S.
, and Lassiter
, L. W.
, 1962
, “A Theoretical and Experimental Investigation of the Acoustic Response of Cavities in an Aerodynamic Flow
,” Wright-Patterson Air Force Base, Dayton, OH, Technical Report No. WADD TR-61-75 (AD-277803).16.
East
, L. F.
, 1966
, “Aerodynamically Induced Resonance in Rectangular Cavities
,” J. Sound Vib.
, 3
(3
), pp. 277
–287
.17.
Heller
, H. H.
, and Bliss
, D. B.
, 1975
, “Aerodynamically Induced Pressure Oscillations in Cavities—Physical Mechanisms and Suppression Concepts
,” Air Force Flight Dynamics Laboratory, Technical Report No. AFFDL-TR-74-133
.18.
Rockwell
, D.
, and Naudascher
, E.
, 1978
, “Review-Self-Sustaining Oscillations of Flow Past Cavities
,” ASME J. Fluids Eng.
, 100
(2
), pp. 152
–165
.19.
Sarohia
, V.
, 1976
, “Experimental Investigation of Oscillations in Flows Over Shallow Cavities
,” AIAA
Paper No. 76-182. 20.
Kegerise
, M. A.
, Spina
, E. F.
, and Cattafesta
, L. N.
, 1999
, “An Experimental Investigation of Flow-Induced Cavity Oscillations
,” AIAA
Paper No. 99-3705. 21.
Zhang
, X.
, 1995
, “Compressible Cavity Flow Oscillation Due to Shear Layer Instabilities and Pressure Feedback
,” AIAA J.
, 33
(8
), pp. 1404
–1411
.22.
Shieh
, C. M.
, and Morris
, P. J.
, 1999
, “Parallel Numerical Simulation of Subsonic Cavity Noise
,” AIAA
Paper No. 99-1891.23.
Colonius
, T.
, Basu
, A. J.
, and Rowley
, C. W.
, 1999
, “Computation of Sound Generation and Flow/Acoustic Instabilities in the Flow Past an Open Cavity
,” ASME
Paper No. FEDSM99-7228.24.
Gloerfelt
, X.
, Bailly
, C.
, and Juvé
, D.
, 2001
, “Computation of the Noise Radiated by a Subsonic Cavity Using Direct Simulation and Acoustic Analogy
,” AIAA
Paper No. 2001-2226. 25.
Larcheveque
, L.
, Sagaut
, P.
, Mary
, I.
, Labbé
, O.
, and Comte
, P.
, 2003
, “Large-Eddy Simulation of a Compressible Flow Past a Deep Cavity
,” Phys. Fluids
, 15
(1
), pp. 193
–210
.26.
Srinivasan
, S.
, and Baysal
, O.
, 1991
, “Navier–Stokes Calculations of Transonic Flows Past Cavities
,” ASME J. Fluids Eng.
, 113
(3
), pp. 368
–376
.27.
Chang
, K.
, Constantinescu
, G.
, and Park
, S.
, 2007
, “Assessment of Predictive Capabilities of Detached Eddy Simulation to Simulate Flow and Mass Transport Past Open Cavities
,” ASME J. Fluids Eng.
, 129
(11
), pp. 1372
–1383
.28.
Suponitsky
, V.
, Avital
, E.
, and Gaster
, M.
, 2005
, “On Three-Dimensionality and Control of Incompressible Cavity Flow
,” Phys. Fluids
, 17
(10
), p. 104103
.29.
Colonius
, T.
, 2001
, “An Overview of Simulation, Modeling, and Active Control of Flow/Acoustic Resonance in Open Cavities
,” AIAA
Paper No. 2001-0076. 30.
Rowley
, C. W.
, Colonius
, T.
, and Basu
, A. J.
, 2002
, “On Self-Sustained Oscillations in Two-Dimensional Compressible Flow Over Rectangular Cavities
,” J. Fluid Mech.
, 455
, pp. 315
–346
.31.
Rowley
, C. W.
, and Williams
, D. R.
, 2006
, “Dynamics and Control of High-Reynolds-Number Flow Over Open Cavities
,” Annu. Rev. Fluid Mech.
, 38
(1
), pp. 251
–276
.32.
FLUENT, ANSYS
, 2010
, “Fluent Theory Guide
,” SAS IP, Inc.
, Canonsburg, PA
.33.
Brès
, G. A.
, and Colonius
, T.
, 2008
, “Three-Dimensional Instabilities in Compressible Flow Over Open Cavities
,” J. Fluid Mech.
, 599
, pp. 309
–339
.34.
Faure
, T. M.
, Adrianos
, P.
, Lusseyran
, F.
, and Pastur
, L.
, 2007
, “Visualizations of the Flow Inside an Open Cavity at Medium Range Reynolds Numbers
,” Exp. Fluids
, 42
(2
), pp. 169
–184
.35.
Brès
, G.
, 2007
, “Numerical Simulations of Three-Dimensional Instabilities in Cavity Flows
,” Ph.D. dissertation
, California Institute of Technology, Pasadena, CA.36.
Liliedahl
, D. N.
, Carpenter
, F. L.
, and Cizmas
, P. G. A.
, 2010
, “Prediction of Aeroacoustic Resonance in Cavities of Hole-Pattern Stator Seals
,” ASME J. Eng. Gas Turbines Power
, 133
(2
), p. 022504
.37.
Lesieur
, M.
, Staquet
, C.
, Le Roy
, P.
, and Comte
, P.
, 1988
, “The Mixing Layer and Its Coherence Examined From the Point of View of Two-Dimensional Turbulence
,” J. Fluid Mech.
, 192
, pp. 511
–534
.38.
Sekaran
, A.
, and Morrison
, G. L.
, 2012
, “LES Investigations of Instabilities in Cavity Flow With a Top Boundary
,” 65th Annual Meeting of the APS Division of Fluid Dynamics
, San Diego, CA.39.
Rockwell
, D.
, and Knisely
, C.
, 1979
, “The Organized Nature of Flow Impingement Upon a Corner
,” J. Fluid Mech.
, 93
(03), pp. 413
–432
.40.
Coleman
, H. W.
, 1989
, Experimentation and Uncertainty Analysis for Engineers
, Wiley
, New York
.41.
Kheireddin
, B. A.
, 2009
, “Investigation of the Friction Factor Behavior for Flat Plate Tests of Smooth and Roughened Surfaces With Supply Pressures up to 84 bars
,” M.S. thesis
, Department of Mechanical Engineering, Texas A&M University, College Station, TX.Copyright © 2016 by ASME
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