Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-26T13:02:41.089Z Has data issue: false hasContentIssue false

Experimental study of a tip leakage flow: wavelet analysis of pressure fluctuations

Published online by Cambridge University Press:  05 August 2010

R. CAMUSSI*
Affiliation:
Department of Mechanical and Industrial Engineering, University of Roma Tre, Via della Vasca Navale 79, Rome, I-00146, Italy
J. GRILLIAT
Affiliation:
Department of Mechanical and Industrial Engineering, University of Roma Tre, Via della Vasca Navale 79, Rome, I-00146, Italy
G. CAPUTI-GENNARO
Affiliation:
Department of Mechanical and Industrial Engineering, University of Roma Tre, Via della Vasca Navale 79, Rome, I-00146, Italy
M. C. JACOB
Affiliation:
Centre Acoustique – LMFA UMR CNRS 5509, Ecole Centrale de Lyon, 36 Avenue Guy de Collongues, Lyon, F-69134 Ecully CEDEX, France
*
Email address for correspondence: [email protected]

Abstract

A wavelet-based conditional analysis of unsteady flow and sound signals highlights the role of intermittent perturbations both in the sound generation and the unsteady field of an aerofoil tip leakage flow experiment. It is shown how the most probable flow perturbations generated at the pressure side tip edge are convected through the gap and swept downstream along the suction side past the trailing edge tip corner, where they radiate sound. The nascent sound sources are identified and localized in the clearance between 40% and 60% of the chord. It is also found that the time dependence of the averaged intermittent structures scales with the inverse of the square root of the mean velocity and a physical interpretation based on a simple potential vortex model is proposed. The data are retrieved from an experiment that has been carried out at low Mach number (Ma < 0.3) in an anechoic test facility. A single motionless instrumented NACA 5510 aerofoil was mounted into the potential core of an open rectangular jet between two plates with an adjustable clearance. The tip leakage flow was ensured by the 5% camber and a 15° angle of attack. A large database obtained by a variety of measurement techniques is thus available for the present analysis. More specifically, the conditional approach is applied to joint far field, wall pressure and particle image velocimetry (PIV) measurements. The wall pressure probes are located along the suction side tip edge and on the tip inside the gap, whereas the PIV plane is parallel to the mid-gap plane. Additional joint wall pressure and single hot-wire anemometry (HWA) measurements are also analysed with a hot-wire probe located near the trailing edge tip corner. The conditional averaging is triggered by high-energy wavelet events selected in a reference signal by setting a threshold to the so-called local intermittency measure.

Type
Papers
Copyright
Copyright © Cambridge University Press 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Abry, P., Fauve, S., Flandrin, P. & Laroche, C. 1994 Analysis of pressure fluctuations in swirling turbulent flows. J. Phys. II 4, 725733.Google Scholar
Amiet, R. K. 1976 Noise due to a turbulent flow past a trailing edge. J. Sound Vib. 47, 387–383.CrossRefGoogle Scholar
Arguillat, B. 2006 Etude expérimentale et numérique de champs de pression pariétale dans l'espace des nombres d'onde, avec application aux vitrages automobiles. PhD thesis, Ecole Centrale de Lyon, Lyon.Google Scholar
Bindon, J. P. 1989 The measurement and formation of tip-clearance loss. J. Turbomach. 111, 257263.CrossRefGoogle Scholar
Camussi, R. & Di Felice, F. 2006 Statistical properties of large scale spanwise structures in zero pressure gradient turbulent boundary layers. Phys. Fluids 18, 035108.CrossRefGoogle Scholar
Camussi, R. & Guj, G. 1997 Orthonormal wavelet decomposition of turbulent flows: intermittency and coherent structures. J. Fluid Mech. 348, 177199.CrossRefGoogle Scholar
Camussi, R. & Guj, G. 1999 Experimental analysis of intermittent coherent structures in the near field of a high Re turbulent jet flow. Phys. Fluids 11, 423431.CrossRefGoogle Scholar
Casper, J. & Farassat, F. 2004 Broadband trailing edge noise predictions in the time domain. J. Sound Vib. 271, 159176.CrossRefGoogle Scholar
Corsini, A., Perugini, B., Rispoli, F., Sheard, A. G. & Kinghorn, I. R. 2005 Experimental and numerical investigation on passive devices for tip clearance induced noise reduction in axial flow fans. In Seventh European Conference on Turbomachinery, Athens, Greece.Google Scholar
Crighton, D. G. & Leppington, F. G. 1971 On the scattering of aerodynamic noise. J. Fluid Mech. 46, 577597.CrossRefGoogle Scholar
Dunne, R. C. & Howe, M. S. 1997 Wall-bounded blade-tip vortex interaction noise. J. Sound Vib. 202, 605618.CrossRefGoogle Scholar
Envia, E. 2001 Fan noise reduction: an overview. NASA TM-2001-210699.CrossRefGoogle Scholar
Farge, M. 1992 Wavelet transforms and their applications to turbulence. Annu. Rev. Fluid Mech. 24, 395457.CrossRefGoogle Scholar
Ffowcs Williams, J. E. & Hall, L. H. 1970 Aerodynamic sound generation by turbulent flow in the vicinity of a scattering half plane. J. Fluid Mech. 40, 657670.CrossRefGoogle Scholar
Fukano, T. & Jang, C. M. 2004 Tip clearance noise of axial flow fans operating at design and off-design condition. J. Sound Vib. 275, 10271050.CrossRefGoogle Scholar
Fukano, T. & Takamatsu, Y. 1986 The effects of tip clearance on the noise of low pressure axial and mixed flow fans. J. Sound Vib. 105, 291308.CrossRefGoogle Scholar
Ganz, U. W., Patten, T. J., Scharpf, D. F. & Joppa, P. D. 1998 Boeing 18-inch fan rig broadband noise test. NASA CR-1998-208704.Google Scholar
Goldstein, M. E. 1979 Scattering and distortion of the unsteady motion on transversely sheared mean flows. J. Fluid Mech. 91, 601632.CrossRefGoogle Scholar
Grilliat, J., Jacob, M. C., Camussi, R. & Caputi-Gennaro, G. 2007 Experimental study of a tip leakage flow. Part 1. Aerodynamic and aeroacoustic measurements. In 13th AIAA/CEAS Aeroacoustic conference, Rome, Italy. AIAA 2007-3684.Google Scholar
Grilliat, J., Jacob, M. C., Jondeau, E., Roger, M. & Camussi, R. 2008 Broaband noise prediction models and measurements of tip leakage flows. In 14th AIAA/CEAS Aeroacoustic conference, Vancouver, British Columbia. AIAA 2008-2845.Google Scholar
Groeneweg, J. F., Sofrin, T. G., Rice, E. J. & Gliebe, P. R. 1991 Turbomachinery noise. In Aeroacoustics of Flight Vehicles: Theory and Practice, Noise Sources (ed. Hubbard, H. H.), vol. 1, pp. 151210. NASA Langley Research Center.Google Scholar
Guj, G. & Camussi, R. 1999 Statistical analysis of local turbulent energy fluctuations. J. Fluid Mech. 382, 126.CrossRefGoogle Scholar
Guj, G., Carley, M., Camussi, R. & Ragni, A. 2003 Acoustic identification of coherent structures in a turbulent jet. J. Sound Vib. 259, 10371065.CrossRefGoogle Scholar
Guo, Y. P. 1999 Modeling of noise reduction by flap side edge fences. In 5th AIAA/CEAS Aeroacoustic Conference, Bellevue, WA. AIAA 99-1804.Google Scholar
Howe, M. S. 1978 A review of the theory of trailing edge noise. J. Sound Vib. 61, 437465.CrossRefGoogle Scholar
Intaratep, N. 2006 Formation and development of the tip leakage vortex in a simulated axial compressor with unsteady inflow. PhD thesis, Faculty of the Virginia Polytechnic Institute and State University, Blacksburg, VA.Google Scholar
Jacob, M. C., Grilliat, J., Camussi, R. & Caputi-Gennaro, G. 2010 Aeroacoustic investigation of a single airfoil tip leakage flow. Intl J. Aeroacoustics 9, 253272.CrossRefGoogle Scholar
Kameier, F. & Neise, W. 1997 a Experimental study of tip clearance losses and noise in axial turbomachines and their reduction. J. Turbomach. 119, 460471.CrossRefGoogle Scholar
Kameier, F. & Neise, W. 1997 b Rotating blade flow instability as a source of noise in axial turbomachines. J. Sound Vib. 203, 833853.CrossRefGoogle Scholar
Kevlahan, N. K. R. & Vassilicos, J. C. 1994 The space and scale dependencies of the self-similar structure of turbulence. Proc. R. Soc. Lond. A 447, 238255.Google Scholar
Khourrami, M. R. & Choudari, M. 2001 A novel approach for reducing rotor tip-clearance induced noise in turbofan engines. In 7th AIAA/CEAS Aeroacoustic Conference, Maastricht, Netherlands. AIAA 2001-2148.Google Scholar
Ma, R. 2003 Unsteady turbulence interaction in a tip leakage flow downstream of a simulated axial compressor rotor. PhD thesis, Faculty of the Virginia Polytechnic Institute and State University, Blacksburg, VA.Google Scholar
Mallat, S. 1989 A theory for multiresolution signal decomposition: the wavelet representation. Trans. IEEE: PAMI 11, 674693.Google Scholar
März, J., Hah, C. & Neise, W. 2002 An experimental and numerical investigation into the mechanisms of rotating instability. J. Turbomach. 124, 367375.CrossRefGoogle Scholar
Meneveau, C. 1991 Analysis of turbulence in the orthonormal wavelet representation. J. Fluid Mech. 232, 469520.CrossRefGoogle Scholar
Moreau, S. & Roger, M. 2009 Back-scattering correction and further extensions of Amiet's trailing-edge noise model. Part 2. Application. J. Sound. Vib. 323, 397425.CrossRefGoogle Scholar
Muthanna, C. & Devenport, W. J. 2004 Wake of a compressor cascade with tip gap. Part 1. Mean flow and turbulence structure. AIAA J. 42 (11), 23202331.CrossRefGoogle Scholar
Neise, W. 1976 Noise reduction in centrifugal fans: a literature survey. J. Sound Vib. 45, 375403.CrossRefGoogle Scholar
Roger, M. & Moreau, S. 2005 Back-scattering correction and further extensions of Amiet's trailing-edge noise model. Part 1. Theory. J. Sound Vib. 286, 477506.CrossRefGoogle Scholar
Roger, M. & Perennes, S. 1998 Aerodynamic noise of a two-dimensional wing with high-lift devices. In 4th AIAA/CEAS Aeroacoustic Conference, Toulouse, France. AIAA 1998-2338.Google Scholar
Rozenberg, Y., Roger, M., Guédel, A. & Moreau, S. 2007 Rotating blade self noise: experimental validation of analytical models. In Proceedings of the 13th AIAA/CEAS Aeroacoustics Conference, Rome, Italy. AIAA 2007-3709.Google Scholar
Storer, J. A. & Cumpsty, N. A. 1991 Tip leakage flows in axial compressors. Trans. ASME 113, 252259.Google Scholar
Tang, G. 2004 Measurements of the tip-gap turbulent flow structure in a low-speed compressor cascade. PhD thesis, Faculty of the Virginia Polytechnic Institute and State University, Blacksburg, VA.Google Scholar
Vavra, M. H. 1960 Aero-Thermodynamics and Flow in Turbomachines. Wiley.Google Scholar
Wang, Y. & Devenport, W. J. 2004 Wake of a compressor cascade with tip gap. Part 2. Effects of endwall motion. AIAA J. 42 (11), 23322340.CrossRefGoogle Scholar
Wenger, C. W, Devenport, W. J., Wittmer, K. S. & Muthanna, C. 2004 Wake of a compressor cascade with tip gap. Part 3. Two-point statistics. AIAA J. 42 (11), 23202331.CrossRefGoogle Scholar