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TECHNICAL PAPERS

On a General Method of Unsteady Potential Calculation Applied to the Compression Stages of a Turbomachine—Part I: Theoretical Approach

[+] Author and Article Information
F. Bakir, S. Kouidri, T. Belamri, R. Rey

Laboratoire d’ Energetique e de Mechanique des Fluides Interne, Ecole Nationale Superieure d’ Arts et Metiers, 151, boulevard de l’Hopital, 75013 Paris, France

J. Fluids Eng 123(4), 780-786 (Jun 06, 2001) (7 pages) doi:10.1115/1.1399286 History: Received October 01, 1999; Revised June 06, 2001
Copyright © 2001 by ASME
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References

Verdon,  J. M., 1993, “Review of Unsteady Aerodynamic Aethods for Turbomachinery Aeroelastic and Aeroacoustic Applications,” AIAA J., 31, pp. 235–250.
Ganz, U., Glegg, S. A. L., and Joppa, P., 1998, “Measurement and Prediction of Broadband Fan Noise,” AIAA paper. no 98-2316.
Fleeter,  S., Jay,  R. L., and Bennett,  W. A., 1981, “Wake Induced Time-variant Aerodynamics Including Rotor-Stator Axial Spacing Effects,” ASME J. Fluids Eng., 103, pp. 59–66.
Manwaring,  S. R., and Wisler,  D. C., 1993, “Unsteady Aerodynamics and Gust Response in Compressors and Turbines,” ASME J. Turbomach., 115, pp. 724–740.
Chung,  M. H., and Wo,  A. M., 1997, “Navier-Stokes and Potential Calculations of Axial Spacing Effect on Vortical and Potential Disturbances and Gust Response in Axial Compressor,” ASME J. Turbomach., 119, pp. 472–481.
Belamri, T., 1998, “Analyze Aube à Aube de l’Ecoulement Instationnaire Multigrilles par la Méthode des Singualrités-Application aux Turbomachines à Fluide Incompressible,” Thèse de Doctorat, Ecole Nationale Supérieure d’Arts et Métiers, Department of Mechanical Engineering, Paris, France (in French).
Belamri,  T., Bakir,  F., Kouidri,  S., and Rey,  R., 1999, “Numerical Stability Conditions in the Calculations of Potential Velocity Field,” AIAA J., 37, No. 2, pp. 272–276.
Qin,  W., and Tsukammoto,  H., 1997, “Theorical Study of Pressure Fluctuations Downstream of a Diffuser Pump Impeller Part 1: Fundamental Analysis on Rotor-Stator Interaction.” ASME J. Fluids Eng., 119, pp. 647–652.
Wo,  A. M., Chung,  M. H., and Hsu,  S. T., 1997, “Gust Response Decomposition in a Stator-Rotor axial Compressor with Varying Axial Gap,” J. Propul. Power, 13, No. 1, pp. 160–165.
Rai,  M. M., 1987, “Navier-Stokes Simulations of Rotor-Stator Interactions using Patched and overlaid Grids,” AIAA J., 3, No 5, pp. 387–396.
Berthillier, M., Dupont, C., Chanez, P., and Saurat, F., 1998, “Réponse Forcée Aéroelastique des Aubes de Turbomachines,” Revue Française de Mécanique, No. 4, pp. 265–275 (in French).
Wu,  S. F., Su,  S. G., and Shah,  H. S., 1997, “Modeling of the Noise Spectra of Axial Flow Fans in free Field,” J. Sound Vib., 200, No. 4, pp. 379–399.
Bakir,  F., Belamri,  T., and Rey,  R., 1998, “Theoretical and Experimental Study of the Blade to Blade Flow in a Centrifugal Pump,” International Journal of Turbo and Jet-Engines, 15, No. 4, pp. 275–291.
Dong,  R., Chu,  S., and Katz,  J., 1997, “Effect of Modification to Tongue and Impeller Geometry on Unsteady Flow, Pressure Fluctuations and Noise in a Centrifugal Pump,” ASME J. Turbomach., 119, pp. 506–515.

Figures

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Position of the singularities
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Discretization of the profile
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Parameters of discretization
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Absolute velocity field C/C1 calculated in the stage
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(a) Relative velocity field on the surface of the 4 rotor blades. (b) Absolute velocity field on the surface of the 7 stator blades.
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Geometry with equal pitch (case A)
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Strongly aperiodic geometry (case B)
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Pitch deviation lower than 1 percent (case C)
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Conformal mapping of a general cascade to a plane one
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Blade to blade pressure field (N=900 rpm,dRS=25 mm)
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Relative velocity field in the centrifugal impeller which has a strong angular asymmetric (qv/qvn=0.5N=900 rpm,dRS=25 mm)
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Influence of the distance impeller-volute tongue (N=900 rpm,qv/qvn=1,p1=0.5 bar)

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