An algorithm using the singularity method was developed. It allows taking into account the interaction between fixed and mobile cascades. Its principle is based on the summation of discrete vortices distributed periodically on the rotor and stator profiles. The overall matrix, obtained by applying the boundary conditions, takes into account the complexity of the studied cascade geometry (presence or not of splitter blades, possibly variable pitch of the profiles, etc…) To illustrate the interest and the impact of the algorithm, two parametric studies on turbomachines cascade are presented: Planes cascade made up of a rotor and a stator (at the mean radius of an axial fan). Circular cascade made up of impeller and a volute (peripheral cascade of a centrifugal pump).
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December 2001
Technical Papers
On a General Method of Unsteady Potential Calculation Applied to the Compression Stages of a Turbomachine—Part I: Theoretical Approach
F. Bakir,
F. Bakir
Laboratoire d’ Energetique e de Mechanique des Fluides Interne, Ecole Nationale Superieure d’ Arts et Metiers, 151, boulevard de l’Hopital, 75013 Paris, France
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S. Kouidri,
S. Kouidri
Laboratoire d’ Energetique e de Mechanique des Fluides Interne, Ecole Nationale Superieure d’ Arts et Metiers, 151, boulevard de l’Hopital, 75013 Paris, France
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T. Belamri,
T. Belamri
Laboratoire d’ Energetique e de Mechanique des Fluides Interne, Ecole Nationale Superieure d’ Arts et Metiers, 151, boulevard de l’Hopital, 75013 Paris, France
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R. Rey
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
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F. Bakir
Laboratoire d’ Energetique e de Mechanique des Fluides Interne, Ecole Nationale Superieure d’ Arts et Metiers, 151, boulevard de l’Hopital, 75013 Paris, France
S. Kouidri
Laboratoire d’ Energetique e de Mechanique des Fluides Interne, Ecole Nationale Superieure d’ Arts et Metiers, 151, boulevard de l’Hopital, 75013 Paris, France
T. Belamri
Laboratoire d’ Energetique e de Mechanique des Fluides Interne, Ecole Nationale Superieure d’ Arts et Metiers, 151, boulevard de l’Hopital, 75013 Paris, France
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
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division October 1, 1999; revised manuscript received June 6, 2001. Associate Editor: B. Schiavello.
J. Fluids Eng. Dec 2001, 123(4): 780-786 (7 pages)
Published Online: June 6, 2001
Article history
Received:
October 1, 1999
Revised:
June 6, 2001
Citation
Bakir , F., Kouidri , S., Belamri , T., and Rey, R. (June 6, 2001). "On a General Method of Unsteady Potential Calculation Applied to the Compression Stages of a Turbomachine—Part I: Theoretical Approach ." ASME. J. Fluids Eng. December 2001; 123(4): 780–786. https://doi.org/10.1115/1.1399286
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