This paper presents a throughflow analysis tool developed in the context of the average-passage flow model elaborated by Adamczyk. The Adamczyk’s flow model describes the 3D time-averaged flow field within a blade row passage. The set of equations that governs this flow field is obtained by performing a Reynolds averaging, a time averaging, and a passage-to-passage averaging on the Navier–Stokes equations. The throughflow level of approximation is obtained by performing an additional circumferential averaging on the 3D average-passage flow. The resulting set of equations is similar to the 2D axisymmetric Navier–Stokes equations, but additional terms resulting from the averages show up: blade forces, blade blockage factor, Reynolds stresses, deterministic stresses, passage-to-passage stresses, and circumferential stresses. This set of equations represents the ultimate throughflow model provided that all stresses and blade forces can be modeled. The relative importance of these additional terms is studied in the present contribution. The stresses and the blade forces are determined from 3D steady and unsteady databases (a low-speed compressor stage and a transonic turbine stage) and incorporated in a throughflow model based on the axisymmetric Navier–Stokes equations. A good agreement between the throughflow solution and the averaged 3D results is obtained. These results are also compared to those obtained with a more “classical” throughflow approach based on a Navier–Stokes formulation for the endwall losses, correlations for profile losses, and a simple radial mixing model assuming turbulent diffusion.
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e-mail: jsimon@techspace-aero.be
e-mail: jp.thomas@ulg.ac.be
e-mail: o.leonard@ulg.ac.be
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July 2009
Research Papers
On the Role of the Deterministic and Circumferential Stresses in Throughflow Calculations
J.-F. Simon,
J.-F. Simon
Techspace Aero,
e-mail: jsimon@techspace-aero.be
Safran Group
, Route de Liers 121, B-4041 Milmort, Belgium
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J. P. Thomas,
J. P. Thomas
FNRS Research Fellow
Turbomachinery Group,
e-mail: jp.thomas@ulg.ac.be
University of Liège
, Chemin des Chevreuils 1, B-4000 Liège, Belgium
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O. Léonard
O. Léonard
Turbomachinery Group,
e-mail: o.leonard@ulg.ac.be
University of Liège
, Chemin des Chevreuils 1, B-4000 Liège, Belgium
Search for other works by this author on:
J.-F. Simon
Techspace Aero,
Safran Group
, Route de Liers 121, B-4041 Milmort, Belgiume-mail: jsimon@techspace-aero.be
J. P. Thomas
FNRS Research Fellow
Turbomachinery Group,
University of Liège
, Chemin des Chevreuils 1, B-4000 Liège, Belgiume-mail: jp.thomas@ulg.ac.be
O. Léonard
Turbomachinery Group,
University of Liège
, Chemin des Chevreuils 1, B-4000 Liège, Belgiume-mail: o.leonard@ulg.ac.be
J. Turbomach. Jul 2009, 131(3): 031019 (12 pages)
Published Online: April 20, 2009
Article history
Received:
June 30, 2008
Revised:
July 30, 2008
Published:
April 20, 2009
Citation
Simon, J., Thomas, J. P., and Léonard, O. (April 20, 2009). "On the Role of the Deterministic and Circumferential Stresses in Throughflow Calculations." ASME. J. Turbomach. July 2009; 131(3): 031019. https://doi.org/10.1115/1.2992514
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