The aim of this paper is to help advance our understanding of the complex, three-dimensional, unsteady flow associated with the interaction of a splittered centrifugal impeller and its vaned diffuser. A time-resolved simulation is presented of the Krain stage performed using a time-accurate, three-dimensional, unstructured mesh, solution-adaptive Navier–Stokes solver. The predicted flowfield, compared with experiment where available, displays a complex, unsteady interaction, especially in the neighborhood of the diffuser entry zone, which experiences large periodic flow unsteadiness. Downstream of the throat, although the magnitude of this unsteadiness diminishes rapidly, the flow has a highly distorted three-dimensional character. The loss levels in the diffuser are then investigated to try and determine how time-mean loss levels compare with the levels expected from “equivalent” steady flow analysis performed by using the circumferentially averaged exit flow from the impeller as inlet to the diffuser. It is concluded that little loss could be attributed directly to unsteady effects but rather that the principal cause of the rather high loss levels observed in the diffuser is the strong spanwise distortion in swirl angle at inlet, which initiates a strong hub/corner stall.

1.
Adamczyk, J. J., 1985, “Model Equation for Simulating Flows in Multistage Turbomachinery,” ASME Paper No. 85-GT-226.
2.
Dawes
W. N.
,
1992
, “
The Simulation of Three-Dimensional Viscous Flow in Turbomachinery Geometries Using a Solution-Adaptive Unstructured Mesh Methodology
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
114
, pp.
528
537
.
3.
Dawes
W. N.
,
1993
a, “
The Extension of a Solution-Adaptive Three-Dimensional Navier–Stokes Solver Toward Geometries of Arbitrary Complexity
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
115
, pp.
283
295
.
4.
Dawes, W. N., 1993b, “Simulating Unsteady Turbomachinery Flows on Unstructured Meshes Which Adapt Both in Time and Space,” ASME Paper No. 93-GT-104.
5.
Dean
R. C.
, and
Senoo
Y.
,
1960
, “
Rotating Wakes in Vaneless Diffusers
,”
ASME Journal of Basic Engineering
, Vol.
82
, pp.
563
570
.
6.
Giles
M. B.
,
1988
, “
Calculation of Unsteady Wake/Rotor Interaction
,”
AIAA J. of Propulsion and Power
, Vol.
4
, No.
4
, pp.
356
362
.
7.
Giles, M. B., 1990, “Stator/Rotor Interaction in a Transonic Turbine,” AIAA J. of Propulsion and Power, Vol. 5, No. 6.
8.
Holmes, D. G., and Connell, S. D., 1992, “Unstructured, Adaptive, Finite Volume Solution Methods for Fluid Dynamics,” presented at the 7th IMACS Conference on the Computer Simulation of pde’s, Rutgers, NJ, July.
9.
Hodson
H. P.
,
1985
, “
An Inviscid Blade-to-Blade Prediction of a Wake-Generated Unsteady Flow
,”
ASME Journal of Engineering for Gas Turbines and Power
, Vol.
107
, pp.
337
344
.
10.
Inoue, M., 1980, “Centrifugal Compressor Diffuser Studies,” PhD Dissertation, Cambridge University, United Kingdom.
11.
Jameson, A., and Baker, T. J., 1987, “Improvements to the Aircraft Euler Method,” AIAA Paper No. 87-0452.
12.
Johnston
J. P.
, and
Dean
R. C.
,
1966
, “
Losses in Vaneless Diffusers of Centrifugal Compressors and Pumps
,”
ASME Journal of Engineering for Power
, Vol.
88
, pp.
49
60
.
13.
Jorgensen, P., and Chima, R., 1989, “An Unconditionally Stable Runge-Kutta Method for Unsteady Flows,” AIAA Paper No. 89-0205.
14.
Kirtley
K. R.
, and
Beach
T. A.
,
1992
, “
Deterministic Blade Row Interactions in a Centrifugal Compressor Stage
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
114
, pp.
304
311
.
15.
Krain, H., 1981, “A Study on Centrifugal Impellor and Diffuser Flow,” ASME Journal of Engineering for Gas Turbines and Power, Vol. 103, Oct.
16.
Krain, H., 1984, “Experimental Observations of the Flow in Impellers and Diffusers,” VKI Lecture Series, 1984-07.
17.
Krain, H., and Hoffmann, W., 1989, “Verification of an Impeller Design by Laser Measurements and 3D Viscous Flow Calculations,” ASME Paper No. 89-GT-159.
18.
Krain, H., 1993, private communication.
19.
Lam, C. K. G., and Bremhorst, K. A., 1981, “Modified Form of the k-e Model for Predicting Wall Turbulence,” ASME Journal of Fluids Engineering, Vol. 103.
20.
Patel, V. C., Rodi, W., and Scheuerer, G., 1985, “Turbulence Models for Near-Wall Flows and Low Reynolds Numbers: a Review,” AIAA Journal, Vol. 23, No. 9.
21.
Rai, M. M., 1985, “Navier–Stokes Simulations of Rotor-Stator Interaction Using Patched and Overlaid Grids,” Paper No. AIAA-85-1519.
22.
Rao, K., and Delaney, R., 1990, “Investigations of Unsteady Flow Through Transonic Turbine Stage Part I: Analysis,” Paper No. AIAA-90-2408.
23.
Senoo
Y.
,
Kinoshita
Y.
, and
Ishida
M.
,
1977
, “
Asymmetric Flow in Vaneless Diffusers of Centrifugal Blowers
,”
ASME Journal of Fluids Engineering
, Vol.
99
, pp.
104
114
.
This content is only available via PDF.
You do not currently have access to this content.