Abstract

Rotor wakes are an important source of loss in axial compressors. The decay rate of a rotor wake is largely due to both mixing (results in loss) and stretching (no loss accrual). Thus, the actual loss associated with rotor wake decay will vary in proportion to the amounts of mixing and stretching involved. This wake stretching process, referred to by Smith (1996) as recovery, is reversible and for a 2-D rotor wake leads to an inviscid reduction of the velocity deficit of the wake. It will be shown that for the rotor/stator spacing typical of core compressors, wake stretching is the dominant wake decay process within the stator with viscous mixing playing only a secondary role. A model for the rotor wake decay process is developed and used to quantify the viscous dissipation effects relative to those of inviscid wake stretching. The model is verified using laser anemometer measurements acquired in the wake of a transonic rotor operated alone and in a stage configuration at near peak efficiency and near stall operating conditions. Results from the wake decay model exhibit good agreement with the experimental data. Data from the model and laser anemometer measurements indicate that rotor wake straining (stretching) is the primary decay process in the stator passage. Some implications of these results on compressor stage design are discussed.

1.
Kerrebrock, J. L., and Mikolajczak, A. A., 1970, “Intra-Stator Transport of Rotor Wakes and Its Effect on Compressor Performance,” ASME J. Eng. Power, pp. 359–368.
2.
Tweedt
,
D. L.
,
Hathaway
,
M. D.
, and
Okiishi
,
T. H.
,
1985
, “
Multistage Compressor Stator/Rotor Interaction
,”
J Propul
,
1
, No. 6, Nov-Dec., pp.
449
455
.
3.
Smith, L. H., Jr., 1966, “Wake Dispersion in Turbomachines,” J. Basic Eng., pp. 688–690.
4.
Smith
,
L. H.
, Jr.
,
1993
, “
Wake Ingestion Propulsion Benefit
,”
J. Propul. Power
,
9
, No. 1, Jan.-Feb., pp.
74
82
.
5.
Smith, L. H., Jr., 1970, “Casing Boundary Layers in Multistage Axial-Flow Compressors,” Flow Research in Blading, edited by L. S. Dzung, Elsevier Publishing Company, Amsterdam, 1970.
6.
Adamczyk, J. J., 1996, “Wake Mixing in Axial Flow Compressors,” ASME Paper No. 96-GT-029.
7.
Deregel, P., and Tan, C. S., 1996, “Impact of Rotor Wakes on Steady-State Axial Compressor Performance,” ASME Paper No. 96-GT-253.
8.
Valkov, T. V., 1997, “The Effect of Upstream Vortical Disturbances on the Time-Average Performance of Axial Compressor Stators,” Ph.D. dissertation, Massachusetts Institute of Technology.
9.
Ding, K., 1982, “Flow Measurements Using a Laser-Two-Focus Anemometer in a High-Speed Centrifugal and a Multistage Axial Compressor,” presented at ASME Winter Annual Meeting, Phoenix, AZ, Nov.
10.
Stauter
,
R. C.
,
Dring
,
R. P.
, and
Carta
,
F. O.
,
1991
, “
Temporally and Spatially Resolved Flow in a Two-Stage Axial Compressor: Part I—Experiment
,”
ASME J. Turbomach.
,
113
, pp.
212
226
.
11.
Dunker, R. J., 1983, “Flow Measurements in the Stator Row of a Single-Stage Transonic Axial-Flow Compressor with Controlled Diffusion Stator Blades,” AGARD CP-351, Viscous Effects in Turbomachines.
12.
Williams
,
M. C.
,
1988
, “
Inter and Intrablade Row Laser Velocimetry Studies of Gas Turbine Compressor Flows
,”
ASME J. Turbomach.
,
110
, pp.
369
376
.
13.
Hathaway, M. D., 1986, “Unsteady Flows in a Single-Stage Transonic Axial-Flow Fan Stator Row,” NASA TM 88929, Dec., also, see ASME 87-GT-226 and 87-GT-227.
14.
Hill, P. G., Schaub, U. W., and Senoo, Y., 1963, “Turbulent Wakes in Pressure Gradients,” ASME J. Appl. Mech., pp. 518–524.
15.
van de Wall
,
Allan, G.
,
Jaikrishnan
,
R.
, and
Adamczyk
,
J. J.
,
2000
, “
A Transport Model for the Deterministic Stresses Associated With Turbomachinery Blade Row Interactions
,”
ASME J. Turbomach.
,
122
, pp.
593
603
.
16.
Nakayama
,
A.
,
1987
, “
Curvature and Pressure-Gradient Effects on a Small Defect Wake
,”
J. Fluid Mech.
,
175
, pp.
215
246
.
17.
Reid, L., and Moore, R. D., “Design and Overall Performance of Four Highly Loaded, High-Speed Inlet Stages for an Advanced High-Pressure-Ratio Core Compressor,” NASA TP 1337, October 1978.
18.
Adamczyk, J. J., 1985, “Model Equation for Simulating Flows in Multistage Turbomachinery,” ASME Paper No. 85-GT-226.
19.
Reid, L., and Moore, R. D., “Performance of Single-Stage Axial-Flow Transonic Compressor With Rotor and Stator Aspect Ratios of 1.19 and 1.26, Respectively, and with Design Pressure Ratio of 1.82,” NASA TP 1338, November 1978.
20.
Strazisar, A. J., Wood, J. R., Hathaway, M. D., and Suder, K., L., 1989, “Laser Anemometer Measurements in a Transonic Axial-Flow Fan Rotor,” NASA TP 2879.
21.
Smith, L. H., Jr., 1996, “Discussion of ASME Paper No. 96-GT-029: Wake Mixing in Axial Flow Compressors,” ASME Turbo Expo, Birmingham, England, June 10–13.
22.
Van Zante, D. E., 1997, “Study of a Wake Recovery Mechanism in a High-Speed Axial Compressor Stage,” Ph.D. dissertation, Iowa State University.
23.
Chen, J. P., Celestina, M. L., and Adamczyk, J. J., 1994, “A New Procedure for Simulating Unsteady Flows Through Turbomachinery Blade Passages,” ASME Paper No. 94-GT-151.
24.
Sherman, F. S., 1990, Viscous Flow, McGraw-Hill Publishing Company, New York, NY.
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