Two-dimensional unsteady Navier–Stokes calculations of a transonic single-stage high-pressure turbine were carried out with emphasis on the flow field behind the rotor. Detailed validation of the numerical procedure with experimental data showed excellent agreement in both time-averaged and time-resolved flow quantities. The numerical timestep as well as the grid resolution allowed the prediction of the Ka´rma´n vortex streets of both stator and rotor. Therefore, the influence of the vorticity shed from the stator on the vortex street of the rotor is detectable. It was found that certain vortices in the rotor wake are enhanced while others are diminished by passing stator wake segments. A schematic of this process is presented. In the relative frame of reference, the rotor is operating in a transonic flow field with shocks at the suction side trailing edge. These shocks interact with both rotor and stator wakes. It was found that a shock modulation occurs in time and space due to the stator wake passing. In the absolute frame of reference behind the rotor, a 50-percent variation in shock strength is observed according to the circumferential or clocking position. Furthermore, a substantial weakening of the rotor suction side trailing edge shock in flow direction is detected in an unsteady flow simulation when compared to a steady-state calculation, which is caused by convection of upstream stator wake segments. The physics of the aforementioned unsteady phenomena as well as their influence on design are discussed.

1.
Wisler, D. C., 1998, “The Technical and Economic Relevance of Understanding Blade Row Interaction Effects in Turbomachinery,” Von Ka´rma´n Institute for Fluid Dynamics, Lecture Series 1998-02 on Blade Row Interference Effects in Axial Turbomachinery Stages.
2.
Ahmad, F., and Mirzamoghadam, A. V., 1999, “Single vs. Two-Stage High-Pressure Turbine Design of Modern Aero Engines,” ASME Paper No. 99-GT-1.
3.
Tiedemann, M., and Kost, F., 1999, “Unsteady Boundary Layer Transition on a High Pressure Turbine Rotor Blade,” ASME Paper No. 99-GT-194.
4.
Doorly
,
D. J.
, and
Oldfield
,
M. L. G.
,
1985
, “
Simulation of the Effects of Shock Wave Passing on a Turbine Rotor Blade
,”
ASME J. Eng. Gas Turbines Power
,
107
, pp.
998
1006
.
5.
Jennions
,
I. K.
, and
Adamczyk
,
J. J.
,
1997
, “
Evaluation of the Interaction Losses in a Transonic Turbine HP Rotor/LP Vane Configuration
,”
ASME J. Turbomach.
,
119
, pp.
68
76
.
6.
Kost, F., Hummel, F., and Tiedemann, M., 2000, “Investigation of the Unsteady Rotor Flow Field in a Single HP Turbine Stage,” ASME Paper No. 2000-GT-432.
7.
Eulitz, F., Engel, K., and Gebing, H., 1986, “Application of a One-Equation Eddy-Viscosity Model to Unsteady Turbomachinery Flow,” Engineering Turbulence Modelling and Experiments 3, W. Rodi and G. Bergeles, eds., Elsevier Science B.V.
8.
Eulitz, F., Engel, K., and Gebing, H., 1996, “Numerical Investigation of the Clocking Effects in a Multistage Turbine,” ASME Paper No. 96-GT-26.
9.
Eulitz, F., and Engel, K., 1998, “Numerical Investigation of Wake Interaction in a Low Pressure Turbine,” ASME Paper No. 98-GT-563.
10.
Acton, E., and Cargill, M., 1988, “Non-Reflecting Boundary Conditions for Computations of Unsteady Turbomachinery Flow,” Proc. 4th Int. Symp. on Unsteady Aerodynamics and Aeroelasticity of Turbomachines and Propellers, pp. 211–228.
11.
Giles, M. B., 1988, “Non-Reflecting Boundary Conditions for the Euler Equations,” Technical Report CFDL-TR-88-1.
12.
Kapteijn
,
C.
,
Amecke
,
J.
, and
Michelassi
,
V.
,
1996
, “
Aerodynamic Performance of a Transonic Turbine Guide Vane with Trailing Edge Coolant Ejection: Part I—Experimental Approach
,”
ASME J. Turbomach.
,
118
, pp.
519
528
.
13.
Tiedemann
,
M.
, and
Kost
,
F.
,
2001
, “
Some Aspects of Wake–Wake Interactions Regarding Turbine Stator Clocking
,”
ASME J. Turbomach.
,
123
, pp.
526
533
.
14.
Sondak
,
D. L.
, and
Dorney
,
D. J.
,
1999
, “
Simulation of Vortex Shedding in a Turbine Stage
,”
ASME J. Turbomach.
,
121
, pp.
428
435
.
15.
Heinemann, H.-J., and Bu¨tefisch, K. A., 1977, “Determination of the Vortex Shedding Frequency of Cascades With Different Trailing Edge Thicknesses,” AGARD–CP-227.
16.
Eckert
,
E.
, and
Weise
,
W.
,
1942
, “
Messungen der Temperaturverteilung auf der Oberfla¨che schnell angestro¨mter unbeheizter Zylinder
,”
Forschg. Ing.-Wes.
,
13
,
No. 6
No. 6
.
17.
Liepmann, H. W., and Roshko, A., 1957, Elements of Gasdynamics, Galcit Aeronautical Series, Wiley, New York.
18.
Kurosaka
,
M.
,
Gertz
,
J. B.
,
Graham
,
L. E.
,
Goodman
,
J. R.
,
Sundaram
,
P.
,
Riner
,
W. C.
, and
Hankey
,
W. L.
,
1987
, “
Energy Separation in a Vortex Street
,”
J. Fluid Mech.
,
178
, pp.
1
29
.
19.
Carscallen
,
W. E.
,
Currie
,
T. C.
,
Hogg
,
S. I.
, and
Gostelow
,
J. P.
,
1999
, “
Measurement and Computation of Energy Separation in a Vortical Wake Flow of a Turbine Nozzle Cascade
,”
ASME J. Turbomach.
,
121
, pp.
703
708
.
20.
Hodson
,
H. P.
, and
Dawes
,
W. N.
,
1998
, “
On the Interpretation of Measured Profile Losses in Unsteady Wake–Turbine Blade Interaction Studies
,”
ASME J. Turbomach.
,
120
, pp.
276
284
.
21.
Nash, J. F., 1962, “A Review of Research on Two-Dimensional Base-Flow,” Reports and Memoranda of the Aeronautical Research Council, No. 3323, London.
22.
von Ka´rma´n, T., 1911, “U¨ber den Mechanismus des Widerstandes, den ein bewegter Ko¨rper in einer Flu¨ssigkeit erfa¨hrt,” Nachrichten der K. Gesellschaft der Wissenschaften zu Go¨ttingen. Mathematischphysikalische Klasse, Go¨ttingen, pp. 324–338.
You do not currently have access to this content.