The development of high-performance turbine airfoils has been investigated under the condition of a supersonic exit Mach number. In order to obtain a new aerodynamic design concept for a high-loaded turbine rotor blade, we employed an evolutionary algorithm for numerical optimization. The target of the optimization method, which is called evolutionary strategy (ES), was the minimization of the total pressure loss and the deviation angle. The optimization process includes the representation of the airfoil geometry, the generation of the grid for a blade-to-blade computational fluid dynamics analysis, and a two-dimensional Navier-Stokes solver with a low-Re k-ε turbulence model in order to evaluate the performance. Some interesting aspects, for example, a double shock system, an early transition, and a redistribution of aerodynamic loading on blade surface, observed in the optimized airfoil, are discussed. The increased performance of the optimized blade has been confirmed by detailed experimental investigation, using conventional probes, hotfilms, and L2F system.

1.
Sieverding
,
C. H.
,
Stanislas
,
M.
, and
Snoek
,
J.
, 1983, “
The BASE Pressure Problem in Transonic Cascades
,” ASME Paper No. 83-GT-50.
2.
Graham
,
C. G.
, and
Kost
,
F. H.
, 1979, “
Shock Boundary Layer Interaction on High Turning Transonic Turbine Cascades
,” ASME Paper No. 79-GT-37.
3.
Stanewsky
,
E.
, 1973, “
Shock Boundary Layer Interaction in Transonic and Supersonic Flow
,”
Lecture Series 59
Transonic Flow in Turbo-machines
,
von Karman Institute
, Brussel.
4.
Dietrichs
,
H.-J.
,
Hourmouziadis
,
J.
,
Malzacher
,
F.
, and
Braeunling
,
W.
, 1987, “
Flow Phenomena in Transonic Turbine Cascades; Detailed Experimental and Numerical Investigation
,” ISABE 87-7031.
5.
Koeller
,
U.
,
Moenig
,
R.
,
Kuesters
,
B.
, and
Schreiber
,
H. A.
, 2000, “
Development of Advanced Compressor Airfoils for Heavy-Duty Gas Turbines, Part 1: Design and Optimization
,”
ASME J. Turbomach.
0889-504X,
122
, pp.
397
405
.
6.
Sonoda
,
T.
,
Yamaguchi
,
Y.
,
Arima
,
T.
,
Olhofer
,
M.
,
Sendhoff
,
B.
, and
Schreiber
,
H. A.
, 2004, “
Advanced High Turning Compressor Airfoils for Low Reynolds Number Condition, Part 1: Design and Optimization
,”
ASME J. Turbomach.
0889-504X,
126
(
3
), pp.
350
359
.
7.
Shelton
,
M. L.
,
Gregory
,
B. A.
,
Lamson
,
S. H.
,
Moses
,
H. L.
,
Doughty
,
R. L.
, and
Kiss
,
T.
, 1993, “
Optimization of a Transonic Turbine Airfoil using Artificial Intelligence, CFD and Cascade Testing
,” ASME Paper No. 93-GT-161.
8.
Michelassi
,
V.
,
Rodi
,
W.
, and
Giess
,
P.-A.
, 1997, “
Experimental and Numerical Investigation of Boundary-Layer and Wake Development in A Transonic Turbine Cascade
,” ASME Paper 97-GT-483.
9.
Jouini
,
D. B. M.
,
Sjolander
,
S. A.
, and
Moustapha
,
S. H.
, 2001, “
Midspan Flow-Field Measurements for Two Transonic Linear Turbine Cascades at Off-Design Conditions
,” ASME Paper No. 2001-GT-0493.
10.
Hansen
,
N.
, and
Ostermeier
,
A.
, 2001, “
Completely Derandomized Self-Adaptation in Evolution Strategies
,”
Evol. Comput.
1063-6560,
9
(
2
), pp.
159
196
.
11.
Chien
,
J. Y.
, 1982, “
Predictions of Channel and Boundary Layers With a Low-Reynolds-Number Two Equation Model of Turbulence
,”
AIAA J.
0001-1452,
20
, pp.
33
38
.
12.
Arima
,
T.
,
Sonoda
,
T.
,
Shirotori
,
M.
,
Tamura
,
A.
, and
Kikuchi
,
K.
, 1999, “
A Numerical Investigation of Transonic Axial Compressor Rotor Flow Using a Low-Reynolds-Number k-ε Turbulence Model
,”
ASME J. Turbomach.
0889-504X,
121
, pp.
44
58
.
13.
Amecke
,
J.
, and
Safarik
,
P.
, 1995, “
Data Reduction of Wake Flow Measurements with Injection of an Other Gas
,” Forschungsbericht DLR-FB 95-32, Cologne.
14.
Schodl
,
R.
, 1980, “
A Laser-Two-Focus (L2F) Velocimeter for Automatic Flow Vector Measurements in the Rotating Components of Turbomachines
,”
ASME J. Fluids Eng.
0098-2202,
102
, pp.
412
419
.
15.
Kost
,
F.
, and
Kapteijn
,
C.
, 1997, “
Application of Laser-Two-Focus Velocimetry to Transonic Turbine Flows
,”
Proceedings 7th International Conference on Laser Anemometry—Advances and Applications
, University of Karlsruhe, Karlsruhe, Germany, September 8–11.
16.
Horlock
,
J. H.
, 1966,
Axial Flow Turbines
,
Robert E. Krieger Publishing Company
, Malabar, FL.
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