The flow through a transonic compressor cascade shows a very complex structure due to the occurring shock waves. In addition, the interaction of these shock waves with the blade boundary layer inherently leads to a very unsteady flow behavior. The aim of the current investigation is to quantify this behavior and its influence on the cascade performance as well as to describe the occurring transonic flow phenomena in detail. Therefore, an extensive experimental investigation of the flow in a transonic compressor cascade has been conducted within the transonic cascade wind tunnel of DLR Institute of Propulsion Technology at Cologne. In this process, the flow phenomena were thoroughly examined for an inflow Mach number of 1.21. The experiments investigate both the laminar and the turbulent shock wave boundary layer interaction within the blade passage and the resulting unsteady behavior. The experiments show a fluctuation range of the passage shock wave of about 10% chord for both cases, which is directly linked with a change of the inflow angle and of the operating point of the cascade. Thereafter, Reynolds-averaged Navier–Stokes (RANS) simulations have been performed aiming at the verification of the reproducibility of the experimentally examined flow behavior. Here, it is observed that the dominant flow effects are not reproduced by a steady numerical simulation. Therefore, a further unsteady simulation has been carried out to capture the unsteady flow behavior. The results from this simulation show that the fluctuation of the passage shock wave can be reproduced but not in the correct magnitude. This leads to a remaining weak point within the design process of transonic compressor blades because the working range will be overpredicted. The resulting conclusion of this study is that the use of scale-resolving methods such as LES or the application of DNS is necessary to correctly predict unsteadiness of the transonic cascade flow and its impact on the cascade performance.

References

1.
Ferri
,
A.
,
1938
, “
Untersuchungen und Versuche im Überschallwindkanal zu Guidonia
,”
Jahrbuch 1938 der deutschen Luftfahrtforschung
, pp.
112
138
.
2.
Fage
,
A.
, and
Sargent
,
R. F.
,
1947
, “
Shock Wave and Boundary Layer Phenomena Near a Flat Surface
,”
Proc. R. Soc. London, A.
,
190
, pp.
1
20
.
3.
Green
,
J. E.
,
1970
, “
Interactions Between Shock Waves and Turbulent Boundary Layers
,”
Progress Aerosp. Sci.
,
11
, pp.
235
340
.
4.
Liepmann
,
H. W.
,
1946
, “
The Interaction Between Boundary Layer and Shock Waves in Transonic Flow
,”
J. Aerosp. Sci.
,
13
(
12
), pp.
623
638
.
5.
Mundell
,
A. R. G.
, and
Madey
,
D. G.
,
1986
, “
Pressure Fluctuations Caused by Transonic Shock/Boundary-Layer Interaction
,”
Aeronaut. J.
,
90
, pp.
274
281
.
6.
Lee
,
B. H. K.
,
1989
, “
Investigation of Flow Separation on a Supercritical Airfoil
,”
J. Aircr.
,
26
(
11
), pp.
1032
1037
.
7.
Epstein
,
A. H.
,
Kerrebock
,
J. L.
, and
Thomkins
,
W. T.
,
1979
, “
Shock Structure in Transsonic Compressor Rotors
,”
AIAA J.
,
17
, pp.
375
379
.
8.
Hilton
,
W. F.
, and
Fowler
,
R. G.
,
1947
, “
Photographs of Shock Wave Movement
,”
Aeronautical Research Council, Great Britain, Reports and Memoranda 2692
.
9.
Dolling
,
D. S.
,
2001
, “
Fifty Years of Shock-Wave/Boundary-Layer Interaction Research: What Next
?”
AIAA J.
,
39
(
8
), pp.
1517
1531
.
10.
Beresh
,
S. J.
,
Clemens
,
N. T.
,
Dolling
,
D. S.
, and
Comninos
,
M.
,
1997
, “
Investigation of the Causes of Large-Scale Unsteadiness of Shock-Induced Separated Flow Using Planar Laser Imaging
,”
35th AIAA Aerospace Sciences Meeting and Exhibit
,
Reno, NV
,
AIAA
Paper No. 97-0064.
11.
Beresh
,
S. J.
,
Clemens
,
N. T.
, and
Dolling
,
D. S.
,
1999
, “
The Relationship Between Upstream Turbulent Boundary Layer Velocity Fluctuations and Separation Shock Unsteadiness
,”
37th AIAA Aerospace Sciences Meeting and Exhibit
,
Reno, NV
,
AIAA
Paper No. 99-0295.
12.
Roos
,
F. W.
,
1975
, “
Surface Pressure and Wake Flow Fluctuations in a Supercritical Airfoil Flowfield
,”
13th Aerospace Sciences Meeting
,
Pasadena, CA
,
AIAA
Paper No. 75-66.
13.
Thomas
,
F. O.
,
Putnam
,
C. M.
, and
Chu
,
H. C.
,
1995
, “
On the Mechanism of Unsteady ShockWave/Turbulent Boundary Layer Interactions
,”
Exp. Fluids
,
18
(
1/2
), pp.
69
81
.
14.
Dussauge
,
J.-P.
,
Dupont
,
P.
, and
Debieve
,
J.-F.
,
2006
, “
Unsteadiness in Shock Wave Boundary Layer Interactions with Separation
,”
J. Aerosp. Sci. Technol.
,
10
, pp.
85
91
.
15.
Dussauge
,
J.-P.
, and
Piponniau
,
S.
,
2008
, “
Shock/Boundary-Layer Interactions: Possible Sources of Unsteadiness
,”
J. Fluids Struct.
,
24
, pp.
1166
1175
.
16.
Hartmann
,
A.
,
Klaas
,
M.
, and
Schröder
,
W.
,
2012
, “
Time-Resolved Stereo PIV Measurements of Shock-Boundary Layer Interaction on a Supercritical Airfoil
,”
Exp. Fluids
,
52
(
3
), pp.
591
604
.
17.
Hergt
,
A.
,
Klinner
,
J.
,
Steinert
,
W.
,
Grund
,
S.
,
Beversdorff
,
M.
,
Giebmanns
,
A.
, and
Schnell
,
R.
,
2015
, “
The Effect of an Eroded Leading Edge on the Aerodynamic Performance of a Transonic Fan Blade Cascade
,”
ASME J. Turbomach.
,
137
, p.
021006
.
18.
Strazisar
,
A. J.
,
1984
, “
Investigation of Flow Phenomena in a Transonic Fan Rotor Using Laser Anemometry
,”
Twenty-Ninth Annual International Gas Turbine Conference
,
Amsterdam, Netherlands
,
ASME
Paper No. 84-GT-199.
19.
Schreiber
,
H. A.
,
Starken
,
H.
, and
Steinert
,
W.
,
1993
, “
Transonic and Supersonic Cascades
,”
AGARDOgraph—Advanced Methods for Cascade Testing, AGARD AG
328
, pp.
35
59
.
20.
Steinert
,
W.
,
Fuchs
,
R.
, and
Starken
,
H.
,
1992
, “
Inlet Flow Angle Determination of Transonic Compressor Cascade
,”
ASME J. Turbomach.
,
114
(
3
), pp.
487
493
.
21.
Kiock
,
R.
,
Laskowski
,
G.
, and
Hoheisel
,
H.
,
1982
, “
Die Erzeugung höherer Turbulenzgrade in der Meßstrecke des Hochgeschwindigkeits-Gitterwindkanals, Braunschweig, zur Simulation turbomaschinenähnlicher Bedingungen
,”
DLR Forschungsbericht (FB82-25)
.
22.
Schimming
,
P.
,
1976
, “
Experimental Investigation of Supersonic Inflow of Compressor Cascade by the Laser-2-Focus Method
,”
Symposium of Measuring Techniques in Transonic and Supersonic Cascade Flow, Ecole Polytechnique Federale de Lausanne
,
Lausanne, Switzerland
.
23.
Schodl
,
R.
,
1980
, “
A Laser-Two-Focus (L2F) Velocimeter for Automatic Flow Vevtor Measurements in the Rotating Components of Turbomachines
,”
ASME J. Fluids Eng.
,
102
(
4
), pp.
412
419
.
24.
Schodl
,
R.
,
1989
, “
Laser Two Focus Techniques
,”
VKI Lecture Series 1989-05 Measurement Techniques in Aerodyanmics
, Von Karman Institute for Fluid Dynamics, Sint-Genesius-Rode (near Brussels),
Belgium
.
25.
Klinner
,
J.
,
Hergt
,
A.
,
Beversdorff
,
M.
, and
Willert
,
C.
,
2012
, “
Visualization and PIV Measurements of the Transonic Flow Around the Leading Edge of an Eroded Fan Airfoil
,”
16th International Symposium on Applications of Laser Techniques to Fluid Mechanics
,
Lisbon, Portugal
.
26.
Klinner
,
J.
,
Hergt
,
A.
, and
Willert
,
C.
,
2014
, “
Experimental Investigation of the Transonic Flow Around the Leading Edge of an Eroded Fan Airfoil
,”
Exp. Fluids
,
55
(
9
), p.
1800
.
27.
Mee
,
D. J.
,
Walton
,
T. W.
,
Harrison
,
S. B.
, and
Jones
,
T.
,
1991
, “
A Comparison of Liquid Crystal Techniques for Tranition Detection
,”
29th Aerospace Science Meeting
,
Reno, Nevada
, Paper No. AIAA-91-0062.
28.
Steinert
,
W.
, and
Starken
,
H.
,
1996
, “
Off-Design Transition and Separation Behavior of a CDA Cascade
,”
ASME J. Turbomach.
,
118
(
2
), pp.
204
210
.
29.
Schreiber
,
H. A.
,
1976
,
Comparison Between Flows in Cascades and Rotors in the Transonic Range (Lecture Series in Transonic Blade-to-Blade Flows in Axial Turbomachinery)
,
von Karman Institute for Fluid Dynamics
,
Belgium
.
30.
Schreiber
,
H. A.
, and
Starken
,
H.
,
1981
, “
On the Definition of the Axial Velocity Density Ratio in Theoretical and Experimental Cascade Investigation
,”
Symposium on Measuring Techniques in Transonic and Supersonic Flow in Cascades and Turbomachines
,
Lyon, France
.
31.
Raffel
,
M.
,
Willert
,
C.
,
Scarano
,
F.
,
Kähler
,
C.
,
Wereley
,
S.
, and
Kompenhans
,
J.
,
2017
,
Particle Image Velocimetry (Experimental Fluid Mechanics)
,
Springer International Publishing AG
,
Basel. Switzerland
.
32.
Ragni
,
D.
,
Schrijer
,
F.
,
van Oudheusden
,
B.
, and
Scarano
,
F.
,
2011
, “
Particle Tracer Response Across Shocks Measured by PIV
,”
Exp. Fluids
,
50
(
1
), pp.
53
64
.
33.
Fitzgerald
,
E. J.
, and
Mueller
,
T. J.
,
1990
, “
Measurements in a Separation Bubble on an Airfoil Using Laser Velocimetry
,”
AIAA J.
,
28
(
4
), pp.
584
592
.
34.
Willert
,
C.
,
Mitchell
,
D.
, and
Soria
,
J.
,
2012
, “
An Assessment of High-Power Light-Emitting Diodes for High Frame Rate Schlieren Imaging
,”
Exp. Fluids
,
53
, pp.
413
421
.
35.
Welch
,
P.
,
1967
, “
The Use of Fast Fourier Transform for the Estimation of Power Spectra: A Method Based on Time Averaging Over Short, Modified Periodograms
,”
IEEE Trans. Audio Electroacoustics
,
15
(
2
), pp.
70
73
.
36.
Schreiber
,
H. A.
,
Steinert
,
W.
, and
Kuesters
,
B.
,
2002
, “
Effects of Reynolds Numbers and Free-Stream Turbulence on Boundary Layer Transition in a Compressor Cascade
,”
ASME J. Turbomach.
,
124
(
1
), pp.
1
9
.
37.
Schreiber
,
H. A.
,
1986
, “
Experimental Investigation on Shock Losses of Transonic and Supersonic Compressor Cascades
,”
AGARD Conference Proceedings for Transonic and Supersonic Phenomena in Turbomachines, AGARD
,
Munich, Germany
, pp.
11-1
11-15
, Paper No. AGARD-CP-401.
38.
Merzkirch
,
W.
,
1971
, “
Der Ablösestoss bei der Expansion einer Überschall Grenzschicht
,”
Zeitschrift für Flugwissenschaften
, 19. Jahrgang, Heft 1, pp.
1
12
.
39.
Babinsky
,
H.
, and
Harvey
,
J. K.
, eds.,
2011
,
Shock Wave-Boundary-Layer Interactions
,
Cambridge University Press
,
Cambridge, UK
.
40.
Becker
,
K.
,
Heitkamp
,
K.
, and
Kügeler
,
E.
,
2010
, “
Recent Progress in a Hybrid-Grid CFD Solver for Turbomachinery Flows
,”
Fifth European Conference on Computational Fluid Dynamics, ECOMAS CFD 2010
,
Lisbon, Portugal
, Paper No. CFD-2010-01609.
41.
Menter
,
F.
,
Kuntz
,
M.
, and
Langtry
,
R.
,
2003
, “Ten Years of Industrial Experience With the SST Turbulence Model,”
Turbulence, Heat and Mass Transfer 4
,
K.
Hanjalić
,
Y.
Nagano
, and
M.
Tummers
, eds.
42.
Langtry
,
R.
, and
Menter
,
F.
,
2009
, “
Correlation-Based Transition Modeling for Unstructured Parallelized Computational Fluid Dynamics Codes
,”
AIAA J.
,
47
(
12
), pp.
2894
2906
.
43.
Lu
,
Y.
, and
Dawes
,
W. N.
,
2015
, “
High Order Large Eddy Simulations for a Transonic Turbine Blade Using Hybrid Unstructured Meshes
,”
Proceedings of ASME Turbo Expo 2015: Turbine Technical Conference and Exposition
,
56659
, p.
V02CT44A005
,
ASME
Paper No. GT2015-42283.
44.
Gou
,
J.
,
Su
,
X.
, and
Yuan
,
X.
,
2016
, “
Adaptive Mesh Refinement for DDES Simulation on Transonic Compressor Cascade With Unstructured Mesh
,”
Proceedings of ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition
,
49712
, p.
V02CT39A034
,
ASME
Paper No. GT2016-56925.
45.
Pirozzoli
,
S.
,
2011
, “
Numerical Methods for High-Speed Flows
,”
Annu. Rev. Fluid Mech.
,
43
(
1
), pp.
163
194
.
46.
Bernardini
,
M.
,
Pirozzoli
,
S.
, and
Grasso
,
F.
,
2010
, “
Analysis of Unsteadiness in Transonic Shock/Boundary Interactions
,”
Proceedings Fifth European Conference on Computational Fluid Dynamics, ECCOMAS CFD
,
Lisbon, Portugal
,
June 14–17
.
47.
Lele
,
S. K.
, and
Larsson
,
J.
,
2009
, “
Shock-Turbulence Interaction: What We Know and What We Can Learn From Peta-Scale Simulations
,”
J. Phys. Conf. Ser.
,
180
(
1
), p.
012032
.
48.
John
,
A.
,
Shahpar
,
S.
, and
Qin
,
N.
,
2016
, “
Alleviation of Shock-Wave Effects on a Highly Loaded Axial Compressor Though Novel Blade Shaping
,”
ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition
,
Seoul, South Korea
,
ASME
Paper No. GT2016-57550.
You do not currently have access to this content.