Abstract

The paper describes the flow structures on the suction surface of a highly cambered low-pressure turbine (LPT) blade (T106 profile) subjected to periodic convective wakes. A separation bubble on the rear half of the suction side of the blade was found to form under the operating condition due to the highly diffusive boundary layer. Interactions of migrating wakes with this separated boundary layer trigger rollup of the shear layer leading to transition and the appearance of coherent vortices. To characterize the dynamics of these large-scale structures, a proper orthogonal decomposition is pursued on both the fluctuating velocity and the vorticity fields generated by large-eddy simulations (LESs) of wake passing over the LPT blade for a Reynolds number Re=1.6×105. The first two modes clearly depict the rollup of the unstable shear layer and formation of large-scale vortex loops that contain a major fraction of the fluctuation energy. The present LES, at least in a qualitative sense, illustrates the large-scale motions in the outer layer and dynamics of vortical structures in a separated boundary layer excited by external perturbations.

References

1.
Hunt
,
J. C. R.
, and
Durbin
,
P. A.
, 1999, “
Perturbed Vortical Layers and Shear Sheltering
,”
Fluid Dyn. Res.
0169-5983,
24
, pp.
375
404
.
2.
Halstead
,
D. E.
,
Wisler
,
D. C.
,
Okiishi
,
T. H.
,
Walker
,
G. J.
,
Hodson
,
H. P.
, and
Shin
,
H.-W.
, 1997, “
Boundary Layer Development in Axial Compressors and Turbines—Part 1 of 4: Composite Picture; Part 2 of 4: Compressors; Part 3 of 4: LP Turbines; Part 4 of 4: Computations and Analyses
,”
ASME J. Turbomach.
0889-504X,
119
, pp.
114
127
,
Halstead
,
D. E.
,
Wisler
,
D. C.
,
Okiishi
,
T. H.
,
Walker
,
G. J.
,
Hodson
,
H. P.
, and
Shin
,
H.-W.
,
ASME J. Turbomach.
0889-504X
119
, pp.
426
444
,
Halstead
,
D. E.
,
Wisler
,
D. C.
,
Okiishi
,
T. H.
,
Walker
,
G. J.
,
Hodson
,
H. P.
, and
Shin
,
H.-W.
,
ASME J. Turbomach.
0889-504X
119
, pp.
225
237
,
Halstead
,
D. E.
,
Wisler
,
D. C.
,
Okiishi
,
T. H.
,
Walker
,
G. J.
,
Hodson
,
H. P.
, and
Shin
,
H.-W.
,
ASME J. Turbomach.
0889-504X
119
pp.
128
139
.
3.
Walker
,
G. J.
, 1993, “
The Role of Laminar Turbulent Transition in Gas Turbine Engines: A Discussion
,”
ASME J. Turbomach.
0889-504X,
115
, pp.
207
217
.
4.
Mayle
,
R. E.
, 1991, “
The Role of Laminar Turbulent Transition in Gas Turbine Engines
,”
ASME J. Turbomach.
0889-504X,
113
, pp.
509
537
.
5.
Wu
,
X.
,
Jacobs
,
R. G.
,
Hunt
,
J. R. C.
, and
Durbin
,
P. A.
, 1999, “
Simulation of Boundary Layer Transition Induced by Periodically Passing Wakes
,”
J. Fluid Mech.
0022-1120,
398
, pp.
109
153
.
6.
Schulte
,
V.
, and
Hodson
,
H. P.
, 1998, “
Unsteady Wake-Induced Boundary Layer Transition in High Lift LP Turbine
,”
ASME J. Turbomach.
0889-504X,
120
, pp.
28
35
.
7.
Wu
,
X.
, and
Durbin
,
P. A.
, 2001, “
Evidence of Longitudinal Vortices Evolved from Distorted Wakes in Turbine Passage
,”
J. Fluid Mech.
0022-1120,
446
, pp.
199
228
.
8.
Stieger
,
R.
,
Hollis
,
D.
, and
Hodson
,
H.
, 2003, “
Unsteady Surface Pressures Due to Wake Induced Transition in Laminar Separation Bubble on a LP Turbine Cascade
,” ASME Paper No. GT2003–38303.
9.
Sarkar
,
S.
, and
Voke
,
P. R.
, 2006, “
Large-Eddy Simulation of Unsteady Surface Pressure Over a LP Turbine Due to Interactions of Passing Wakes and Inflexional Boundary Layer
,”
ASME J. Turbomach.
0889-504X,
128
, pp.
221
231
.
10.
Wissink
,
J. G.
,
Rodi
,
W.
, and
Hodson
,
H.
, 2006, “
Influence of Disturbances Carried by Periodically Incoming Wakes on the Separating Flow Around a Turbine Blade
,”
Int. J. Heat Fluid Flow
0142-727X,
27
, pp.
721
729
.
11.
Malkiel
,
E.
, and
Mayle
,
R. E.
, 1996, “
Transition in a Separation Bubble
,”
ASME J. Turbomach.
0889-504X
118
, pp.
752
759
. ,
12.
Alam
,
M.
, and
Sandham
,
N. D.
, 2000, “
Direct Numerical Simulation of Short Laminar Separation Bubbles With Turbulent Reattachment
,”
J. Fluid Mech.
0022-1120,
410
, pp.
1
28
.
13.
Yang
,
Z. Y.
, and
Voke
,
P. R.
, 2001, “
Large-Eddy Simulation of Boundary Layer Separation and Transition at a Change of Surface Curvature
,”
J. Fluid Mech.
0022-1120,
439
, pp.
305
333
.
14.
Hatman
,
A.
, and
Wang
,
T.
, 1998, “
Separated-Flow Transition, Part 1—Experimental Methodology, Part 2—Experimental Results, Part 3—Primary Modes and Vortex Dynamics
,” ASME Paper Nos. 98-GT-461, 98-GT-462, and 98-GT-463.
15.
Hatman
,
A.
, and
Wang
,
T.
, 1999, “
A Prediction Model for Separated-Flow Transition
,”
ASME J. Turbomach.
0889-504X,
121
, pp.
594
602
.
16.
D’Ovidio
,
A.
,
Harkins
,
J. A.
, and
Gostelow
,
J. P.
, 2001, “
Turbulent Spot in Strong Adverse Pressure Gradient: Part 1—Spot Behaviour
,” ASME Paper No. 2001-GT-0194.
17.
D’Ovidio
,
A.
,
Harkins
,
J. A.
, and
Gostelow
,
J. P.
, 2001, “
Turbulent Spot in Strong Adverse Pressure Gradient: Part 2—Spot Propagation and Spreading Rates
,” ASME Paper No. 2001-GT-0407.
18.
Watmuff
,
J. H.
, 1999, “
Evolution of a Wave Packet Into Vortex Loops in a Laminar Separation Bubble
,”
J. Fluid Mech.
0022-1120,
397
, pp.
119
169
.
19.
Wissink
,
J. G.
, 2003, “
DNS of Separating, Low Reynolds Number Flow in a Turbine Cascade With Incoming Wakes
,”
Int. J. Heat Fluid Flow
0142-727X,
24
, pp.
626
635
.
20.
Sarkar
,
S.
, 2007, “
The Effects of Passing Wakes on a Separating Boundary Layer Along a Low-Pressure Turbine Blade Through Large-Eddy Simulation
,”
Proc. Inst. Mech. Eng., Part A
0957-6509,
221
, pp.
551
564
.
21.
Lumley
,
J. L.
, 1967, “
The Structure of Inhomogeneous Turbulent Flows
,”
Atmospheric Turbulence and Wave Propagation
,
Nauka
,
Moscow
.
22.
Aubry
,
N.
,
Holmes
,
P.
,
Lumley
,
J. L.
, and
Stone
,
E.
, 1988, “
The Dynamics of Coherent Structures in the Wall Region of a Turbulent Boundary Layer
,”
J. Fluid Mech.
0022-1120,
192
, pp.
115
173
.
23.
Rempfer
,
D.
, 1996, “
Investigations of Boundary Layer Transition Via Galerkin Projections on Empirical Eigenfunctions
,”
Phys. Fluids
1070-6631,
8
, pp.
175
188
.
24.
Payne
,
F. R.
, and
Lumley
,
J. L.
, 1967, “
Large Eddy Structure of the Turbulent Wake Behind a Circular Cylinder
,”
Phys. Fluids
0031-9171,
10
, pp.
194
196
.
25.
Delville
,
J.
,
Ukeiley
,
L.
,
Cordier
,
L.
,
Bonnet
,
J. P.
, and
Glauser
,
M.
, 1999, “
Examination of Large-Scale Structures in a Turbulent Plane Mixing Layer. Part 1. Proper Orthogonal Decomposition
,”
J. Fluid Mech.
0022-1120,
391
, pp.
91
122
.
26.
Rajaee
,
M.
,
Karlsson
,
S. K. F.
, and
Sirovich
,
L.
, 1994, “
Low-Dimensional: Description of Free Shear Flow Coherent Structures and Their Dynamical Behaviour
,”
J. Fluid Mech.
0022-1120,
258
, pp.
1
29
.
27.
Gordeyev
,
S.
, and
Thomas
,
F.
, 2000, “
Coherent Structure in the Turbulent Planar Jet. Part 1. Extraction of Proper Orthogonal Decomposition Eigenmodes and Their Self-Similarity
,”
J. Fluid Mech.
0022-1120,
414
, pp.
145
194
.
28.
Citriniti
,
J.
, and
George
,
W.
, 2000, “
Reconstruction of the Global Velocity Field in the Axisymmetric Mixing Layer Utilizing the Proper Orthogonal Decomposition
,”
J. Fluid Mech.
0022-1120,
418
, pp.
137
166
.
29.
Gordeyev
,
S.
, and
Thomas
,
F.
, 2002, “
Coherent Structure in the Turbulent Planar Jet. Part 2. Structural Topology Via POD Eigenmode Projection
,”
J. Fluid Mech.
0022-1120,
160
, pp.
349
380
.
30.
Moin
,
P.
, and
Moser
,
R. D.
, 1989, “
Characteristic Eddy Decomposition of Turbulence in a Channel
,”
J. Fluid Mech.
0022-1120,
200
, pp.
471
509
.
31.
Ball
,
K. S.
,
Sirovich
,
L.
, and
Keefe
,
L. R.
, 1991, “
Dynamical Eigenfunction Decomposition of Turbulent Channel Flow
,”
Int. J. Numer. Methods Fluids
0271-2091,
12
, pp.
585
604
.
32.
Stadtmüller
,
P.
, 2001, “
Investigation of Wake-Induced Transition on the LP Turbine Cascade T106 A-EIZ
,”
DFG-Verbundproject Fo 136/11, Version 1.0
,
University of the Armed Forces Munich
, Germany.
33.
Yang
,
Z.
, and
Voke
,
P. R.
, 2000, “
Large-Eddy Simulation of Separated Leading-Edge Flow in General Coordinate
,”
Int. J. Numer. Methods Eng.
0029-5981,
49
, pp.
681
696
.
34.
Kiya
,
M.
, and
Sasaki
,
K.
, 1985, “
Structure of Large-Scale Vortices and Unsteady Reverse Flow in the Reattaching Zone of a Turbulent Separation Bubble
,”
J. Fluid Mech.
0022-1120,
154
, pp.
463
491
.
35.
Chandrasekhar
,
S.
, 1961,
Hydrodynamic and Hydromagnetic Stability
,
Clarendon
,
Oxford
.
36.
Sirovich
,
L.
, 1987, “
Turbulence and the Dynamics of Coherent Structures Part-1: Coherent Structures
,”
Q. Appl. Math.
0033-569X,
14
(
3
), pp.
561
571
.
37.
Moreno
,
D.
,
Krothapalli
,
A.
,
Alkislar
,
M. B.
, and
Lourenco
,
L. M.
, 2004, “
Low-Dimensional Model of a Supersonic Rectangular Jet
,”
Phys. Rev. E
1063-651X,
69
, p.
026304
.
You do not currently have access to this content.