This paper demonstrates similarities between the vortex shedding from blunt trailing-edge transonic turbine nozzle blades and from oscillating airfoils and bluff bodies. Under subsonic conditions the turbine nozzle cascade shed wake vortices in a conventional von Kármán vortex street. This was linked with a depressed base pressure and associated energy separation in the wake. Under transonic conditions a variety of different shedding configurations was observed with vortices shedding and pairing in several different ways. Similarities are addressed between the observed structures and those from vortex shedding in some other physical situations, such as the vortex wakes shed from cylinders and airfoils in sinusoidal heaving motion in low-speed flow. The established field of vortex-induced vibration has provided a developed classification scheme for the phenomena observed. The paper has brought together three previously independent fields of investigation and, by showing that the three are essentially related, has provided the basis for a new synthesis.

1.
Williamson
,
C. H. K.
, and
Roshko
,
A.
, 1988, “
Vortex Formation in the Wake of an Oscillating Cylinder
,”
J. Fluids Struct.
0889-9746,
2
, pp.
355
381
.
2.
Lai
,
J. C. S.
, and
Platzer
,
M. F.
, 1999, “
Jet Characteristics of a Plunging Airfoil
,”
AIAA J.
0001-1452,
37
(
12
), pp.
1529
1537
.
3.
Shyy
,
W.
,
Berg
,
M.
, and
Ljungqvist
,
D.
, 1999, “
Flapping and Flexible Wings for Biological and Micro Air Vehicles
,”
Prog. Aerosp. Sci.
0376-0421,
35
, pp.
455
505
.
4.
Carscallen
,
W. E.
, and
Gostelow
,
J. P.
, 1994, “
Observations of Vortex Shedding in the Wake From Transonic Turbine Nozzle Vanes
,”
Proc. ISROMAC-5
, Kaanapali, HI, pp.
153
169
.
5.
Lawaczek
,
O.
, and
Heinemann
,
H-J.
, 1975, “
Von Kármán Vortex Streets in the Wakes of Subsonic and Transonic Cascades
,” AGARD CP-177.
6.
Deych
,
M. E.
,
Fillipov
,
G. A.
, and
Lazarev
,
L. YA.
, 1965,
Atlas of Axial Turbine Cascade Characteristics
, Mash. Publ. House,
Moscow
.
7.
Craig
,
H. R. M.
, and
Cox
,
H. J. A.
, 1971, “
Performance Estimation of Axial Flow Turbines
,”
Proc. Inst. Mech. Eng.
0020-3483,
185
, pp.
32
71
.
8.
Sieverding
,
C. H.
, and
Heinemann
,
H.
, 1989, “
The Influence of Boundary Layer State on Vortex Shedding From Flat Plates and Turbine Cascades
,” ASME Paper No. 89-GT-296.
9.
Williamson
,
C. H. K.
, and
Govardhan
,
R.
, 2004, “
Vortex-Induced Vibrations
,”
Annu. Rev. Fluid Mech.
0066-4189,
36
, pp.
413
55
.
10.
King
,
R.
, 1974, “
Vortex-Excited Oscillations of a Circular Cylinder in Steady Currents
,”
Offshore Technol. Conf.
, Paper No. OTC 1948.
11.
Jones
,
K. D.
,
Dohring
,
C. M.
, and
Platzer
,
M. F.
, 1998, “
Experimental and Computational Investigation of the Knoller-Betz Effect
,”
AIAA J.
0001-1452,
36
(
7
), pp.
1240
1246
.
12.
Triantafyllou
,
G. S.
,
Triantafyllou
,
M. S.
, and
Grosenbaugh
,
M. A.
, 1993, “
Optimal Thrust Development in Oscillating Foils With Application to Fish Propulsion
,”
J. Fluids Struct.
0889-9746,
7
, pp.
205
224
.
13.
Kadlec
,
R. A.
, and
Davis
,
S. S.
, 1996, “
Visualization of Quasiperiodic Flows
,”
AIAA J.
0001-1452,
17
(
11
), pp.
1164
1169
.
14.
Ohashi
,
H.
, and
Ishikawa
,
N.
, 1972, “
Visualization Study of a Flow Near the Trailing Edge of an Oscillating Airfoil
,”
Bull. JSME
0021-3764,
15
, pp.
840
845
.
15.
Koochesfahani
,
M. M.
, 1989, “
Vortical Patterns in the Wake of an Oscillating Airfoil
,”
AIAA J.
0001-1452,
27
(
9
), pp.
1200
1205
.
16.
Young
,
J.
, and
Lai
,
J. C. S.
, 2004, “
Oscillation Frequency and Amplitude Effects on the Wake of a Plunging Airfoil
,”
AIAA J.
0001-1452,
42
(
10
), pp.
2042
2052
.
17.
DeTemple
,
E.
, 1987, “
Zur Phänomenologie Karmanscher Wirbelstrassen in durch Schall überlagerter Strömung
,” Mitteilungen aus dem Max Planck Institut für Strömungsforschung, Gottingen, Nr. 84.
18.
Carscallen
,
W. E.
, and
Oosthuizen
,
P. H.
, 1989, “
The Effect of Secondary Flow on the Redistribution of the Total Temperature Field Downstream of a Stationary Turbine Cascade
,” AGARD-CP-469, pp.
27
-1–27-
18
.
19.
Williamson
,
R. G.
, and
Moustapha
,
S. H.
, 1986, “
Annular Cascade Testing of Turbine Nozzles at High Exit Mach Numbers
,”
ASME J. Fluids Eng.
0098-2202,
108
, pp.
313
320
.
20.
Kurosaka
,
M.
,
Gertz
,
J. B.
,
Graham
,
J. E.
,
Goodman
,
J. R.
,
Sundaram
,
P.
,
Riner
,
W. C.
,
Kuroda
,
H.
, and
Hankey
,
W. L.
, 1987, “
Energy Separation in a Vortex Street
,”
J. Fluid Mech.
0022-1120,
178
, pp.
1
29
.
21.
Carscallen
,
W. E.
,
Currie
,
T. C.
,
Hogg
,
S. I.
, and
Gostelow
,
J. P.
, 1999, “
Measurement and Computation of Energy Separation in the Vortical Wake Flow of a Turbine Nozzle Cascade
,”
ASME J. Turbomach.
0889-504X,
121
, pp.
703
708
.
22.
Eckert
,
E. R. G.
, 1986, “
Energy Separation in Fluid Streams
,”
Int. Commun. Heat Mass Transfer
0735-1933,
13
, pp.
127
143
.
23.
Brooksbank
,
E. J.
, 2001, “
A Numerical Investigation of Time Resolved Flows Around Turbine Blades
,” Ph.D. thesis, University of Leicester.
24.
Carscallen
,
W. E.
,
Fleige
,
H. U.
, and
Gostelow
,
J. P.
, 1996, “
Transonic Turbine Vane Wake Flows
,” ASME Paper No. 96-GT-419.
25.
Mabey
,
D. G.
, 1989, “
Physical Phenomena Associated With Unsteady Transonic Flows
,”
Unsteady Transonic Aerodynamics
, (Progress in Astronautics and Aeronautics, Vol.
120
), Chap. 1.
26.
Roshko
,
A.
, 1955, “
On the Wake and Drag of Bluff Bodies
,”
J. Aeronaut. Sci.
0095-9812,
22
, pp.
124
132
.
27.
Motallebi
,
F.
, 1988, “
Base Pressure in Transonic Speeds a Comparison Between Theory and Experiment
,” ASME Paper No. 88-GT-132.
28.
Rosenhead
,
L.
, 1953, “
Vortex Systems in Wakes
,”
Adv. Appl. Mech.
0065-2156,
3
, pp.
185
195
.
29.
Ehrhardt
,
G.
, 1979,
Stabilität Zweireihiger Straßen Geradliniger und Kreisförmiger Wirbel
, Fortschr.-Ber. VDI-Z, Reihe, 7, No. 49.
VDI-Verlag
,
Düsseldorf
.
30.
Sun
,
Y. C.
, 1983, “
The Existence of the Kármán Vortex Streets of Unequal Vortex Strengths and the Possible Forms of Wake Flow Behind Bluff Bodies
,” Forsch. DFVLR, Köln.
You do not currently have access to this content.