Two NACA0012 vanes at various lateral offsets were investigated by wind tunnel testing to observe the interactions between the streamwise vortices. The vanes were separated by nine chord lengths in the streamwise direction to allow the upstream vortex to impact on the downstream geometry. These vanes were evaluated at an angle of incidence of 8° and a Reynolds number of 7×104 using particle image velocimetry. A helical motion of the vortices was observed, with rotational rate increasing as the offset was reduced to the point of vortex merging. Downstream meandering of the weaker vortex was found to increase in magnitude near the point of vortex merging. The merging process occurred more rapidly when the upstream vortex was passed on the pressure side of the vane, with the downstream vortex being produced with less circulation and consequently merging into the upstream vortex. The merging distance was found to be statistical rather than deterministic quantity, indicating that the meandering of the vortices affected their separations and energies. This resulted in a fluctuation of the merging location. A loss of circulation associated with the merging process was identified, with the process of achieving vortex circularity causing vorticity diffusion, however all merged cases maintained higher circulation than a single vortex condition. The presence of the upstream vortex was found to reduce the strength of the downstream vortex in all offsets evaluated.

1.
L. K.
Brandt
and
K. K.
Nomura
, “
Characterization of the interactions of two unequal co-rotating vortices
,”
J. Fluid Mech.
646
,
233
253
(
2010
).
2.
J. J.
Cassidy
and
H. T.
Falvey
, “
Observations of unsteady flow arising after vortex breakdown
,”
J. Fluid Mech.
41
(
04
),
727
(
1970
).
3.
C.
Cerretelli
and
C. H. K.
Williamson
, “
The physical mechanism for vortex merging
,”
J. Fluid Mech.
475
,
41
77
(
2003
).
4.
C. A.
Cruz
,
Experimental and Numerical Characterization of Turbulent Slot Film Cooling
(
ProQuest
,
2008
).
5.
W.
Devenport
,
J. S.
Zsoldos
, and
C. M.
Vogel
, “
The structure and development of a counter-rotating wing-tip vortex pair
,”
J. Fluid Mech.
332
,
71
(
1997
).
6.
D. G.
Dritschel
, “
The stability and energetics of corotating uniform vortices
,”
J. Fluid Mech.
157
,
95
134
(
1985
).
7.
D. G.
Dritschel
and
D. W.
Waugh
, “
Quantification of the inelastic interaction of unequal vortices in two-dimensional vortex dynamics
,”
Phys. Fluids A
4
(
8
),
1737
(
1992
).
8.
K. J.
Forster
,
T.
Barber
,
S.
Diasinos
, and
G.
Doig
, “
Numerical investigation of streamwise vortex interaction
,” in
SAE Technical Paper
(
SAE International
,
2015
), Vol. 09.
9.
K. J.
Forster
and
T. R.
White
, “
Numerical investigation into vortex generators on heavily cambered wings
,”
AIAA J.
52
(
5
),
1059
1071
(
2014
).
10.
M.
Hall
, “
A new approach to vortex breakdown
,” in
Proceedings of the Heat Transfer and Fluid Mechanics Institute
(
The Stanford University Press for the Heat Transfer and Fluid Mechanics Institute
,
1967
), pp.
319
340
.
11.
R. F.
Huang
and
C. L.
Lin
, “
Vortex shedding and shear-layer instability of wing at low-Reynolds numbers
,”
AIAA J.
33
(
8
),
1398
1403
(
1995
).
12.
D.
Hummel
, “
Formation flight as an energy-saving mechanism
,”
Isr. J. Zool.
41
(
3
),
261
278
(
1995
).
13.
B.
Legras
and
D.
Dritschel
, “
Vortex stripping and the generation of high vorticity gradients in two-dimensional flows
,”
Appl. Sci. Res.
51
,
445
455
(
1993
).
14.
T.
Leweke
,
S.
Le Dizès
, and
C. H. K.
Williamson
, “
Dynamics and instabilities of vortex pairs
,”
Annu. Rev. Fluid Mech.
48
,
507
541
(
2016
).
15.
C. W. M.
Raffel
and
J.
Kompenhas
,
Particle Image Velocimetry, A Practical Guide
(
Springer
,
Berlin, Germany
,
1998
).
16.
M.
Manolesos
and
S. G.
Voutsinas
, “
Experimental investigation of the flow past passive vortex generators on an airfoil experiencing three-dimensional separation
,”
J. Wind Eng. Ind. Aerodyn.
142
,
130
148
(
2015
).
17.
M. V.
Melander
,
N. J.
Zabusky
, and
J. C.
Mcwilliams
, “
Symmetric vortex merger in two dimensions: Causes and conditions
,”
J. Fluid Mech.
195
,
303
(
1988
).
18.
P.
Meunier
,
U.
Ehrenstein
,
T.
Leweke
, and
M.
Rossi
, “
A merging criterion for two-dimensional co-rotating vortices
,”
Phys. Fluids
14
(
8
),
2757
2766
(
2002
).
19.
E. A.
Overman
and
N. J.
Zabusky
, “
Evolution and merger of isolated vortex structures
,”
Phys. Fluids
25
(
8
),
1297
(
1982
).
20.
L. A. A.
Pereira
,
M. H.
Hirata
, and
N. M.
Filho
, “
Wake and aerodynamics loads in multiple bodies-application to turbomachinery blade rows
,”
J. Wind Eng. Ind. Aerodyn.
92
,
477
491
(
2004
).
21.
K.
Roberts
and
J.
Christiansen
, “
Topics in computational fluid dynamics
,”
Comput. Phys. Commun.
3
,
14
32
(
1972
).
22.
K.
Rokhsaz
and
L. K.
Kliment
, “
Experimental investigation of co-rotating vortex filaments in a water tunnel
,” in
32nd AIAA Fluid Dynamics Conference and Exhibit
,
June 2002
.
23.
K.
Rokhsaz
,
R.
Rebours
, and
S. R.
Foster
, “
Quantitative measurements of wake vortex motion in a water tunnel
,” in
39 Aerospace Sciences Meeting and Exhibit
,
January 2001
.
24.
V. J.
Rossow
, “
Convective merging of vortex cores in liftgenerated wakes
,”
J. Aircr.
14
(
3
),
283
290
(
1977
).
25.
P. G.
Saffman
and
R.
Szeto
, “
Equilibrium shapes of a pair of equal uniform vortices
,”
Phys. Fluids
23
(
12
),
2339
2342
(
1980
).
26.
M.
Toloui
,
L. P.
Chamorro
, and
J.
Hong
, “
Detection of tip-vortex signatures behind a 2.5 MW wind turbine
,”
J. Wind Eng. Ind. Aerodyn.
143
,
105
112
(
2015
).
27.
R. R.
Trieling
and
G. J. F. V.
Heijst
, “
Kinematic properties of monopolar vortices in a strain flow
,”
Fluid Dyn. Res.
23
,
319
341
(
1998
).
28.
I.
Yasuda
and
G. R.
Flierl
, “
Two-dimensional asymmetric vortex merger: Contour dynamics experiment
,”
J. Oceanogr.
51
(
2
),
145
170
(
1995
).
29.
A. F. K.
Yeung
and
B. H. K.
Lee
, “
Particle image velocimetry study of wing-tip vortices
,”
J. Aircr.
36
(
2
),
482
484
(
1999
).
30.
N. J.
Zabusky
,
M. H.
Hughes
, and
K. V.
Roberts
, “
Contour dynamics for the Euler equations in two dimensions
,”
J. Comput. Phys.
30
,
96
106
(
1979
).
You do not currently have access to this content.