Aiming at the problem of continuous control of asymmetric forebody vortices at a high angle of attack in a bi-stable regime, a dual synthetic jet actuator embedded in an ogive forebody was designed. Alternating unsteady disturbance with varying degree asymmetrical flow fields near the nozzles is generated by adjusting the duty cycle of the drive signal of the actuator, specifically embodying the asymmetric time-averaged pattern of jet velocity, vorticity, and turbulent kinetic energy. Experimental results show that within the range of relatively high angles of attack, including the angle-of-attack region in a bi-stable state, the lateral force of the ogive forebody is continuously controlled by adjusting the duty cycle of the drive signal; the position of the forebody vortices in space, the vorticity magnitude, the total pressure coefficient near the vortex core, and the vortex breakdown location are continuously changed with the duty cycle increased observed from the time-averaged flow field. Instantaneous flow field results indicate that although the forebody vortices are in an unsteady oscillation state, a continuous change in the forebody vortices’ oscillation balance position as the duty cycle increases leads to a continuous change in the model’s surface pressure distribution and time-averaged lateral force. Different from the traditional control principle, in this study, other different degree asymmetrical states of the forebody vortices except the bi-stable state are obtained using the dual synthetic jet control technology.

1.
H. J.
Allen
and
E. W.
Perkins
, “
Characteristics of flow over inclined bodies of revolution
,” National Advisory Committee for Aeronautics, RM A50L07,
1951
.
2.
M.
Cooper
,
L. E.
Hasel
, and
J. P.
Gapcynski
, “
A pressure-distribution investigation of a fineness-ratio-12.2 parabolic body of revolution (NACA RM-10) at M = 1.59 and angles of attack up to 36 degrees
,” NACA RM-L52G14a,
October 30, 1952
.
3.
S. C.
Luo
,
T. T.
Lim
,
K. B.
Lua
, and
H. T.
Chia
, “
Flow field around ogive/elliptic-tip cylinder at high angle of attack
,”
AIAA J.
36
(
10
),
1778
1787
(
1998
).
4.
K. B.
Lua
,
T. T.
Lim
, and
S. C.
Luo
, “
Helical-groove and circular-trip effects on side force
,”
J. Aircr.
37
(
5
),
906
915
(
2000
).
5.
A. S.
Lee
,
S. C.
Luo
,
T. T.
Lim
, and
K. B.
Lua
, “
Side force on an ogive cylinder: Effects of control devices
,”
AIAA J.
38
(
3
),
385
388
(
2000
).
6.
D. L.
Gao
,
W. L.
Chen
,
H.
Li
, and
H.
Hu
, “
Flow around a circular cylinder with slit
,”
Exp. Therm. Fluid Sci.
82
,
287
301
(
2017
).
7.
D. L.
Gao
,
W. L.
Chen
,
H.
Li
, and
H.
Hu
, “
Flow around a slotted circular cylinder at various angles of attack
,”
Exp. Fluids
58
(
10
),
132
(
2017
).
8.
P. J.
Lamont
and
B. L.
Hunt
, “
Pressure and force distributions on a sharp nose circular cylinder at larges of inclinations to uniform subsonic stream
,”
J. Fluid Mech.
76
(
3
),
519
559
(
1976
).
9.
B. L.
Hunt
, “
Asymmetric vortex forces and wakes on slender bodies
,” AIAA Paper No. 82-1336,
1982
.
10.
G. G.
Zilliac
,
D.
Degani
, and
M.
Tobak
, “
Asymmetric vortices on a slender body of revolution
,”
AIAA J.
29
(
5
),
667
675
(
1991
).
11.
D.
Degani
and
M.
Tobak
, “
Experimental study of controlled tip disturbance effect on flow asymmetry
,”
Phys. Fluids
4
,
2825
2832
(
1992
).
12.
X. Y.
Deng
,
Y. K.
Wang
, and
X. R.
Chen
, “
Deterministic flow field and flow structure model of asymmetric vortices over slender body
,” AIAA Paper 2003-5475,
2003
.
13.
D. M.
Rao
, “
Side-force alleviation on slender, pointed forebodies at high angles of attack
,”
J. Aircr.
16
(
11
),
763
768
(
1979
).
14.
G.
Malcolm
, “
Forebody vortex control: A progress review
,” AIAA Paper No. 93-3540,
1993
.
15.
C. A.
Moskovitz
,
F. R.
Dejarnette
, and
R. M.
Hall
, “
New device for controlling asymmetric flowfields on forebodies at large alpha
,”
J. Aircr.
28
(
7
),
456
462
(
1991
).
16.
D. H.
Bridges
and
H. G.
Hornung
, “
Elliptic tip effects on the vortex wake of an axisymmetric body at incidence
,”
AIAA J.
32
,
1437
1445
(
1994
).
17.
W. W.
Zhang
,
X. B.
Liu
,
J.
Zhai
, and
Z. Y.
Ye
, “
Experimental study on side force alleviation of conical forebody with a fluttering flag
,”
Phys. Fluids
24
(
12
),
124105
(
2012
).
18.
J.
Zhai
,
W. W.
Zhang
,
C. Q.
Gao
 et al., “
Side force control on slender body by vortex generators
,”
Chin. J. Theor. Appl. Mech.
46
(
2
),
308
312
(
2014
) (in Chinese).
19.
D. M.
Rao
,
D. G.
Murri
, and
A.
Moskovitz
, “
Forebody vortex management for yaw control at high angles of attack
,”
J. Aircr.
24
(
4
),
248
254
(
1987
).
20.
D. G.
Murri
,
G. H.
Shah
,
D. J.
DiCarlo
, and
T. W.
Trilling
, “
Actuated forebody strake contols for the F-18 high-alpha research vehicle
,”
J. Aircr.
32
(
3
),
555
562
(
1995
).
21.
T. T.
Ng
and
G. N.
Malcolm
, “
Aerodynamic control using forebody blowing and suction
,” AIAA Paper No. 91-0618,
1991
.
22.
F. W.
Roos
, “
Low-energy pneumatic control of forebody vortices
,” in
Fourth NASA High-Angle-of-Attack Conference, FWR-93-AA13
,
July 1994
.
23.
F. W.
Roos
, “
Microblowing for high-angle-of-attack vortex flow control on a fighter aircraft
,”
J. Aircr.
38
(
3
),
454
457
(
2001
).
24.
R.
Kumar
and
P. R.
Viswanath
, “
Nose blowing for side force control on slender cones at high incidence
,”
J. Aircr.
45
(
4
),
1156
1166
(
2008
).
25.
S. Y.
Sun
,
X. Y.
Deng
, and
H. L.
Zhan
, “
Study of flow control over different noses with single hole microblowing
,”
J. Beijing Univ. Aeronaut. Astronaut.
31
(
6
),
599
603
(
2005
) (in Chinese).
26.
F. W.
Roos
, “
Synthetic-jet microblowing for forebody flow asymmetry management
,” AIAA Paper No. 98-0212,
1998
.
27.
J. E.
Bernhardt
and
D. R.
Williams
, “
Proportional control of asymmetric forebody vortices
,”
AIAA J.
36
(
11
),
2087
2093
(
1998
).
28.
E.
Hanff
,
R.
Lee
, and
R. J.
Kind
, “
Investigations on a dynamic forebody flow control system
,” in
Proceedings of the 18th International Congress on Instrumentation in Aerospace Simulation Facilities
(
Institute of Electrical and Electronics Engineers (IEEE)
,
Toulouse, NJ
,
1999
), pp.
28-1
28-9
.
29.
B. B.
Li
,
Y. B.
Jiang
,
Y. S.
Gu
, and
K. M.
Cheng
, “
Experimental study of asymmetric vortex control at high angle of attack with synthetic jet
,”
ACTA Aeronaut. Astronaut. Sin.
36
(
3
),
764
771
(
2015
) (in Chinese).
30.
X.
Ming
and
Y. S.
Gu
, “
An innovative control technique for slender bodies at high angle of attack
,” AIAA Paper 2006-3688,
2006
.
31.
Y. S.
Gu
, “
Control of forebody flow asymmetry in high-angle flows
,” Ph.D. dissertation (
Nanjing University of Aeronautics and Astronautics
,
2004
).
32.
F.
Liu
,
S. L.
Luo
,
C.
Gao
,
X. S.
Meng
,
J. N.
Hao
,
J. L.
Wang
, and
Z. J.
Zhao
, “
Flow control over a conical forebody using duty-cycled plasma actuators
,”
AIAA J.
46
(
11
),
2969
2973
(
2008
).
33.
T.
Matsuno
and
H.
Kawazoe
, “
Aerodynamic control of high performance aircraft using pulsed plasma actuators
,” AIAA Paper 2009-697,
2009
.
34.
X. S.
Meng
,
J. L.
Wang
, and
J. S.
Cai
, “
Optimal DBD duty-cycle for conical forebody side-force proportional control
,” AIAA Paper 2013-0347,
2013
.
35.
R. M.
Cummings
,
J. R.
Forsythe
,
S. A.
Morton
, and
K. D.
Squires
, “
Computational challenges in high angle of attack flow prediction
,”
Prog. Aerosp. Sci.
39
(
5
),
369
384
(
2003
).
36.
B. B.
Li
, “
Synthetic jet and its application in active flow control
,” Ph.D. dissertation (
Nanjing University of Aeronautics and Astronautics
,
2012
).
37.
M. D.
Zeiger
, “
The dynamic character of the flow over a 3.5 caliber tangent-ogive cylinder in steady and maneuvering states at high incidence
,” Ph.D. dissertation (
Virginia Polytechnic Institute and State University
,
2013
).
38.
Z. B.
Luo
,
Z. X.
Xia
,
X.
Deng
 et al., “
Research progress of dual synthetic jets and its flow control technology
,”
Aerodyn. Sin.
35
(
2
),
252
264
(
2017
) (in Chinese), 10.7638/kqdlxxb-2017.0053.
39.
Q. T.
Wang
,
K. M.
Cheng
,
Y. S.
Gu
, and
W.
Zuo
, “
Active flow control of bi-stable asymmetric vortices on a slender body by alternating synthetic jets
,” in
Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering
,
2017
.
40.
H.
Helmholtz
, “
Theorie der luftschwingungen in röhren mit offenen enden
,”
J. Reine Angew. Math.
1860
(
57
),
1
72
(
1860
).
41.
Q. T.
Wang
,
K. M.
Cheng
,
Y. S.
Gu
, and
Y. H.
Chen
, “
The lateral force hysteretic characteristic of a pitching slender body without and with synthetic jet control
,” in
Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering
,
2017
, 0954410017703150.
42.
Y. D.
Zhu
,
H. J.
Yuan
, and
C. B.
Lee
, “
Experimental investigations of the initial growth of flow asymmetries over a slender body of revolution at high angles of attack
,”
Phys. Fluids
27
(
8
),
084103
(
2015
).
You do not currently have access to this content.