The characteristics of the flow in the wake of a circular cylinder performing rotational oscillation about its own axis and placed horizontally in a cross-stream is investigated. The governing equations based on stream function-vorticity formulation are solved numerically to determine the flow field structure. The parameters dominating flow structure are Reynolds number, Re, amplitude of oscillation, ΘA and frequency ratio FR=S/S0 where S is the forcing frequency and S0 is the natural frequency of vortex shedding. The ranges considered for these parameters are 40⩽Re⩽200, 0⩽ΘA⩽π and 0⩽FR⩽2. The lock-on phenomenon has been predicted and its effect on the flow hydrodynamics has been determined. The lock-on phenomenon is found to occur within a band of frequency encompassing the natural frequency. This band, however, becomes wider as the amplitude of oscillation increases. The obtained results show that the flow pattern in the near wake has a strong dependence on the oscillation parameters but not the far wake. [S0098-2202(00)01102-0]

Issue Section:
Technical Papers
Keywords:
wakes, flow simulation, oscillations, vortices, rotating bodies
Topics:
Cylinders, Flow (Dynamics), Locks (Waterways), Oscillations, Wakes, Vorticity, Drag (Fluid dynamics), Vortices, Vortex shedding, Reynolds number
1.
Tanida
,
Y.
,
Okajima
,
A.
, and
Watanabe
,
Y.
,
1973
, “
Stability of the circular cylinder oscillating in uniform flow or in a wake
,”
J. Fluid Mech.
,
61
, No.
4
, pp.
769
–
784
.
2.
Bishop
,
R. E. D.
, and
Hassan
,
A. Y.
,
1964
, “
The lift and drag forces on a circular cylinder oscillating in a flowing fluid
,”
Proc. R. Soc. London, Ser. A
,
227
, pp.
51
–
75
.
3.
Hurlbut
,
S. E.
,
Spaulding
,
M. L.
, and
White
,
F. M.
,
1982
, “
Numerical Solution for laminar two dimensional flow about a cylinder oscillating in a uniform stream
,”
ASME J. Fluids Eng.
,
104
, pp.
214
–
222
.
4.
Griffin
,
O. M.
, and
Ramberg
,
S. E.
,
1976
, “
Vortex shedding from a cylinder vibrating in line with an incipient uniform flow
,”
J. Fluid Mech.
,
75
, pp.
257
–
271
.
5.
Okajima, A., Takata, H., and Asanuma, T., 1975, “Viscous flow around a rotationally oscillating circular cylinder,” Inst. Space Aero. Sci. Rep. 532, University of Tokyo.
6.
Tokumaru
,
P. T.
, and
Dimotakis
,
P. E.
,
1991
, “
Rotary oscillation control of cylinder wake
,”
J. Fluid Mech.
,
224
, pp.
77
–
90
.
7.
Hori
,
Ei-ichi
,
1962
, “
Boundary layer on a circular cylinder in rotational oscillation
,”
Bull. JSME
,
5
,
No. 17
No. 17
.
8.
Taneda
,
S.
,
1978
, “
Visual Observation of the flow past a circular cylinder performing a rotary oscillation
,”
J. Phys. Soc. Jpn.
,
45
, No. 3.
9.
Wu, J. M., Mo, J. D., and Vakili, A. D., 1989, “On the wake of a circular cylinder with rotational oscillations,” AIAA-89-1024.
10.
Tokumaru
,
P. T.
, and
Dimotakis
,
P. E.
,
1993
, “
The lift of a cylinder executing rotary motions in a uniform flow
,”
J. Fluid Mech.
,
255
, pp.
1
–
10
.
11.
Filler
,
J. R.
,
Marston
,
P. L.
, and
Mih
,
W. C.
,
1991
, “
Response of the shear layers separating from a circular cylinder to small-amplitude rotational oscillation
,”
J. Fluid Mech.
,
231
, pp.
481
–
499
.
12.
Lu
,
X.
, and
Sato
,
J.
,
1996
, “
A numerical study of flow past rotationally oscillating circular cylinder
,”
J. Fluids Struct.
,
10
, pp.
829
–
849
.
13.
Chou
,
M. H.
,
1997
, “
Synchronization of vortex shedding from a cylinder under rotary oscillation
,”
Comput. Fluids
,
26
, No.
8
, pp.
755
–
774
.
14.
Badr
,
H. M.
, and
Dennis
,
S. C. R.
,
1985
, “
Time-dependent viscous flow past an impulsively started rotating and translating circular cylinder
,”
J. Fluid Mech.
,
158
, p.
447
447
.
15.
Collins
,
W. M.
, and
Dennis
,
S. C. R.
,
1973
, “
Flow past an impulsively started circular cylinder
,”
J. Fluid Mech.
,
60
, p.
105
105
.
16.
Ta Phuoc
,
Loc
, and
Bouard
,
R.
,
1985
, “
Numerical solution of the early stage of the unsteady viscous flow around a circular cylinder: A comparison with experimental visualization and measurements
,”
J. Fluid Mech.
,
180
, pp.
93
–
117
.
17.
Ta Phuoc
,
Loc
,
1980
, “
Numerical analysis of unsteady secondary vortices generated by an impulsively started circular cylinder
,”
J. Fluid Mech.
,
100
, Part 1, pp.
111
–
128
.
18.
Coutanceau
,
M.
, and
Menard
,
C.
,
1985
, “
Influence of rotation on the near-wake development behind an impulsively started circular cylinder
,”
J. Fluid Mech.
,
158
, pp.
399
–
446
.
19.
Williamson
,
C. H. K.
,
1991
, “
2-D and 3-D Aspects of the wake of a cylinder, and their relation to wake computations
,”
Lectures of Applied Mathematics
,
9
, Am. Math. Soc., pp.
719
–
751
.
20.
Sarpkaya
,
T.
,
1979
, “
Vortex-induced oscillations
,”
ASME J. Appl. Mech.
,
46
,
241
241
.
21.
Roshko, A., 1954, “On the development of turbulent wakes from vortex streets,” NACA Report, 1191.
22.
Stansby
,
P. K.
,
1976
, “
The locking-on vortex shedding due to cross-stream vibration of circular cylinder in uniform and shear flows
,”
J. Fluid Mech.
,
74
, pp.
641
–
665
.
23.
Karniadakis
,
G.
, and
Triantayllou
,
S. G.
,
1989
, “
Frequency selection and asymptotic states in laminar wakes
,”
J. Fluid Mech.
,
199
, pp.
441
–
469
.
24.
Koopman
,
G. H.
,
1967
, “
The vortex wakes of vibrating cylinders at low Reynolds numbers
,”
J. Fluid Mech.
,
28
, pp.
501
–
512
.
25.
Meneghini
,
J. R.
, and
Bearman
,
P. W.
,
1995
, “
Numerical simulation of high amplitude oscillatory flow about a circular cylinder
,”
J. Fluids Struct.
,
9
, pp.
435
–
455
.
26.
Williamson
,
C. H. K.
,
1989
, “
Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers
,”
J. Fluid Mech.
,
206
, pp.
579
–
627
.
27.
Chin-Hsiang
,
C.
,
Jing-Lia
,
H.
, and
Win
,
A.
,
1997
, “
Numerical prediction of lock-on effect on convective heat transfer from a transversely oscillating circular cylinder
,”
Int. J. Heat Mass Transf.
,
40
, No.
8
, pp.
1825
–
1834
.
Copyright © 2000
 by ASME
You do not currently have access to this content.