Abstract
The flow around curved tandem cylinders of equal diameter has been investigated for the first time, by means of direct numerical simulations. A convex configuration was used. The nominal gap ratio was L/D = 3.0 and a Reynolds number of 500 was chosen. Due to the change in effective gap ratio along the cylinder axis, there is a variation of tandem flow regimes, from alternating overshoot/reattachment, via stable reattachment, to co-shedding, in this case called gap shedding. The combination of reattachment and gap shedding gives near-zero drag and vertical forces for the downstream cylinder, whereas the corresponding forces on the upstream cylinder are comparable to single curved cylinders. Meanwhile, the opposite is true for the lift forces. A low-frequency variation of horizontal and vertical forces is seen, and this is attributed to a slow variation of the position where gap shedding commences. Finally, the concept of a critical angle is proposed to describe the transition to gap shedding, for a given combination of nominal gap ratio and Reynolds number.
Issue Section:
Fundamental Issues and Canonical Flows
References
1.
2.
Miliou
,
A.
,
Sherwin
,
S. J.
, and
Graham
,
J. M. R.
, 2003
, “
Fluid Dynamic Loading on Curved Riser Pipes
,” ASME J. Offshore Mech. Arct. Eng.
,
18
(1
), pp. 29
–40
.10.1115/1.15768173.
Miliou
,
A.
,
Sherwin
,
S. J.
, and
Graham
,
J. M. R.
, 2003
, “
Wake Topology of Curved Cylinders at Low Reynolds Numbers
,” Flow, Turb. Comb.
,
71
, pp. 157
–160
.10.1023/B:AP P L.0000014920.94050.a24.
Miliou
,
A.
,
De Vecchi
,
A.
,
Sherwin
,
S. J.
, and
Graham
,
J. M. R.
, 2007
, “
Wake Dynamics of External Flow Past a Curved Cylinder With Free Stream Aligned With the Plane of Curvature
,” J. Fluid Mech.
,
592
, pp. 89
–115
.10.1017/S00221120070082455.
Lee
,
S.
,
Paik
,
K.-J.
, and
Srinil
,
N.
, 2020
, “
Wake Dynamics of a 3D Curved Cylinder in Oblique Flows
,” Int. J. Nav. Arch. Ocean Eng.
,
12
, pp. 501
–517
.10.1016/j.ijnaoe.2020.07.0056.
Shang
,
J. K.
,
Stone
,
H. A.
, and
Smits
,
A. J.
, 2018
, “
Flow Past Finite Cylinders of Constant Curvature
,” J. Fluid Mech.
,
837
, pp. 896
–915
.10.1017/jfm.2017.8847.
Jiang
,
F.
,
Pettersen
,
B.
,
Andersson
,
H. I.
,
Kim
,
J.
, and
Kim
,
S.
, 2018
, “
Wake Behind a Concave Curved Cylinder
,” Phys. Rev. Fluids
,
3
(9
), p. 094804
.10.1103/PhysRevFluids.3.0948048.
Jiang
,
F.
,
Pettersen
,
B.
, and
Andersson
,
H. I.
, 2018
, “
Influences of Upstream Extensions on Flow Around a Curved Cylinder
,” Eur. J. Mech. B Fluids
,
67
, pp. 79
–86
.10.1016/j.euromechflu.2017.08.0069.
Jiang
,
F.
,
Pettersen
,
B.
, and
Andersson
,
H. I.
, 2019
, “
Turbulent Wake Behind a Concave Curved Cylinder
,” J. Fluid Mech.
,
878
, pp. 663
–699
.10.1017/jfm.2019.64810.
de Vecchi
,
A.
,
Sherwin
,
S. J.
, and
Graham
,
J. M. R.
, 2008
, “
Wake Dynamics of External Flow Past a Curved Circular Cylinder With the Free-Stream Aligned to the Plane of Curvature
,” J. Fluids Struct.
,
24
(8
), pp. 1262
–270
.10.1016/j.jfluidstructs.2008.06.00811.
Assi
,
G.
,
Srinil
,
N.
,
Freire
,
C.
, and
Korkischko
,
I.
, 2014
, “
Experimental Investigation of the Flow-Induced Vibration of a Curved Cylinder in Convex and Concave Configurations
,” J. Fluids Struct.
,
44
, pp. 52
–66
.10.1016/j.jfluidstructs.2013.10.01112.
Seyed-Aghazadeh
,
B.
,
Budz
,
C.
, and
Modarres-Sadeghi
,
Y.
, 2015
, “
The Influence of Higher Harmonic Flow Forces on the Response of a Curved Circular Cylinder Undergoing Vortex-Induced Vibration
,” J. Sound Vib.
,
353
, pp. 395
–406
.10.1016/j.jsv.2015.04.03613.
Srinil
,
N.
,
Ma
,
B.
, and
Zhang
,
L.
, 2018
, “
Experimental Investigation on in-Plane/Out-of-Plane Vortex-Induced Vibrations of Curved Cylinder in Parallel and Perpendicular Flows
,” J. Sound Vib.
,
421
, pp. 275
–299
.10.1016/j.jsv.2018.02.02114.
Gallardo
,
J. P.
,
Pettersen
,
B.
, and
Andersson
,
H. I.
, 2011
, “
Dynamics in the Wake of a Curved Circular Cylinder
,” 13th European Turbulence Conference (ETC2013)
, Vol.
318
, Warsaw, Poland, Sept. 12–15, p. 062008
.15.
Gallardo
,
J.
,
Pettersen
,
B.
, and
Andersson
,
H. I.
, 2013
, “
Effect of Free-Slip Boundary Conditions on the Flow Around a Curved Circular Cylinder
,” Comput. Fluids
,
86
, pp. 389
–394
.10.1016/j.compfluid.2013.07.02316.
Gallardo
,
J.
,
Andersson
,
H. I.
, and
Pettersen
,
B.
, 2014
, “
Turbulent Wake Behind a Curved Circular Cylinder
,” J. Fluid Mech.
,
742
, pp. 192
–229
.10.1017/jfm.2013.62217.
Gallardo
,
J.
,
Pettersen
,
B.
, and
Andersson
,
H. I.
, 2014
, “
Coherence and Reynolds Stresses in Turbulent Wake Behind a Curved Circular Cylinder
,” J. Turbul.
,
15
(12
), pp. 883
–904
.10.1080/14685248.2014.94461718.
Xu
,
G.
, and
Zhou
,
Y.
, 2004
, “
Strouhal Numbers in the Wake of Two Inline Cylinders
,” Exp. Fluids
,
37
(2
), pp. 248
–256
.10.1007/s00348-004-0808-019.
Zdravkovich
,
M. M.
, 1987
, “
The Effect of Interference Between Circular Cylinders in Cross Flow
,” J. Fluids Struct.
,
1
(2
), pp. 239
–261
.10.1016/S0889-9746(87)90355-020.
Sumner
,
D.
, 2010
, “
Two Circular Cylinders in Cross-Flow: A Review
,” J. Fluids Struct.
,
26
(6
), pp. 849
–899
.10.1016/j.jfluidstructs.2010.07.00121.
Gao
,
Y.
,
He
,
J.
,
Ong
,
M. C.
,
Zhao
,
M.
, and
Wang
,
L.
, 2021
, “
Three-Dimensional Numerical Investigation on Flow Past Two Side-by-Side Curved Cylinders
,” Ocean Eng.
,
234
, p. 109167
.10.1016/j.oceaneng.2021.10916722.
Zhu
,
H.
,
Wang
,
R.
,
Bao
,
Y.
,
Zhou
,
D.
,
Ping
,
H.
,
Han
,
Z.
, and
Sherwin
,
S. J.
, 2019
, “
Flow Over a Symmetrically Curved Circular Cylinder With the Free Stream Parallel to the Plane of Curvature at Low Reynolds Number
,” J. Fluids Struct.
,
87
, pp. 23
–38
.10.1016/j.jfluidstructs.2019.03.01223.
Manhart
,
M.
, 2004
, “
A Zonal Grid Algorithm for DNS of Turbulent Boundary Layers
,” Comput. Fluids
,
33
(3
), pp. 435
–461
.10.1016/S0045-7930(03)00061-624.
Peller
,
N.
,
Le Duc
,
A.
,
Tremblay
,
T.
, and
Manhart
,
M.
, 2006
, “
High-Order Stable Interpolations for Immersed Boundary Methods
,” Int. J. Num. Meth. Fluids
,
52
(11
), pp. 1175
–1193
.10.1002/fld.122725.
Thakur
,
A.
,
Liu
,
X.
, and
Marshall
,
J. S.
, 2004
, “
Wake Flow of Single and Multiple Yawed Cylinders
,” ASME J. Fluids Eng.
,
126
(5
), pp. 861
–870
.10.1115/1.179227626.
Williamson
,
C. H. K.
, 1996
, “
Vortex Dynamics in the Cylinder Wake
,” Annu. Rev. Fluid. Mech.
,
28
(1
), pp. 477
–539
.10.1146/annurev.fl.28.010196.00240127.
Papaioannou
,
G.
,
Yue
,
D. K. P.
,
Triantafyllou
,
M.
, and
Karniadakis
,
G. E.
, 2006
, “
Three-Dimensionality Effects in Flow Around Two Tandem Cylinders
,” J. Fluid Mech.
,
558
, pp. 387
–413
.10.1017/S002211200600013928.
Song
,
Y.
, and
Zhu
,
R.
, 2017
, “
A Numerical Study of Flow Patterns, Drag and Lift for Low Reynolds Number Flow Past Tandem Cylinders of Various Shapes
,” ASME
Paper No. IMECE2017-70089.10.1115/IMECE2017-7008929.
Zhou
,
Q.
,
Alam
,
M.
,
Cao
,
S.
,
Liao
,
H.
, and
Li
,
M.
, 2019
, “
Numerical Study of Wake and Aerodynamic Forces on Two Tandem Circular Cylinders at Re 1000
,” Phys. Fluids
,
31
(4
), p. 045103
.10.1063/1.508722130.
Kitagawa
,
T.
, and
Ohta
,
H.
, 2008
, “
Numerical Investigation on Flow Around Circular Cylinders in Tandem Arrangement at a Subcritical Reynolds Number
,” J. Fluids Struct.
,
24
(5
), pp. 680
–699
.10.1016/j.jfluidstructs.2007.10.01031.
Lee
,
T.
, and
Basu
,
S.
, 1997
, “
Nonintrusive Measurements of the Boundary Layer Developing on a Single and Two Cylinders
,” Exp. Fluids
,
23
(3
), pp. 187
–192
.10.1007/s00348005010132.
Arie
,
M.
,
Kiya
,
M.
,
Moriya
,
M.
, and
Mori
,
H.
, 1983
, “
Pressure Fluctuations on the Surface of Two Circular Cylinders in Tandem Arrangement
,” ASME J. Fluids Eng.
,
105
(2
), pp. 161
–167
.10.1115/1.324095633.
Igarashi
,
T.
, 1981
, “
Characteristics of the Flow Around Two Circular Cylinders Arranged in Tandem (1st Report)
,” Bull. JSME
,
24
(188
), pp. 323
–330
.10.1299/jsme1958.24.32334.
Lin
,
J.-C.
,
Yang
,
Y.
, and
Rockwell
,
D.
, 2002
, “
Flow Past Two Cylinders in Tandem: Instantaneous and Averaged Flow Structure
,” J. Fluids Struct.
,
16
(8
), pp. 1059
–1071
.10.1006/jfls.2002.0469Copyright © 2022 by ASME
You do not currently have access to this content.
