Abstract

This study experimentally investigates the flow over a stationary square cylinder in the test section of a subsonic wind tunnel. Hotwire anemometry (CTA type), particle image velocimetry (2C-PIV), and flow visualization techniques are used in the study to characterize the flow properties. The study is carried out at four intermediate Reynolds numbers (blocking width 'B' as the characteristic length) 600, 800, 1000, and 2000. The flow over the circular cylinder and square cylinder differs, particularly at intermediate Reynolds numbers, but the literature lacks detailed flow behavior over a square cylinder beyond the wake transition regime. Re = 600 is the critical Reynolds number as the flow changes from a disordered fine-scale three-dimensional regime to a shear layer transition regime. The effects of the regime alterations on the flow properties, vortex shedding frequency, and mean drag coefficient are reported in the study for all Reynolds numbers. The flow visualization supplements the CTA and PIV measurements. The turbulent kinetic energy budget has also been compared for all Reynolds numbers.

References

1.
König
,
M.
,
Noack
,
B. R.
, and
Eckelmann
,
H.
,
1993
, “
Discrete Shedding Modes in the Von Kármán Vortex Street
,”
Phys. Fluids A
,
5
(
7
), pp.
1846
1848
.10.1063/1.858807
2.
König
,
M.
,
Eisenlohr
,
H.
, and
Eckelmann
,
H.
,
1992
, “
Visualization of the Spanwise Cellular Structure of the Laminar Wake of Wall-Bounded Circular Cylinders
,”
Phys. Fluids A
,
4
(
5
), pp.
869
872
.10.1063/1.858266
3.
Zhang
,
H. Q.
,
Fey
,
U.
,
Noack
,
B. R.
,
König
,
M.
, and
Eckelmann
,
H.
,
1995
, “
On the Transition of the Cylinder Wake
,”
Phys. Fluids
,
7
(
4
), pp.
779
794
.10.1063/1.868601
4.
Williamson
,
C. H. K.
,
1996
, “
Three-Dimensional Wake Transition
,”
J. Fluid Mech.
,
328
, pp.
345
407
.10.1017/S0022112096008750
5.
Wu
,
J.
,
Sheridan
,
J.
,
Welsh
,
M. C.
,
Hourigan
,
K.
, and
Thompson
,
M.
,
1994
, “
Longitudinal Vortex Structures in a Cylinder Wake
,”
Phys. Fluids
,
6
(
9
), pp.
2883
2885
.10.1063/1.868115
6.
Wu
,
J.
,
Sheridan
,
J.
,
Welsh
,
M. C.
, and
Hourigan
,
K.
,
1996
, “
Three-Dimensional Vortex Structures in a Cylinder Wake
,”
J. Fluid Mech.
,
312
, pp.
201
222
.10.1017/S0022112096001978
7.
Unal
,
M. F.
, and
Rockwell
,
D.
,
1988
, “
On Vortex Formation From a Cylinder. Part 1. The Initial Instability
,”
J. Fluid Mech.
,
190
, pp.
491
512
.10.1017/S0022112088001429
8.
Prasad
,
A.
, and
Williamson
,
C. H. K.
,
1997
, “
The Instability of the Shear Layer Separating From a Bluff Body
,”
J. Fluid Mech.
,
333
, pp.
375
402
.10.1017/S0022112096004326
9.
Basu
,
R. I.
,
1985
, “
Aerodynamic Forces on Structures of Circular Cross-Section. Part 1. Model-Scale Data Obtained Under Two-Dimensional Conditions in Low-Turbulence Streams
,”
J. Wind Eng. Ind. Aerodyn.
,
21
(
3
), pp.
273
294
.10.1016/0167-6105(85)90040-6
10.
Awbi
,
H. B.
,
1978
, “
Wind-Tunnel Wall Constraint on Two-Dimensional Rectangular-Section Prisms
,”
J. Ind. Aerodyn.
,
3
(
4
), pp.
285
306
.10.1016/0167-6105(78)90034-X
11.
Awbi
,
H. B.
,
1983
, “
Vorticity Equations the Vortex Flow Parameters Which Are Used in the Vorticity Equations Are
,”
J. Wind Eng. Ind. Aerodyn.
,
12
(
3
), pp.
353
362
.10.1016/0167-6105(83)90055-7
12.
Okajima
,
A.
,
1982
, “
Strouhal Number of Rectangular Cylinders
,”
J. Fluid Mech.
,
123
, pp.
379
398
.10.1017/S0022112082003115
13.
Okajima
,
A.
,
1990
, “
Numerical Simulation of Flow Around Rectangular Cylinders
,”
J. Wind Eng. Ind. Aerodyn.
,
33
(
1–2
), pp.
171
180
.10.1016/0167-6105(90)90033-9
14.
Durão
,
D. F. G.
,
Heitor
,
M. V.
, and
Pereira
,
J. C. F.
,
1988
, “
Measurements of Turbulent and Periodic Flows Around a Square Cross-Section Cylinder
,”
Exp. Fluids
,
6
(
5
), pp.
298
304
.10.1007/BF00538820
15.
Durão
,
D. F. G.
,
Gouveia
,
P. S. T.
, and
Pereira
,
J. C. F.
,
1991
, “
Velocity Characteristics of the Flow Around a Square Cross Section Cylinder Placed Near a Channel Wall
,”
Exp. Fluids
,
11
(
6
), pp.
341
350
.10.1007/BF00211788
16.
Lyn
,
D. A.
,
Einav
,
S.
,
Rodi
,
W.
, and
Park
,
J.-H.
,
1995
, “
A Laser-Doppler Velocimetry Study of Ensemble-Averaged Characteristics of the Turbulent Near Wake of a Square Cylinder
,”
J. Fluid Mech.
,
304
, pp.
285
319
.10.1017/S0022112095004435
17.
Sohankar
,
A.
,
Norberg
,
C.
, and
Davidson
,
L.
,
1999
, “
Simulation of Three-Dimensional Flow Around a Square Cylinder at Moderate Reynolds Numbers
,”
Phys. Fluids
,
11
(
2
), pp.
288
306
.10.1063/1.869879
18.
Saha
,
A. K.
,
Muralidhar
,
K.
, and
Biswas
,
G.
,
2000
, “
Vortex Structures and Kinetic Energy Budget in Two-Dimensional Flow Past a Square Cylinder
,”
Comput. Fluids
,
29
(
6
), pp.
669
694
.10.1016/S0045-7930(99)00021-3
19.
Saha
,
A. K.
,
Muralidhar
,
K.
, and
Biswas
,
G.
,
2003
, “
Investigation of Two- and Three-Dimensional Models of Transitional Flow Past a Square Cylinder
,”
J. Eng. Mech.
,
129
(
11
), pp.
1320
1329
.10.1061/(ASCE)0733-9399(2003)129:11(1320)
20.
Saha
,
A. K.
,
2009
, “
Effect of Transitions on Flow Past a Square Cylinder at Low Reynolds Number
,”
J. Eng. Mech.
,
135
(
8
), pp.
839
851
.10.1061/(ASCE)0733-9399(2009)135:8(839)
21.
Luo
,
S. C.
,
Chew
,
Y. T.
, and
Ng
,
Y. T.
,
2003
, “
Characteristics of Square Cylinder Wake Transition Flows
,”
Phys. Fluids
,
15
(
9
), pp.
2549
2559
.10.1063/1.1596413
22.
Jiang
,
H.
,
Cheng
,
L.
, and
An
,
H.
,
2018
, “
Three-Dimensional Wake Transition of a Square Cylinder
,”
J. Fluid Mech.
,
842
, pp.
102
127
.10.1017/jfm.2018.104
23.
Bai
,
H.
, and
Alam
,
M. M.
,
2018
, “
Dependence of Square Cylinder Wake on Reynolds Number
,”
Phys. Fluids
,
30
(
1
), p.
015102
.10.1063/1.4996945
24.
Sharma
,
K. R.
, and
Dutta
,
S.
,
2020
, “
Flow Control Over a Square Cylinder Using Attached Rigid and Flexible Splitter Plate at Intermediate Flow Regime
,”
Phys. Fluids
,
32
(
1
), p. 014104.10.1063/1.5127905
25.
Norberg
,
C.
,
1993
, “
Flow Around Rectangular Cylinders: Pressure Forces and Wake Frequencies
,”
J. Wind Eng. Ind. Aerodyn.
,
49
(
1–3
), pp.
187
196
.10.1016/0167-6105(93)90014-F
26.
Dutta
,
S.
,
Panigrahi
,
P. K.
, and
Muralidhar
,
K.
,
2007
, “
Sensitivity of a Square Cylinder Wake to Forced Oscillations
,”
ASME J. Fluids Eng.
,
129
(
7
), pp.
852
870
.10.1115/1.2742736
27.
Chauhan
,
M. K.
,
Dutta
,
S.
,
More
,
B. S.
, and
Gandhi
,
B. K.
,
2018
, “
Experimental Investigation of Flow Over a Square Cylinder With an Attached Splitter Plate at Intermediate Reynolds Number
,”
J. Fluids Struct.
,
76
, pp.
319
335
.10.1016/j.jfluidstructs.2017.10.012
28.
Keane
,
R. D.
, and
Adrian
,
R. J.
,
1990
, “
Optimization of Particle Image Velocimeters. Part I: Double Pulsed Systems
,”
Meas. Sci. Technol.
,
1
(
11
), pp.
1202
1215
.10.1088/0957-0233/1/11/013
29.
Bloor
,
M. S.
,
1964
, “
The Transition to Turbulence in the Wake of a Circular Cylinder
,”
J. Fluid Mech.
,
19
(
02
), pp.
290
304
.10.1017/S0022112064000726
30.
Gerrard
,
J. H.
,
1978
, “
The Wakes of Cylindrical Bluff Bodies at Low Reynolds Number
,”
Philos. Trans. R. Soc. A
,
288
(
1354
), pp.
351
382
.10.1098/rsta.1978.0020
31.
Zhou
,
X.
,
Wang
,
J. J.
, and
Hu
,
Y.
,
2019
, “
Experimental Investigation on the Flow Around a Circular Cylinder With Upstream Splitter Plate
,”
J. Vis.
, 22, pp.
683
695
.10.1007/s12650-019-00560-x
32.
Roshko
,
A.
,
1993
, “
Perspectives on Bluff Body Aerodynamics
,”
J. Wind Eng. Ind. Aerodyn.
,
49
, pp.
73
100
.10.1016/0167-6105(93)90007-B
33.
Chauhan
,
M. K.
,
Dutta
,
S.
,
Gandhi
,
B. K.
, and
More
,
B. S.
,
2016
, “
Experimental Investigation of Flow Over a Transversely Oscillating Square Cylinder at Intermediate Reynolds Number
,”
ASME J. Fluids Eng.
,
138
(
5
), p.
051105
.10.1115/1.4031878
34.
Sharma
,
K. R.
, and
Dutta
,
S.
,
2021
, “
Influence of Length and Effective Stiffness of an Attached Flexible Foil for Flow Over a Square Cylinder
,”
J. Fluids Struct.
,
104
, p.
103298
.10.1016/j.jfluidstructs.2021.103298
35.
Panigrahi
,
P. K.
,
Schroeder
,
A.
, and
Kompenhans
,
J.
,
2008
, “
Turbulent Structures and Budgets Behind Permeable Ribs
,”
Exp. Therm. Fluid Sci.
,
32
(
4
), pp.
1011
1033
.10.1016/j.expthermflusci.2007.11.019
36.
More
,
B. S.
,
Dutta
,
S.
,
Chauhan
,
M. K.
, and
Gandhi
,
B. K.
,
2015
, “
Experimental Investigation of Flow Field Behind Two Tandem Square Cylinders With Oscillating Upstream Cylinder
,”
Exp. Therm. Fluid Sci.
,
68
, pp.
339
358
.10.1016/j.expthermflusci.2015.05.011
37.
Antonia
,
R. A.
, and
Rajagopalan
,
S.
,
1990
, “
Determination of Drag of a Circular Cylinder
,”
AIAA J.
,
28
(
10
), pp.
1833
1834
.10.2514/3.10485
38.
Schlichting
,
H.
,
1979
,
HermannSchlichting-Boundary-Layertheory
,
McGraw-Hill
, New York.
39.
Sohankar
,
A.
,
2006
, “
Flow Over a Bluff Body From Moderate to High Reynolds Numbers Using Large Eddy Simulation
,”
Comput. Fluids
, 35(10), pp.
1154
1168
.10.1016/j.compfluid.2005.05.007
40.
Dutta
,
S.
,
Muralidhar
,
K.
, and
Panigrahi
,
P. K.
,
2003
, “
Influence of the Orientation of a Square Cylinder on the Wake Properties
,”
Exp. Fluids
,
34
(
1
), pp.
16
23
.10.1007/s00348-002-0484-x
41.
Saha
,
A. K.
,
Biswas
,
G.
, and
Muralidhar
,
K.
,
2003
, “
Three-Dimensional Study of Flow Past a Square Cylinder at Low Reynolds Numbers
,”
Int. J. Heat Fluid Flow
,
24
(
1
), pp.
54
66
.10.1016/S0142-727X(02)00208-4
42.
Nakagawa
,
S.
,
Nitta
,
K.
, and
Senda
,
M.
,
1999
, “
Experimental Study on Unsteady Turbulent Near Wake of a Rectangular Cylinder in Channel Flow
,”
Exp. Fluids
,
27
(
3
), pp.
284
294
.10.1007/s003480050353
43.
Knisely
,
C. W.
,
1990
, “
Strouhal Numbers of Rectangular Cylinders at Incidence: A Review and New Data
,”
J. Fluids Struct.
,
4
(
4
), pp.
371
393
.10.1016/0889-9746(90)90137-T
44.
Kim
,
D. H.
,
Yang
,
K. S.
, and
Senda
,
M.
,
2004
, “
Large Eddy Simulation of Turbulent Flow Past a Square Cylinder Confined in a Channel
,”
Comput. Fluids
,
33
(
1
), pp.
81
96
.10.1016/S0045-7930(03)00040-9
45.
Davis
,
R. W.
,
Moore
,
E. F.
, and
Purtell
,
L. P.
,
1984
, “
A Numerical-Experimental Study of Confined Flow Around Rectangular Cylinders
,”
Phys. Fluids
, 27, p. 46.10.1063/1.864486
46.
Zaki
,
T. G.
, and
Gal-El-Hak
,
M.
,
1994
, “
Numerical and Experimental Investigation of Flow Past a Freely Rotatable Square Cylinder
,”
J. Fluids Struct.
, 8(7), pp.
555
582
.10.1016/S0889-9746(94)90020-5
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