Abstract

The influence of rounded corners on the aerodynamic forces and flow interference has been studied in detail for a uniform flow past two side-by-side arranged square cylinders. The Reynolds number (Re) based on the cylinder diameter (D) and free stream velocity (U) is 100. Numerical simulations are carried out for seven different transverse gap ratios (T/D), each with a minimum and maximum corner radius. An inbuilt finite difference code with staggered arrangement of flow variables is used to discretize the governing equations. The concept of immersed boundary method (IBM) is employed to simulate flow around rounded corners using the regular Cartesian grids. The computational code was validated for flow past an isolated circular cylinder, square cylinder, and two equal sized circular cylinders and the results were found to be in very good agreement with available literatures. In the present study, results in terms of the mean and rms values of lift and drag coefficients, Strouhal number, phase diagrams, and contours of streamlines and vorticity are presented. As the corner radius is increased, a reduction in the drag force is observed. There exists a significant effect of gap ratio and corner radius on the phase angle of lift and drag coefficients. Three different flow patterns, namely the single bluff body flow, biased gapside flow, and two independent bluff body flows, were observed from this study.

References

1.
Zdravkovich
,
M. M.
, 1987, “
The Effects of Interference Between Circular Cylinders in Cross Flow
,”
J. Fluid. Struct.
,
1
, pp.
239
261
.
2.
Bearman
,
P. W.
,
Graham
,
J. M. R.
,
Obasaju
,
E. D.
, and
Drossopoulos
,
G. M.
, 1984, “
The Influence of Corner Radius on the Forces Experienced by Cylindrical Bluff Bodies in Oscillatory Flow
,”
Appl. Ocean. Res.
,
6
, pp.
83
89
.
3.
Tamura
,
T.
,
Miyagi
,
T.
, and
Kitagishi
,
T.
, 1998, “
Numerical Prediction of Unsteady Pressures on a Square Cylinder With Various Corner Shapes
,”
J. Wind Eng. Ind. Aerod.
,
74–76
, pp.
531
542
.
4.
Tamura
,
T.
, and
Miyagi
,
T.
, 1999, “
The Effect of Turbulence on Aerodynamic Forces on a Square Cylinder With Various Corner Shapes
,”
J. Wind Eng. Ind. Aerod.
,
83
, pp.
135
145
.
5.
Dalton
,
C.
, and
Zheng
,
W.
, 2003, “
Numerical Solutions of a Viscous Uniform Approach Flow Past Square and Diamond Cylinders
,”
J. Fluids Struct.
,
18
, pp.
455
465
.
6.
Agrawal
,
A.
,
Djenidi
,
L.
, and
Antonia
,
R. A.
, 2006, “
Investigation of Flow Around a Pair of Side-by-Side Square Cylinders Using the Lattice Boltzmann Method
,”
Comput. Fluids
,
35
, pp.
1093
1107
.
7.
Liu
,
Y.
, and
Cui
,
Z. X.
, 2006, “
Three-Dimensional Wake Interactions for Two Side-by-Side Cylinders in a Cross Flow
,”
Int. J. Comput. Fluid D.
,
20
, pp.
379
389
.
8.
Niu
,
J.
, and
Zhu
,
Z.
, 2006, “
Numerical Study of Three-Dimensional Flows Around Two Identical Square Cylinders in Staggered Arrangements
,”
Phys. Fluids
,
18
, p.
044106
.
9.
Ayyappan
,
T.
, and
Vengadesan
,
S.
, 2008, “
Influence of Staggering Angle of a Rotating Rod on Flow Past a Circular Cylinder
,”
ASME J. Fluids Eng.
,
130
, p.
031103
.
10.
Peskin
,
C. S.
, 1977, “
Numerical Analysis of Blood Flow in the Heart
,”
J. Comput. Phys.
,
25
, pp.
220
252
.
11.
Su
,
W.
,
Lai
,
M. C.
, and
Lin
,
C. A.
, 2007, “
An Immersed Boundary Technique for Simulating Complex Flows With Rigid Boundary
,”
Comput. Fluids
,
36
, pp.
313
324
.
12.
Hirt
,
C. W.
, and
Cook
,
J. L.
, 1972, “
Calculating Three-Dimensional Flow Around Structures and Over Rough Terrain
,”
J. Comput. Phys.
,
10
, pp.
324
340
.
13.
Peskin
,
C. S.
, 2002, “
The Immersed Boundary Method
,”
Acta Numerica
,
11
, pp.
479
517
.
14.
Lankadasu
,
A.
, and
Vengadesan
,
S.
, 2008, “
Interference Effect of Two Equal-Sized Square Cylinders in Tandem Arrangement: With Planar Shear Flow
,”
Int. J. Numer. Meth. Fluids
,
57
, pp.
1005
1021
.
15.
Lima E Silva
,
A. L. F.
,
Silveira-Neto
,
A.
, and
Damasceno
,
J. J. R.
, 2003, “
Numerical Simulation of Two-Dimensional Flows Over a Circular Cylinder Using the Immersed Boundary Method
,”
J. Comput. Phys.
,
189
, pp.
351
370
.
16.
Sohankar
,
A.
,
Norberg
,
C.
, and
Davidson
,
L.
, 1999, “
Simulation of Three-Dimensional Flow Around a Square Cylinder at Moderate Reynolds Numbers
,”
Phys. Fluids
,
11
, pp.
288
306
.
17.
Lai
,
M. C.
, and
Peskin
,
C. S.
, 2000, “
An Immersed Boundary Method With Formal Second-Order Accuracy and Reduced Numerical Viscosity
,”
J. Comput. Phys.
,
160
, pp.
705
719
.
18.
Williamson
,
C. H. K.
, 1996, “
Vortex Dynamics in the Cylinder Wake
,”
Annu. Rev. Fluid Mech.
,
28
, pp.
477
539
.
19.
Saha
,
A. K.
,
Biswas
,
G.
, and
Muralidhar
,
K.
, 2003, “
Three-Dimensional Study of Flow Past a Square Cylinder at Low Reynolds Numbers
,”
In. J. Heat Fluid Flow
,
24
, pp.
54
66
.
20.
Liu
,
K.
,
Ma
,
D.
,
Sun
,
D.
, and
Yin
,
X.
, 2007, “
Wake Patterns of Flow Past a Pair of Circular Cylinders in Side-by-Side Arrangements at Low Reynolds Numbers
,”
J. Hydrodyn.
,
19
, pp.
690
697
.
21.
Lee
,
K.
,
Yang
,
K.
, and
Yoon
,
D.
, 2009, “
Flow-Induced Forces on Two Circular Cylinders in Proximity
,”
Comput. Fluids
,
38
, pp.
111
120
.
You do not currently have access to this content.