Flow over two tandem cylinders is simulated using an immersed-boundary method. Cases with different distances between the cylinders are investigated. The flow field is then used to provide information to analyze the pressure fluctuations both in the cylinders (assumed rigid and hollow) and at the far field. The results show that the downstream cylinder pertains higher levels of pressure fluctuations both inside the cylinder and at far field than the upstream cylinder. When the distance between the cylinders increases from the quasi-reattachment flow pattern to the critical regime, the pressure fluctuation levels from the downstream cylinder increase significantly. The spectral analysis reveals only one significant peak at the frequency of twice of the corresponding Strouhal number for the far-field acoustics, but two peaks at the frequencies of both the Strouhal number itself and twice of it for pressure fluctuations inside the cylinders.

1.
Cox
J. S.
,
Brentner
K. S.
, and
Rumsey
C. L.
,
1998
, “
Computation of Vortex Shedding and Radiated Sound for a Circular Cylinder: Subcritical to Transonic Reynolds Numbers
,”
Theoret. Comput. Fluid Dyn.
, Vol.
12
, pp.
233
253
.
2.
Curie
N.
,
1955
, “
The Influence of Solid Boundaries upon Aerodynamic Sound
,”
Proc. Royal Soc. Lond. A
, Vol.
231
, pp.
505
514
.
3.
Currie, I. G., 1993, Fundamental Mechanics of Fluids, 2nd Ed., McGraw-Hill, Inc., New York, NY.
4.
Deng
J
,
Ren
A.-L.
,
Zou
J.-F.
, and
Shao
X.-M.
,
2006
, “
Three-Dimensional Flow around Two-Circular Cylinders in Tandem Arrangement
,”
Fluid Dyn. Research
, Vol.
38
, pp.
386
404
.
5.
Etkin
B.
,
Korbacher
G. K.
, and
Keefe
R. T.
,
1957
, “
Acoustic Radiation from a Stationary Cylinder in a Finite Stream (Aeolian Tones)
,”
J. Acouct. Soc. Am.
, Vol.
29
, pp.
30
36
.
6.
Fadlun
E. A.
,
Verzicco
R.
,
Orlandi
P.
, and
Mohd-Yusof
J.
,
2000
, “
Combined Immersed-Boundary Finite-Difference Methods for Three Dimensional Complex Flow Simulations
,”
J. Comp. Phys.
, Vol.
161
, pp.
35
60
.
7.
Goldstein
D.
,
Handler
R.
, and
Sirovich
L.
,
1993
, “
Modeling a No-Slip Flow Boundary with an External Force Field
,”
J. Comp. Phy.
, Vol.
105
, pp.
354
366
.
8.
Griffin
O. M.
,
1971
, “
The Unsteady Wake of an Oscillating Cylinder at Low Reynolds Number
,”
J. of Applied Mechanics
, Vol.
38
, pp.
729
738
.
9.
Hardin
J. C.
, and
Lamkin
S. L.
,
1984
, “
Aeroacoustic Computation of Cylinder Wake Flow
,”
AIAA J.
, Vol.
22
, pp.
51
57
.
10.
Igarashi
T.
,
1981
, “
Characteristics of the Flow around Two Circular Cylinders of Different Diameters Arranged in Tandem
,”
Bulletin of JSME
, Vol.
24
, pp.
323
331
.
11.
Inoue
O.
, and
Hatakeyama
N.
,
2002
, “
Sound Generation by a Two-Dimensional Circular Cylinder in a Uniform Flow
,”
J. Fluid Mech.
, Vol.
471
, pp.
285
314
.
12.
Li
J.
,
Chambarel
A.
,
Donneaud
M.
, and
Martin
R.
, “
Numerical Study of Laminar Flow past One and Two Circular Cylinders
,”
Computer and Fluids
, Vol.
19
, pp.
155
170
.
13.
Lighthill
M. J.
,
1952
, “
On Sound Generated Aerodynamically: I. General Theory
,”
Proc. Royal Soc. Lond. A
, Vol.
221
, pp.
564
587
.
14.
Mittal
S.
,
Kumar
V.
, and
Raghuvanshi
A.
,
1997
, “
Unsteady Incompressible Flows past Two Cylinders in Tandem and Staggered Arrangements
,”
Int. J. for Num. Methods in Fluids
, Vol.
25
, pp.
1315
1344
.
15.
Mohd-Yusof, J., 1996, “Interaction of Massive Particles with Turbulence,” Ph.D. Dissertation, Dept. of Mechanical and Aerospace Engineering, Cornell Univ.
16.
Perot, F., Auger J.-M, and Giardi, H., 2003, “Numerical Prediction of the Noise Radiated by a Cylinder,” 9th AIAA/CEAS Aeroacoustics Conference and Exhibit, AIAA2003-3240, May 12–14, 2003, Hilton Head, SC.
17.
Phillips
O. M.
,
1956
, “
The Intensity of aeolian Tones
,”
J. Fluid Mech.
, Vol.
1
, pp.
607
624
.
18.
Ravoux
J. F.
,
Nadim
A.
, and
Haj-Hariri
H.
,
2003
, “
An Embedding Method for Bluff Body Flows: Interactions of Two Side-by-Side Cylinder Wakes
,”
Theoret. Comput. Fluid Dynamics
, Vol.
16
, pp.
433
466
.
19.
Sharman
B.
,
Lien
F. S.
,
Davidson
L.
, and
Norberg
C.
,
2005
, “
Numerical Predictions of Low Reynolds Number Flows over Two Tandem Circular Cylinders
,”
Int. J. for Num. Method in Fluids
, Vol.
47
, pp.
423
447
.
20.
Shen
W. Z.
, and
Sorensen
J. N.
,
2001
, “
Aeroacoustic Modeling of Turbulent Airfoil Flows
,”
AIAA J.
, Vol.
39
, pp.
1057
1064
.
21.
Slaouti
A.
, and
Stansby
P. K.
,
1992
, “
Flow around Two Circular Cylinders by the Random Vortex Method
,”
J. Fluids and Structure
, Vol.
6
, pp.
641
670
.
22.
Slimon
S. A.
,
Soteriou
M. C.
, and
Davis
D. W.
,
1999
, “
Computational Aeroacoustics Simulations Using the Expansion about Incompressible Flow Approach
,”
AIAA J.
, Vol.
37
, pp.
409
416
.
23.
Strasberg
M.
1988
, “
Dimensional analysis of windscreen noise
,”
J. Acoust Soc. Am.
, Vol.
83
, pp.
544
548
.
24.
Swarztrauber
P. N.
, and
Sweet
R. A.
,
1979
, “
Algorithm 541, Efficient FORTRAN Subprograms for the Solution of Separable Elliptic Partial Differential Equations [D3]
,”
ACM Trans. on Math. Software
, Vol.
5
, pp.
352
364
.
25.
Tanida
Y.
,
Okajima
A.
, and
Watanabe
Y.
,
1973
, “
Stability of Circular Cylinder Oscillating in Uniform Flow or in a Wake
,”
J. Fluid Mech.
, Vol.
61
, pp.
769
784
.
26.
Zdravkovich, M. M., 1997, Flow around Circular Cylinders, Oxford University Press, New York.
27.
Zdravkovich
M. M.
,
1985
, “
Flow-Induced Oscillations of Two Interfering Circular Cylinders
,”
J. Sound and Vib.
, Vol.
101
, pp.
511
521
.
28.
Zhang, N., and Zheng, Z. C., 2006, “An Improved Direct-Forcing Immersed-Boundary Method for Finite Difference Application,” J. Comp. Phys., in press. DOI: 10.1016/j/jcp.2006.06.012, available online August 9, 2006.
29.
Zheng
Z. C.
, and
Tan
B. K.
,
2003
, “
Reynolds Number Effects on Flow/Acoustic Mechanisms in Spherical Windscreens
,”
J. Acoust. Soc. Am.
, Vol.
113
, No.
1
, pp.
161
166
.
30.
Zheng, Z. C., and Zhang, N., 2003, “Influence of Unsteady Vortex Structures on Noise Reduction of Windscreens,” Proceedings of 2003 International Mechanical Engineering Congress and Exposition, IMECE2003-42465, November 17–22, 2003, Washington, DC.
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