This paper presents a large eddy simulation (LES) of flow and heat transfer in a tandem configuration of two square cylinders at moderate Reynolds number (Re=16,000). Compressible LES on a hybrid mesh is used to predict the flow structure and the heat transfer at the wall. The goals of this work are to analyze the flow and the heat transfer around a tandem arrangement of two inline square cylinders as well as to propose a LES approach that can be applied to convective heat transfer problems in industrial configurations. The meshing strategy allows to resolve the flow field until the viscous sublayer with y+ of the order unity. The wall adapting linear eddy model is chosen to model the subgrid turbulent viscosity. Aerodynamics results are validated versus experimental measurements performed on isolated cylinders and on tandem configurations. The main flow structures responsible for heat transfer are analyzed. Finally, heat transfer around both cylinders of the tandem is described.

References

1.
Bearman
,
P.
, and
Obasaju
,
E.
,
1982
, “
An Experimental Study of Pressure Fluctuations on Fixed and Oscillating Square-Section Cylinders
,”
J. Fluid Mech.
,
119
, pp.
297
321
.10.1017/S0022112082001360
2.
Lyn
,
D. A.
, and
Rodi
,
W.
,
1994
, “
The Flapping Shear Layer Formed by Flow Separation From the Forward Corner of a Square Cylinder
,”
J. Fluid Mech.
,
267
, pp.
353
376
.10.1017/S0022112094001217
3.
Lyn
,
D. A.
,
Einav
,
S.
,
Rodi
,
W.
, and
Park
,
J.
,
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
4.
Igarashi
,
T.
,
1985
, “
Heat Transfer From a Square Prism to an Air Stream
,”
Int. J. Heat Mass Transfer
,
28
(
1
), pp.
175
181
.10.1016/0017-9310(85)90019-5
5.
Yoo
,
S.
,
Park
,
J.
,
Chung
,
C.
, and
Chung
,
M.
,
2003
, “
An Experimental Study on Heat/Mass Transfer From a Rectangular Cylinder
,”
ASME J. Heat Transfer
,
125
(
6
), pp.
1163
1169
.10.1115/1.1603780
6.
Takeuchi
,
T.
, and
Matsumoto
,
M.
,
1992
, “
Aerodynamic Response Characteristics of Rectangular Cylinders in Tandem Arrangement
,”
J. Wind Eng. Ind. Aerodyn.
,
41
, pp.
565
576
.10.1016/0167-6105(92)90466-N
7.
Haniu
,
H.
,
Obata
,
Y.
, and
Sakamoto
,
H.
,
1987
, “
Fluctuating Forces Acting on Two Square Prisms in a Tandem Arrangement
,”
J. Wind Eng. Ind. Aerodyn.
,
26
, pp.
85
103
.10.1016/0167-6105(87)90037-7
8.
Devarakonda
,
R.
, and
Humphrey
,
J.
,
1996
, “
Experimental Study of Turbulent Flow in the Near Wakes of Single and Tandem Prisms
,”
Int. J. Heat Fluid Flow
,
17
(
3
), pp.
219
227
.10.1016/0142-727X(96)88805-9
9.
Luo
,
S.
,
Li
,
L.
, and
Shah
,
D.
,
1999
, “
Aerodynamic Stability of the Downstream of Two Tandem Square-Section Cylinders
,”
J. Wind Eng. Ind. Aerodyn.
,
79
(
1–2
), pp.
79
103
.10.1016/S0167-6105(98)00111-1
10.
Liu
,
C.-H.
, and
Chen
,
J. M.
,
2002
, “
Observations of Hysteresis in Flow Around Two Square Cylinders in a Tandem Arrangement
,”
J. Wind Eng. Ind. Aerodyn.
,
90
(
9
), pp.
1019
1050
.10.1016/S0167-6105(02)00234-9
11.
Alam
,
M. M.
,
Moriya
,
M.
,
Takai
,
K.
, and
Sakamoto
,
H.
,
2002
, “
Suppression of Fluid Forces Acting on Two Square Prisms in a Tandem Arrangement by Passive Control of Flow
,”
J. Fluids Struct.
,
16
(
8
), pp.
1073
1092
.10.1006/jfls.2002.0458
12.
Zhang
,
P. F.
,
Wang
,
J. J.
,
Lu
,
S. F.
, and
Mi
,
J.
,
2005
, “
Aerodynamic Characteristics of a Square Cylinder With a Rod in a Staggered Arrangement
,”
Exp. Fluids
,
38
(
4
), pp.
494
502
.10.1007/s00348-005-0936-1
13.
Tatsutani
,
K.
,
Devarakonda
,
R.
, and
Humphrey
,
J.
,
1993
. “
Unsteady Flow and Heat Transfer for Cylinder Pairs in a Channel
,”
Int. J. Heat Mass Transfer
,
36
(
13
), pp.
3311
3328
.10.1016/0017-9310(93)90013-V
14.
Kim
,
M. K.
,
Kim
,
D. K.
,
Yoon
,
S. H.
, and
Lee
,
D. H.
,
2008
, “
Measurements of the Flow Fields Around Two Square Cylinders in a Tandem Arrangement
,”
J. Mech. Sci. Technol.
,
22
(
2
), pp.
397
407
.10.1007/s12206-007-1041-6
15.
Rosales
,
J.
,
Ortega
,
A.
, and
Humphrey
,
J.
,
2001
, “
A Numerical Simulation of the Convective Heat Transfer in Confined Channel Flow Past Square Cylinders: Comparison of Inline and Offset Tandem Pairs
,”
Int. J. Heat Mass Transfer
,
44
(
3
), pp.
587
603
.10.1016/S0017-9310(00)00113-7
16.
Sohankar
,
A.
, and
Etminan
,
A.
,
2009
, “
Forced-Convection Heat Transfer From Tandem Square Cylinders in Cross Flow at Low Reynolds Numbers
,”
Int. J. Numer. Methods Fluids
,
60
(
7
), pp.
733
751
.10.1002/fld.1909
17.
Chatterjee
,
D.
, and
Amiroudine
,
S.
,
2010
, “
Two-Dimensional Mixed Convection Heat Transfer From Confined Tandem Square Cylinders in Cross-Flow at low Reynolds Numbers
,”
Int. Commun. Heat Mass Transfer
,
37
(
1
), pp.
7
16
.10.1016/j.icheatmasstransfer.2009.10.007
18.
Sagaut
,
P.
,
2000
,
Large Eddy Simulation for Incompressible Flows (Scientific Computation Series)
,
Springer-Verlag
, Heidelberg.
19.
Moin
,
P.
,
2002
, “
Advances in Large Eddy Simulation Methodology for Complex Flows
,”
Int. J. Heat Fluid Flow
,
23
(
5
), pp.
710
720
.10.1016/S0142-727X(02)00167-4
20.
Poinsot
,
T.
, and
Veynante
,
D.
,
2005
,
Theoretical and Numerical Combustion
, 2nd ed.,
R. T. Edwards, Inc.
21.
Boudier
,
G.
,
Gicquel
,
L. Y. M.
,
Poinsot
,
T.
,
Bissières
,
D.
, and
Bérat
,
C.
,
2007
, “
Comparison of LES, RANS and Experiments in an Aeronautical Gas Turbine Combustion Chamber
,”
Proc. Combust. Inst.
,
31
(2), pp.
3075
3082
.10.1016/j.proci.2006.07.067
22.
Duchaine
,
F.
,
Corpron
,
A.
,
Pons
,
L.
,
Moureau
,
V.
,
Nicoud
,
F.
, and
Poinsot
,
T.
,
2009
, “
Development and Assessment of a Coupled Strategy for Conjugate Heat Transfer With Large Eddy Simulation. Application to a Cooled Turbine Blade
,”
Int. J. Heat Fluid Flow
,
30
(
6
), pp.
1129
1141
.10.1016/j.ijheatfluidflow.2009.07.004
23.
Bricteux
,
L.
,
Duponcheel
,
M.
, and
Winckelmans
,
G.
,
2009
, “
A Multiscale Subgrid Model for Both Free Vortex Flows and Wall-Bounded Flows
,”
Phys. Fluids
,
21
(
10
), p.
105102
.10.1063/1.3241991
24.
Lamarque
,
N.
,
Zoppé
,
B.
,
Lebaigue
,
O.
,
Dolias
,
Y.
,
Bertrand
,
M.
, and
Ducros
,
F.
,
2010
, “
Large-Eddy Simulation of the Turbulent Free-Surface Flow in an Unbaffled Stirred Tank Reactor
,”
Chem. Eng. Sci.
,
65
(
15
), pp.
4307
4322
.10.1016/j.ces.2010.03.014
25.
Ferziger
,
J. H.
, and
Perić
,
M.
,
1997
,
Computational Methods for Fluid Dynamics
,
Springer-Verlag
,
Berlin
.
26.
Smagorinsky
,
J.
,
1963
, “
General Circulation Experiments With the Primitive Equations: 1. The Basic Experiment
.,”
Mon. Weather Rev.
,
91
, pp.
99
164
.10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2
27.
Pope
,
S. B.
,
2000
,
Turbulent Flows
,
Cambridge University
, Cambridge, UK.
28.
Nicoud
,
F.
, and
Ducros
,
F.
,
1999
, “
Subgrid-Scale Stress Modeling Based on the Square of the Velocity Gradient
,”
Flow, Turbine Combust.
,
62
(
3
), pp.
183
200
.10.1023/A:1009995426001
29.
Schönfeld
,
T.
, and
Poinsot
,
T.
,
1999
, “
Influence of Boundary Conditions in LES of Premixed Combustion Instabilities
,” Annual Research Briefs, Center for Turbulence Research, NASA Ames/Stanford University, pp.
73
84
.
30.
Roux
,
A.
,
Gicquel
,
L. Y. M.
,
Sommerer
,
Y.
, and
Poinsot
,
T. J.
,
2008
, “
Large Eddy Simulation of Mean and Oscillating Flow in a Side-Dump Ramjet Combustor
,”
Combust. Flame
,
152
(
1–2
), pp.
154
176
.10.1016/j.combustflame.2007.06.015
31.
Boileau
,
M.
,
Duchaine
,
F.
,
Poinsot
,
T.
, and
Sommerer
,
Y.
,
2013
, “
Large Eddy Simulation of Heat Transfer Around a Square Cylinder
,”
Am. Inst. Aeronaut. Astronaut. J.
,
51
(
2
), pp.
372
385
.10.2514/1.J051800
32.
Donea
,
J.
, and
Huerta
,
A.
,
2003
,
Finite Element Methods for Flow Problems
,
Wiley
,
New York
.
33.
Colin
,
O.
, and
Rudgyard
,
M.
,
2000
, “
Development of High-Order Taylor–Galerkin Schemes for Unsteady Calculations
,”
J. Comput. Phys.
,
162
(
2
), pp.
338
371
.10.1006/jcph.2000.6538
34.
Sheard
,
G. J.
,
Fitzgerald
,
M. J.
, and
Ryan
,
K.
,
2009
, “
Cylinders With Square Cross-Section: Wake Instabilities With Incidence Angle Variation
,”
J. Fluid Mech.
,
630
, pp.
43
69
.10.1017/S0022112009006879
35.
Poinsot
,
T.
, and
Lele
,
S.
,
1992
, “
Boundary Conditions for Direct Simulations of Compressible Viscous Flows
,”
J. Comput. Phys.
,
101
(
1
), pp.
104
129
.10.1016/0021-9991(92)90046-2
36.
Jeong
,
J.
, and
Hussain
,
F.
,
2005
, “
On the Identification of a Vortex
,”
J. Fluid Mech.
,
285
, pp.
308
323
.10.1017/S0022112095000462
You do not currently have access to this content.