Research Papers: Forced Convection

Large Eddy Simulation of Flow and Heat Transfer Around Two Square Cylinders in a Tandem Arrangement

[+] Author and Article Information
F. Duchaine

42 Avenue Coriolis,
Toulouse Cedex 01 31 057, France
e-mail: florent.duchaine@cerfacs.fr

M. Boileau

42 Avenue Coriolis,
Toulouse Cedex 01 31 057, France

Y. Sommerer

AIRBUS Operations,
EDET30 Engine and Nacelle Integration,
316 Route de Bayonne,
Toulouse Cedex 09 31060, France

T. Poinsot

IMF Toulouse,
INP de Toulouse and CNRS,
Toulouse 31400, France

1Corresponding author.

2Present address: Laboratoire EM2C-CNRS, Ecole Centrale Paris, Châtenay Malabry 92295, France.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 9, 2013; final manuscript received June 19, 2014; published online July 15, 2014. Assoc. Editor: Phillip M. Ligrani.

J. Heat Transfer 136(10), 101702 (Jul 15, 2014) (10 pages) Paper No: HT-13-1009; doi: 10.1115/1.4027908 History: Received January 09, 2013; Revised June 19, 2014

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.

Copyright © 2014 by ASME
Your Session has timed out. Please sign back in to continue.


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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
Igarashi, T., 1985, “Heat Transfer From a Square Prism to an Air Stream,” Int. J. Heat Mass Transfer, 28(1), pp. 175–181. [CrossRef]
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. [CrossRef]
Takeuchi, T., and Matsumoto, M., 1992, “Aerodynamic Response Characteristics of Rectangular Cylinders in Tandem Arrangement,” J. Wind Eng. Ind. Aerodyn., 41, pp. 565–576. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
Sagaut, P., 2000, Large Eddy Simulation for Incompressible Flows (Scientific Computation Series), Springer-Verlag, Heidelberg.
Moin, P., 2002, “Advances in Large Eddy Simulation Methodology for Complex Flows,” Int. J. Heat Fluid Flow, 23(5), pp. 710–720. [CrossRef]
Poinsot, T., and Veynante, D., 2005, Theoretical and Numerical Combustion, 2nd ed., R. T. Edwards, Inc.
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
Ferziger, J. H., and Perić, M., 1997, Computational Methods for Fluid Dynamics, Springer-Verlag, Berlin.
Smagorinsky, J., 1963, “General Circulation Experiments With the Primitive Equations: 1. The Basic Experiment.,” Mon. Weather Rev., 91, pp. 99–164. [CrossRef]
Pope, S. B., 2000, Turbulent Flows, Cambridge University, Cambridge, UK.
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. [CrossRef]
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.
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. [CrossRef]
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. [CrossRef]
Donea, J., and Huerta, A., 2003, Finite Element Methods for Flow Problems, Wiley, New York.
Colin, O., and Rudgyard, M., 2000, “Development of High-Order Taylor–Galerkin Schemes for Unsteady Calculations,” J. Comput. Phys., 162(2), pp. 338–371. [CrossRef]
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. [CrossRef]
Poinsot, T., and Lele, S., 1992, “Boundary Conditions for Direct Simulations of Compressible Viscous Flows,” J. Comput. Phys., 101(1), pp. 104–129. [CrossRef]
Jeong, J., and Hussain, F., 2005, “On the Identification of a Vortex,” J. Fluid Mech., 285, pp. 308–323. [CrossRef]


Grahic Jump Location
Fig. 1

Global view of the computational domain and boundary conditions. Vol. #1 and Vol. #2 refer to volumes of size 2D × 4D in XY plane used for diagnostics.

Grahic Jump Location
Fig. 2

(a) Side view of the computational grid. (b) Zoom on the five layers of prismatic elements at the surface of the cylinders.

Grahic Jump Location
Fig. 3

Definition of the cutting lines used to display the profiles

Grahic Jump Location
Fig. 4

Instantaneous isosurface of Q-criterion colored by the temperature (lower temperature in white and higher temperature in dark)

Grahic Jump Location
Fig. 5

Evolution of the vorticity around the tandem during one shedding period on the middle plane

Grahic Jump Location
Fig. 6

Isocontours of streamwise time averaged velocity u¯/U∞ and isoline of zero axial velocity

Grahic Jump Location
Fig. 7

(a) Isocontours of streamwise fluctuating velocity u'/U∞, (b) isocontours of transverse fluctuating velocity v'/U∞

Grahic Jump Location
Fig. 8

Time-averaged profiles of pressure coefficient, C¯p around the two cylinders of the LES compared to isolated cylinder [1,4]

Grahic Jump Location
Fig. 9

(a) Time-averaged wall Reynolds number y+ and (b) time-averaged profiles of friction coefficient Cf around the two cylinders

Grahic Jump Location
Fig. 10

Transverse profiles of time-averaged streamwise velocity, u¯/U∞, on the upper face of the cylinders (cuts X/D = -0.5 to X/D = 0.5 of Fig. 3): experimental results from an isolated cylinder [2] (○), upstream (–) and downstream (– –) cylinders of the present LES

Grahic Jump Location
Fig. 11

Transverse profiles of time-averaged streamwise velocity fluctuation, u'/U∞, on the upper face of the cylinders (cuts X/D = -0.5 to X/D = 0.5 of Fig. 3): experimental results from an isolated cylinder [2] (○), upstream (–) and downstream (– –) cylinders of the present LES

Grahic Jump Location
Fig. 12

(a) Longitudinal profiles of time-averaged streamwise velocity, u¯/U∞, in the wake of the cylinders (cut Y0 of Fig. 3). Longitudinal profiles of time-averaged streamwise, u'/U∞ (b), and transverse, v'/U∞ (c), velocity fluctuations in the wake of the cylinders. Comparison with experimental data measure on an isolated cylinder [2] and on a tandem [8,14].

Grahic Jump Location
Fig. 13

Time-averaged profiles of wall Nusselt number Nu¯, profiles around the cylinder walls: Comparison between the cylinders of the LES and experiments on isolated cylinders [4,5] scaled with Eq. (5)



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In