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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

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

M. Boileau

CERFACS,
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

## Abstract

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.

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## Figures

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.

Fig. 2

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

Fig. 3

Definition of the cutting lines used to display the profiles

Fig. 4

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

Fig. 5

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

Fig. 6

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

Fig. 7

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

Fig. 8

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

Fig. 9

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

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

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

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].

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)

## Errata

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