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Special Section Articles

Large Eddy Simulations of Thermal Boundary Layer Spatial Development in a Turbulent Channel Flow

[+] Author and Article Information
Marc Sanchez

University of Perpignan Via Domitia,
PROMES CNRS UPR 8521,
Tecnosud-Rambla de la Thermodynamique,
Perpignan 66100, France
e-mail: marc.sanchez@promes.cnrs.fr

Frédéric Aulery

University of Perpignan Via Domitia,
PROMES CNRS UPR 8521,
Tecnosud-Rambla de la Thermodynamique,
Perpignan 66100, France
e-mail: frederic.aulery@promes.cnrs.fr

Adrien Toutant

Associate Professor
University of Perpignan Via Domitia,
PROMES CNRS UPR 8521,
Tecnosud-Rambla de la Thermodynamique,
Perpignan 66100, France
e-mail: adrien.toutant@univ-perp.fr

Françoise Bataille

PROMES CNRS UPR 8521,
Department of Mathematics,
Florida State University,
Thallahassee, FL 32306
e-mail: francoise.bataille@me.com

Contributed by the Fluids Engineering Division of ASME for publication in the Journal of Fluids Engineering. Manuscript received November 21, 2012; final manuscript received June 11, 2013; published online April 28, 2014. Assoc. Editor: Ye Zhou.

J. Fluids Eng 136(6), 060906 (Apr 28, 2014) (12 pages) Paper No: FE-12-1589; doi: 10.1115/1.4024809 History: Received November 21, 2012; Revised June 11, 2013

This article presents Large Eddy Simulations of thermal boundary layer spatial development in a low-Mach number turbulent channel flow. A coupling between isothermal biperiodic channel and anisothermal open channel is done to obtain a fully developed turbulent inlet. The interaction between a high temperature gradient and a turbulent flow is studied during the thermal boundary layer development. Turbulence and temperature quantities are analyzed for both streamwise and wall-normal directions. The results show how the asymmetrical heating modifies the velocity of the flow. The correlation between turbulence and heat transfers is studied. The mean and the fluctuation profiles are found to be asymmetrical. They evolve along the channel and are perturbed by the thermal gradient. Fluctuation destruction and creation areas in the length of the channel are highlighted.

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Figures

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Fig. 1

Coupling between the biperiodic isothermal channel and the open anisothermal channel

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Fig. 2

Streamwise mean velocity

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Fig. 3

Velocity fluctuations

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Fig. 4

Streamwise mean velocity with different scalings: (a) semilocal scaling, (b) classical scaling with Nicoud [2], and (c) Van Driest scaling (hot side)

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Fig. 5

Wall-normal mean velocity with different scalings: (a) semilocal scaling and (b) classical scaling and equivalent transpiration velocity (lines) plotted at the hot side

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Fig. 6

Streamwise velocity fluctuations with different scalings: (a) semilocal scaling and (b) classical scaling

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Fig. 7

Semilocal scaled wall-normal velocity fluctuations and spanwise velocity fluctuations: (a) semilocal scaled wall-normal velocity and (b) spanwise velocity fluctuations

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Fig. 8

Semilocal scaled correlation between streamwise and wall-normal velocities

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Fig. 9

Mean temperature with different scalings: (a) mean temperature with semilocal scaling and (b) mean temperature with classical scaling

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Fig. 10

Temperature fluctuations with different scalings: (a) temperature fluctuations with semilocal scaling and (b) temperature fluctuations with classical scaling

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Fig. 11

Correlation between streamwise velocity and temperature

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Fig. 12

Streamwise mean velocity

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Fig. 13

Streamwise velocity fluctuations

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Fig. 14

Wall-normal mean velocity

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Fig. 16

Temperature fluctuations

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Fig. 17

y, z, and t averaged temperature

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Fig. 18

Mean Nusselt's number given by simulation (points) and Colburn correlation (lines)

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Fig. 19

Temperature and thermal boundary layer

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Fig. 20

Wall-normal mean velocity

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Fig. 21

Spanwise velocity

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Fig. 22

Turbulent kinetic energy

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Fig. 23

Root mean squared temperature

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Fig. 24

Correlation between streamwise velocity and temperature

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