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A second order turbulence model for the prediction of air movement and heat transfer in a ventilated room

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Abstract

A full-scale test room is used to investigate experimentally and numerically the velocity and temperature fields in the case of a mechanical ventilation. Detailed fields are measured for three cases of ventilation air temperature: an isothermal case, a hot case, and a cold case. The experimental data are used to test two turbulence models: a first order k-ε realizable turbulence model and a second order quadratic RSM (Reynolds Stress Model) turbulence model. The RSM model predicts the temperature and velocity fields better than the k-ε turbulence model. In particular, global values of velocity and temperature coming from experiments are in good agreement with the RSM turbulence model. This conclusion is confirmed using a turbulence analysis based on Lumley triangles.

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Abbreviations

Ar :

Archimede number

D :

flow rate (m3/h)

d :

inlet diameter (m)

g :

acceleration due to gravity (m/s2)

k :

turbulent kinetic energy (m2/s2)

Pr :

Prandtl number

Re :

Reynolds number

R ij :

Reynolds-stress tensor component (m2/s2)

T :

mean temperature (K)

U :

mean velocity magnitude (m/s)

u′ i :

velocity fluctuation component (m/s)

x, y, z :

coordinate (m)

β :

coefficient of thermal expansion (K−1)

µ :

dynamic viscosity (Pa·s)

ν :

kinematic viscosity (m2/s)

ε :

dissipation rate of k (m2/s3)

ρ :

mass density (kg/m3)

II, III :

original Lumley invariants

II*, III*:

modified Lumley invariants

\( \overline {( )} \) :

time average

in:

inlet

m:

mean

M:

maximum

t:

turbulent

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Authors and Affiliations

  1. Thermal Sciences Center of Lyon, UMR 5008, CNRS, INSA-Lyon, Université Lyon 1, Bât. Freyssinet, 20 rue de la Physique, 69100, Villeurbanne, France

    Frédéric Kuznik, Gilles Rusaouen & Jean Brau

Authors
  1. Frédéric Kuznik
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  2. Gilles Rusaouen
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  3. Jean Brau
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Correspondence to Frédéric Kuznik.

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Kuznik, F., Rusaouen, G. & Brau, J. A second order turbulence model for the prediction of air movement and heat transfer in a ventilated room. Build. Simul. 1, 72–82 (2008). https://doi.org/10.1007/s12273-008-8308-4

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  • DOI: https://doi.org/10.1007/s12273-008-8308-4

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