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First and second order modelling of turbulent scalar transport in homogeneous turbulence

DOI: 10.1615/ICHMT.2006.TurbulHeatMassTransf.730
pages 373-376

H. Ayed
Ecole Nationale d'Ingéde Tunis BPN°37, 1002 Le Belvédère, Tunis, Tunisia; and Institut de Mécanique des fluides de Toulouse, UMR CNRS 5502, Av. C. Soula, 31400, Toulouse, France

Jamel Chahed
Ecole Nationale d'Ingéde Tunis BPN°37, 1002 Le Belvédère, Tunis, Tunisia

Veronique Roig
Institut de Mécanique des fluides de Toulouse, UMR CNRS 5502, Av. C. Soula, 31400, Toulouse, France

Аннотация

The present work aims at developing a full second order model for turbulent transport of a passive scalar. A turbulent Prandtl number formulation is obtained by reducing the second order modelling. A first order turbulence model is than proposed with an algebraic formulation of the turbulent scalar flux. The model is tested in homogeneous shear flow with an imposed mean scalar gradient. The Direct Numerical Simulation (DNS) data by Rogers et al [1] were used in the validation of the first and second order modelling of the turbulent passive scalar transport. The comparison of the numerical results with DNS data shows good agreements.

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