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Titre :
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Scaling of the turbulent boundary layer along a flat plate according to different turbulence models
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Auteurs :
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R. Henkes
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Type de document :
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article/chapitre/communication
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Année de publication :
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1998
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Format :
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p.338-347
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Langues :
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= Anglais
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Catégories :
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SCIENCES FONDAMENTALES ET APPLIQUEES
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Mots-clés :
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ECOULEMENT TURBULENT
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MODELISATION
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Résumé :
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At sufficiently large Reynolds number the turbulent boundary layer along a flat plate under zero pressure gradient can be split up in an inner and outer layer. The classical theory says that a law-of-the-wall holds in the inner layer, and a defect law in the outer layer. It is shown that Four different types of commonly used turbulence models (an algebraic, k-epsilon, k-omega and a differential Reynolds-stress model) all reproduce the classical similarity scalings for Re-theta above about 10(4). This was verified by numerically solving the turbulent boundary-layer equations for Reynolds numbers (based on the momentum-loss thickness) in between 300 and 5 x 10(7). The boundary-layer solution in the outer layer is shown to converge to the similarity solution of a defect-layer equation. NI turbulence models considered give a wall function and defect law that is close to Direct Numerical Simulations of Spalart (1988) and new high-Reynolds-number experiments by Fernholz et al. (1995). An exception is the algebraic model that gives a too thin boundary layer.
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Source :
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International journal of heat and fluid flow, vol 19
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