Mean velocity profiles of two-dimensional fully developed turbulent flows

Carmine Di Nucci; Aniello Russo Spena

doi:10.1016/j.crme.2012.09.004

Mean velocity profiles of two-dimensional fully developed turbulent flows
[Distribution de la vitesse moyenne dans un écoulement bidimensionnel turbulent]

Carmine Di Nucci ¹ ; Aniello Russo Spena ¹

¹ Dipartimento di Ingegneria Civile, Edile-Architettura, Ambientale, University of LʼAquila, 67100 LʼAquila, Italy

Comptes Rendus. Mécanique, Volume 340 (2012) no. 9, pp. 629-640.

Résumé
Abstract

Un modèle de turbulence a été développé pour représenter la distribution de la vitesse moyenne locale dans un écoulements bidimensionnel turbulent. Le modèle proposé permet de décrire la distribution de la vitesse moyenne (en fonction du nombre de Reynolds) dans un canal lisse à section rectangulaire très large. Le modèle permet aussi dʼévaluer lʼépaisseur de la sous-couche visqueuse, la viscosité turbulente et le coefficient de frottement local.

Le modèle proposé a été vérifié avec succès en utilisant les distributions de la vitesse disponibles dans la littérature et obtenues par intégration numérique directe des équations de Navier–Stokes (DNS).

In the work presented in this Note, an Indirect Turbulence Model (ITM) is proposed to derive the mean velocity profiles in wall-bounded flows in hydraulically smooth channels having a very wide rectangular cross section. The analytical expression of the mean velocity distribution is given. The connection between the velocity distribution parameters and Reynoldsʼ number is indicated. The thickness of the viscous sublayer is evaluated. The skin friction coefficient is computed, and the analytical expression of the turbulent viscosity coefficient is provided.

The validity of the proposed model is verified with reference to the velocity distributions, available in the literature, obtained with Direct Numerical Simulation (DNS) of Navier–Stokesʼ equations.

Reçu le : 2012-05-14
Accepté le : 2012-09-11
Publié le : 2012-09-01

DOI : 10.1016/j.crme.2012.09.004

Keywords: Fluid mechanics, Turbulent wall-bounded flows, Channel flows
Mot clés : Mécanique des fluides, Écoulement bidimensionnel turbulent

Affiliations des auteurs :

Carmine Di Nucci ¹ ; Aniello Russo Spena ¹

¹ Dipartimento di Ingegneria Civile, Edile-Architettura, Ambientale, University of LʼAquila, 67100 LʼAquila, Italy

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     title = {Mean velocity profiles of two-dimensional fully developed turbulent flows},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {629--640},
     publisher = {Elsevier},
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     number = {9},
     year = {2012},
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     language = {en},
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Carmine Di Nucci; Aniello Russo Spena. Mean velocity profiles of two-dimensional fully developed turbulent flows. Comptes Rendus. Mécanique, Volume 340 (2012) no. 9, pp. 629-640. doi : 10.1016/j.crme.2012.09.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.09.004/

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