Mean velocity profiles of fully-developed turbulent flows near smooth walls

C. Di Nucci; E. Fiorucci

doi:10.1016/j.crme.2011.05.001

Mean velocity profiles of fully-developed turbulent flows near smooth walls
[Distribution de la vitesse moyenne près de la paroi lisse dans un écoulement turbulent]

C. Di Nucci ¹ ; E. Fiorucci ²

¹ Dipartimento di Ingegneria delle Strutture, delle Acque e del Terreno, University of LʼAquila, 67040 LʼAquila, Italy
² Dipartimento di Ingegneria Elettrica e dellʼInformazione, University of LʼAquila, 67040 LʼAquila, Italy

Comptes Rendus. Mécanique, Volume 339 (2011) no. 6, pp. 388-395.

Résumé
Abstract

Un modèle de turbulence a été développé pour représenter la distribution de la vitesse moyenne locale dans les écoulements uniformes turbulents. Le modèle proposé permet de décrire la distribution de la vitesse moyenne (en fonction du nombre de Reynolds) près de la paroi lisse dʼun canal à section rectangulaire très large. Il est démontré que lʼexpression proposée est conforme aux principes de lʼanalyse dimensionnelle ; elle permet de satisfaire les conditions aux limites imposées au problème ; elle permet de reproduire, dans les zones près de la paroi, les distributions de la vitesse disponibles dans la littérature et obtenues par intégration numérique directe des équations de Navier–Stokes (DNS).

The work proposes an indirect turbulence model to represent the mean streamwise velocity profile of fully-developed turbulent channel flows near smooth walls. The proposed turbulence model highlights that the parameters of the velocity distribution are functions of the friction Reynolds number. It is also shown that the proposed expression for the velocity distribution is in line with the principles of dimensional analysis; it allows one to satisfy the imposed boundary conditions; in the regions close to the wall it allows to reproduce (with good agreement) the velocity profiles available in literature obtained through a Direct Numerical Simulation (DNS).

Reçu le : 2010-10-26
Accepté le : 2011-05-02
Publié le : 2011-05-20

DOI : 10.1016/j.crme.2011.05.001

Keywords: Fluid mechanics, Turbulent wall-bounded flows, Channel flows
Mot clés : Mécanique des fluids, Ecoulements turbulents près dʼune paroi lisse

Affiliations des auteurs :

C. Di Nucci ¹ ; E. Fiorucci ²

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     author = {C. Di Nucci and E. Fiorucci},
     title = {Mean velocity profiles of fully-developed turbulent flows near smooth walls},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {388--395},
     publisher = {Elsevier},
     volume = {339},
     number = {6},
     year = {2011},
     doi = {10.1016/j.crme.2011.05.001},
     language = {en},
}

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C. Di Nucci; E. Fiorucci. Mean velocity profiles of fully-developed turbulent flows near smooth walls. Comptes Rendus. Mécanique, Volume 339 (2011) no. 6, pp. 388-395. doi : 10.1016/j.crme.2011.05.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2011.05.001/

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