On the accuracy of analytical methods for turbulent flows near smooth walls

Rafik Absi; Carmine Di Nucci

doi:10.1016/j.crme.2012.09.001

On the accuracy of analytical methods for turbulent flows near smooth walls

Rafik Absi ¹ ; Carmine Di Nucci ²

¹ EBI, Inst. Polytech. St-Louis, UPGO – Université Paris Grand Ouest, 32 Bd du Port, 95094 Cergy-Pontoise Cedex, France
² Dipartimento di Ingegneria delle Strutture, delle Acque e del Terreno, University of LʼAquila, 67040 LʼAquila, Italy

Comptes Rendus. Mécanique, Volume 340 (2012) no. 9, pp. 641-645.

Résumé

This Note presents two methods for mean streamwise velocity profiles of fully-developed turbulent pipe and channel flows near smooth walls. The first is the classical approach where the mean streamwise velocity is obtained by solving the momentum equation with an eddy viscosity formulation [R. Absi, A simple eddy viscosity formulation for turbulent boundary layers near smooth walls, C. R. Mecanique 337 (2009) 158–165]. The second approach presents a formulation of the velocity profile based on an analogy with an electric field distribution [C. Di Nucci, E. Fiorucci, Mean velocity profiles of fully-developed turbulent flows near smooth walls, C. R. Mecanique 339 (2011) 388–395] and a formulation for the turbulent shear stress. However, this formulation for the turbulent shear stress shows a weakness. A corrected formulation is presented. Comparisons with DNS data show that the classical approach with the eddy viscosity formulation provides more accurate profiles for both turbulent shear stress and velocity gradient.

Reçu le : 2012-07-20
Accepté le : 2012-09-07
Publié le : 2012-09-01

DOI : 10.1016/j.crme.2012.09.001

Mots clés : Fluid mechanics, Turbulence, DNS

Affiliations des auteurs :

Rafik Absi ¹ ; Carmine Di Nucci ²

¹ EBI, Inst. Polytech. St-Louis, UPGO – Université Paris Grand Ouest, 32 Bd du Port, 95094 Cergy-Pontoise Cedex, France
² Dipartimento di Ingegneria delle Strutture, delle Acque e del Terreno, University of LʼAquila, 67040 LʼAquila, Italy

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     title = {On the accuracy of analytical methods for turbulent flows near smooth walls},
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     pages = {641--645},
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     number = {9},
     year = {2012},
     doi = {10.1016/j.crme.2012.09.001},
     language = {en},
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Rafik Absi; Carmine Di Nucci. On the accuracy of analytical methods for turbulent flows near smooth walls. Comptes Rendus. Mécanique, Volume 340 (2012) no. 9, pp. 641-645. doi : 10.1016/j.crme.2012.09.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.09.001/

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