Turbulent boundary layer equations

Alexey Cheskidov

doi:10.1016/S1631-073X(02)02275-6

Turbulent boundary layer equations
[Équations de la couche limite turbulente]

Alexey Cheskidov ¹

¹ Department of Mathematics, Indiana University, Rawles Hall, Bloomington, IN 47405, USA

Comptes Rendus. Mathématique, Volume 334 (2002) no. 5, pp. 423-427.

Résumé
Abstract

Nous considérons le problème de la couche limite pour l'α-modèle des équations de Navier–Stokes, obtenant d'abord une généralisation des équations de Prandtl. Notre hypothèse est que les solutions de ces équations représentent l'écoulement moyen dans une partie de la couche limite turbulente. Nous étudions, analytiquement et numériquement, ces solutions pour la plaque plane semi-infinie. Les solutions numériques donnent une très bonne approximation des certaines données expérimentales dans la couche limite turbulente.

We study a boundary layer problem for the Navier–Stokes-alpha model obtaining a generalization of the Prandtl equations which we conjecture to represent the averaged flow in a turbulent boundary layer. We study the equations for the semi-infinite plate, both theoretically and numerically. Solutions agree with some experimental data in a part of the turbulent boundary layer.

Reçu le : 2002-01-14
Accepté le : 2002-01-14
Publié le : 2002-01-01

DOI : 10.1016/S1631-073X(02)02275-6

Affiliations des auteurs :

Alexey Cheskidov ¹

¹ Department of Mathematics, Indiana University, Rawles Hall, Bloomington, IN 47405, USA

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Alexey Cheskidov. Turbulent boundary layer equations. Comptes Rendus. Mathématique, Volume 334 (2002) no. 5, pp. 423-427. doi : 10.1016/S1631-073X(02)02275-6. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02275-6/

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