Evaluation of Reynolds stress MHD turbulence models using decaying homogeneous turbulence

Hamed Marzougui; Taieb Lili

doi:10.1016/j.crhy.2014.05.004

Evaluation of Reynolds stress MHD turbulence models using decaying homogeneous turbulence
[Évaluation de modèles MHD aux tensions de Reynolds en turbulence homogène en déclin]

Hamed Marzougui ¹ ; Taieb Lili ¹

¹ Département de physique, faculté des sciences de Tunis, campus universitaire El Manar, 1060 Tunis, Tunisia

Comptes Rendus. Physique, Volume 15 (2014) no. 6, pp. 509-516.

Résumé
Abstract

Des données issues de simulations numériques directes et d'analyses théoriques relatives à un écoulement turbulent homogène en décroissance libre dans un fluide conducteur sujet à un champ magnétique sont utilisées pour évaluer les modèles de turbulence MHD développés par Widlund et al. et Kenjeres et al. Nous considérons, dans la présente étude, le cas où le nombre de Reynolds magnétique est faible. Ce cas correspond à l'approximation quasi stationnaire. Cette dernière est la plus recommandée dans l'étude des écoulements turbulents industriels. Les résultats de nos calculs montrent la capacité significative du modèle de Widlund et al. à reproduire les effets de la force de Lorentz comparé au modèle de Kenjeres et al.

Direct numerical simulation databases and theoretical analysis for decaying homogeneous turbulent flow in a conducting fluid subjected to an imposed magnetic field are investigated to evaluate the second-order models proposed by Widlund et al. and Kenjeres et al. The case of very small magnetic Reynolds numbers ( ${Re}_{m} ≪ 1$ ) is considered in the present work. This case corresponds to the quasi-static approximation, which is well suited for most industrial flows involving liquid metals. The results obtained from our calculations show the performance of the model of Widlund et al. in predicting the Lorentz force effects compared with the model of Kenjeres et al.

Publié le : 2014-06-01

DOI : 10.1016/j.crhy.2014.05.004

Keywords: Decaying homogeneous turbulence, MHD turbulence, Low magnetic Reynolds number
Mot clés : Écoulement turbulent en décroissance libre, Turbulence MHD, Nombre de Reynolds magnétique faible

Affiliations des auteurs :

Hamed Marzougui ¹ ; Taieb Lili ¹

¹ Département de physique, faculté des sciences de Tunis, campus universitaire El Manar, 1060 Tunis, Tunisia

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     author = {Hamed Marzougui and Taieb Lili},
     title = {Evaluation of {Reynolds} stress {MHD} turbulence models using decaying homogeneous turbulence},
     journal = {Comptes Rendus. Physique},
     pages = {509--516},
     publisher = {Elsevier},
     volume = {15},
     number = {6},
     year = {2014},
     doi = {10.1016/j.crhy.2014.05.004},
     language = {en},
}

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Hamed Marzougui; Taieb Lili. Evaluation of Reynolds stress MHD turbulence models using decaying homogeneous turbulence. Comptes Rendus. Physique, Volume 15 (2014) no. 6, pp. 509-516. doi : 10.1016/j.crhy.2014.05.004. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2014.05.004/

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