no. 11-12
Mathematical Problems in Mechanics
A moment method for polydisperse sprays
[Une méthode de moments pour la modélisation des sprays polydisperses]

Présenté par : Olivier Pironneau

Schneider, Lukas1  ; Le Lostec, Nechtan2 ; Villedieu, Philippe2 ; Sadiki, Amsini1
1 TU Darmstadt, EKT, Petersenstrasse 30, 64287 Darmstadt, Germany
2 ONERA, 2, avenue Edouard-Belin, 31055 Toulouse, France
Comptes Rendus. Mathématique, Tome 347 (2009) no. 11-12, pp. 691-696.

Dans cette Note, nous proposons une nouvelle méthode de moments pour la modélisation des sprays, permettant de traiter des situations de fort déséquilibre, dans lesquelles la fonction de distribution caractérisant le brouillard est localement multimodale vis à vis de la taille ou de la vitesse des gouttes. Cette méthode a été appliquée avec succès aux cas de l'éclaboussement d'un spray sur une paroi et du croisement de deux jets de granulométries différentes.

This Note outlines a new moment method to solve the kinetic spray equation, which is the basic mathematical model used to predict the behaviour of polydisperse sprays. The method was successfully applied to the test-cases of spray-wall impingement and crossing of two spray jets that were affected by the Stokes drag force. Lagrangian computations of the same test-cases were used as reference solutions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.03.023
Schneider, Lukas 1 ; Le Lostec, Nechtan 2 ; Villedieu, Philippe 2 ; Sadiki, Amsini 1

1 TU Darmstadt, EKT, Petersenstrasse 30, 64287 Darmstadt, Germany
2 ONERA, 2, avenue Edouard-Belin, 31055 Toulouse, France 
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Schneider, Lukas; Le Lostec, Nechtan; Villedieu, Philippe; Sadiki, Amsini. A moment method for polydisperse sprays. Comptes Rendus. Mathématique, Tome 347 (2009) no. 11-12, pp. 691-696. doi : 10.1016/j.crma.2009.03.023. http://archive.numdam.org/articles/10.1016/j.crma.2009.03.023/

[1] Desjardins, O.; Fox, R.O.; Villedieu, P. A quadrature-based moment method for dilute fluid-particle flows, J. Comp. Phys., Volume 227 (2008) no. 4, pp. 2514-2539

[2] Dufour, G.; Villedieu, P. The sectional method revisited for evaporating sprays, M2AN Math. Model. Numer. Anal., Volume 39 (2005) no. 5, pp. 931-936

[3] A. Kaufmann, Towards Eulerian–Eulerian large eddy simulation of reactive two-phase flows, Ph.D. Thesis, Institute National Polytechnique de Toulouse, 2004

[4] Laurent, F.; Massot, M. Multi-fluid modelling of laminar polydisperse spray flames: origin, assumptions and comparison of sectional and sampling methods, Combust. Theory Modelling, Volume 5 (2001) no. 4, pp. 537-572

[5] Laurent, F.; Massot, M.; Villedieu, P. Eulerian multi-fluid modelling for the numerical simulation of coalescence in polydisperse dense liquid sprays, J. Comput. Phys., Volume 194 (2004) no. 2, pp. 505-543

[6] Rüger, M.; Hohmann, S.; Sommerfeld, M.; Kohnen, G. Euler/Lagrange calculations of turbulent sprays: the effect of droplet collisions and coalescence, Atomization Sprays, Volume 10 (2000) no. 1

[7] L. Schneider, N. Le Lostec, P. Villedieu, A. Sadiki, A moment method for evaporation and splashing processes of polydisperse sprays, Int. J. Multiphase Flow, submitted for publication

[8] Williams, F.A. Spray combustion and atomization, Phys. Fluids, Volume 1 (1958), pp. 541-545

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