Comptes Rendus
Combustion, flow and spray dynamics for aerospace propulsion
Eulerian versus Lagrangian simulation of unsteady two-way coupled coalescing two-phase flows in solid propellant combustion
Comptes Rendus. Mécanique, Volume 341 (2013) no. 1-2, pp. 44-54.

Solid rocket motor flows depend strongly on alumina granulometry, which spreads up with coalescence. Solving droplet sizes in unsteady flows is a modeling and numerical challenge, specially when high loadings generate retrocoupling. As an alternative to Lagrangian approaches, the Eulerian Multi-Fluid model describes polydispersity with size-sorted droplet fluids called sections. A two size moment method, that spares sections, is implemented in the CEDRE code. A new transport and coupling method allows to capture moderately dense spray structures with low diffusion. The aim is threefold: compare CEDREʼs Lagrangian and new Eulerian two-phase approaches, prove the feasibility of unsteady and complex motor flow simulations, and show the effect of coalescence on instabilities.

Lʼécoulement dʼun moteur à propergol solide dépend fortement de la granulométrie dʼalumine, qui sʼétale avec la coalescence. Résoudre la taille des gouttes dans les écoulements instationnaires est un défi numérique et de modélisation, surtout quand les forts chargements génèrent du retrocouplage. Une alternative à lʼapproche lagrangienne est le modèle Multi-Fluide eulérien qui décrit la polydispersion en résolvant des fluides de gouttes triés par tailles, appelés sections. Une méthode à deux moments en taille, qui économise des sections, est implémentée dans le code CEDRE. Une nouvelle méthode pour le transport et le couplage permet de capturer les structures des sprays modérément denses avec une diffusion faible. Lʼobjectif est triple : comparer les approches diphasiques lagrangienne et eulérienne améliorée de CEDRE, prouver la faisabilité de simulations dʼécoulements complexes dans les moteurs et exhiber lʼeffet de la coalescence sur les instabilités.

Published online:
DOI: 10.1016/j.crme.2012.10.005
Keywords: Combustion, Solid rocket motor, Eulerian multi-fluid, Coalescence, Moderately dense spray
Mot clés : Combustion, Moteur à propergol solide, Multi-fluide eulérien, Coalescence, Spray modérément dense

François Doisneau 1, 2, 3; Joël Dupays 1; Angelo Murrone 1; Frédérique Laurent 2, 3; Marc Massot 2, 3, 4

1 ONERA, Département dʼénergétique fondamentale et appliquée (DEFA), BP 81000, 91120 Palaiseau cedex, France
2 CNRS, UPR 288, laboratoire EM2C, grande voie des vignes, 92295 Châtenay-Malabry cedex, France
3 Ecole centrale Paris (ECP), grande voie des vignes, 92295 Châtenay-Malabry cedex, France
4 Center for Turbulence Research (CTR), Stanford University, CA 94305-4035, USA
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François Doisneau; Joël Dupays; Angelo Murrone; Frédérique Laurent; Marc Massot. Eulerian versus Lagrangian simulation of unsteady two-way coupled coalescing two-phase flows in solid propellant combustion. Comptes Rendus. Mécanique, Volume 341 (2013) no. 1-2, pp. 44-54. doi : 10.1016/j.crme.2012.10.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.10.005/

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