Eulerian versus Lagrangian simulation of unsteady two-way coupled coalescing two-phase flows in solid propellant combustion

François Doisneau (1, 2) , Joel Dupays (2) , Angelo Murrone (3) , Frédérique Laurent (1) , Marc Massot (1, 4, 5)

1 EM2C - Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion
2 ONERA - The French Aerospace Lab [Palaiseau]
3 ONERA - The French Aerospace Lab [Châtillon]
4 FR3487 - Fédération de Mathématiques de l'Ecole Centrale Paris
5 CTR - Center for Turbulence Research [Stanford]

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 sizesorted 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 CEDRE's 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.

Mots clés: Combustion; Solid rocket motor; Eulerian Multi-Fluid; Coalescence; Moderately dense spray

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

François Doisneau, Joel 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, 2013, 341, pp.44-54. ⟨10.1016/j.crme.2012.10.005⟩. ⟨hal-00875654⟩