Modélisation multi-fluide eulérienne pour la simulation de brouillards denses polydispersés

In this Note, we derive from the kinetic level a Eulerian multi-fluid model for the simulation of polydisperse dense sprays of vaporizing liquid droplets. This yields an extension of the sectional method developed by Tambour et al. and justified by Laurent et al., to dense sprays where droplets of various sizes, and various velocities due to varying inertia, can coalesce. The velocity partial collisional integrals are first evaluated on Gaussian distribution of velocity and covering the whole range of droplet sizes. The final model is obtained by letting the velocity dispersion go to zero, allowing the collisional integrals to be pre-calculated.