Abstract
In this Note, we first present a model for droplet secondary breakup, in liquid sprays. This model is based on the kinetic theory formalism and uses experimental correlations found in the literature (L.-P. Hsiang, G.M. Faeth, Int. J. Multiphase Flow 19 (5) (1993) 721-735; R. Maxey, J. Riley, Phys. Fluids 26 (4) (1983) 883-889; M. Pilch, C.A. Erdman, Int. J. Multiphase Flow 13 (6) (1987) 741-757) to determine the fragmentation rate and its outcome. We then conduct a mathematical study of the resulting kinetic equation. We prove, under some physically reasonable assumptions, an existence and uniqueness theorem and characterize the long-time behaviour of the solution.
| Translated title of the contribution | Étude d'un modèle de fragmentation secondaire pour les brouillards de gouttelettes |
|---|---|
| Original language | English |
| Pages (from-to) | 447-452 |
| Number of pages | 6 |
| Journal | Comptes Rendus Mathematique |
| Volume | 336 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 Mar 2003 |
| Externally published | Yes |