MATHEMATICAL MODEL FOR THE EVAPORATION OF A LIQUID FUEL DROPLET, SUBJECT TO NONLINEAR CONTRAINTS
Résumé
We study the mathematical evolution of a liquid fuel droplet inside a vessel. In particular, we give the radius evolution of the droplet on a finite time interval, starting from a hyperbolic system involving the pressure and the velocity of the surrounding gas. Existence of bounded solutions for the mass fraction of the liquid, submitted to nonlinear contraints, is shown. Numerical simulations are given, in agreement with known physical experiments.