MATHEMATICAL MODEL FOR THE EVAPORATION OF A LIQUID FUEL DROPLET, SUBJECT TO NONLINEAR CONSTRAINTS

Radjaverane Alexandre (1) , Long Nguyen Thanh (2) , Alain Pham Ngoc Dinh (3)

1 Département de Mathématiques (Evry)
2 Department of Mathematics and Computer Science
3 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

We study the mathematical evolution of a liquid fuel droplet inside a vessel. In particular, we analyze the evolution of the droplet radius on a finite time interval. The model problem involves an hyperbolic system coupled with the pressure and velocity of the surrounding gas. Existence of bounded solutions for the mass fraction of the liquid, submitted to nonlinear constraints, is shown. Numerical simulations are given, in agreement with known physical experiments.

Mots clés: Hyperbolic system; droplet radius; nonlinear parabolic equation

Domaines: Equations aux dérivées partielles [math.AP]

Radjaverane Alexandre, Long Nguyen Thanh, Alain Pham Ngoc Dinh. MATHEMATICAL MODEL FOR THE EVAPORATION OF A LIQUID FUEL DROPLET, SUBJECT TO NONLINEAR CONSTRAINTS. Applied Mathematics and Computation, 2008, 199, pp.139-154. ⟨hal-00079255v2⟩