MATHEMATICAL MODEL FOR THE EVAPORATION OF A LIQUID FUEL DROPLET, SUBJECT TO NONLINEAR CONSTRAINTSReport as inadecuate




MATHEMATICAL MODEL FOR THE EVAPORATION OF A LIQUID FUEL DROPLET, SUBJECT TO NONLINEAR CONSTRAINTS - Download this document for free, or read online. Document in PDF available to download.

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

Abstract : 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.

Keywords : Hyperbolic system droplet radius nonlinear parabolic equation





Author: Radjaverane Alexandre - Long Nguyen Thanh - Alain Pham Ngoc Dinh -

Source: https://hal.archives-ouvertes.fr/



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