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A SPRAY COMBUSTION PROBLEM
Journal article

A SPRAY COMBUSTION PROBLEM

  • POULY, L. Department of Mathematics, Swiss Federal Institute of Technology, 1015 Lausanne, Switzerland
  • POUSIN, J. Department of Mathematics, Swiss Federal Institute of Technology, 1015 Lausanne, Switzerland
  • 2011-11-21
Published in:
  • Mathematical Models and Methods in Applied Sciences. - World Scientific Pub Co Pte Lt. - 1994, vol. 04, no. 02, p. 237-249
Modelling and Simulation
Applied Mathematics
English In this work, we investigate a mathematical model of a spray combustion problem and we prove an existence and uniqueness result for the time-dependent problem. We consider the vaporization of a polydisperse fuel spray of droplets in an oxidative medium, and we assume that the evaporated fuel is immediately consumed and gives off heat. The mathematical model arising from this combustion problem is a coupled system of three partial differential equations. By using the standard method of successive approximations we prove that the system has a unique solution. Moreover, we prove the existence of a front of vaporization, and we show that the mass rate of evaporated droplets decreases when the size of droplets increases.
Language
  • English
Open access status
closed
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Persistent URL
https://sonar.ch/global/documents/231162
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