Mathematica 9 is now available

Wolfram Library Archive


Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings
Title

Modeling of Combustion of Gaseous Sphere Using Mathematica
Authors

R. Rehm
H. Baum
Journal / Anthology

Proceedings of Modeling in Combustion Science
Year: 1994
Page range: 209-220
Description

Transient combustion of a gaseous sphere of fuel is examined in the flame-sheet limit. The gas is considered thermally expandable, the Lewis numbers are taken as unity and a temperature-dependent thermal diffusivity is allowed. Evaluation of some approximations used in forming the model are evaluated by examining a spherical, nonlinear thermal conduction problem first. Mathematica is used to solve the PDEs arising from both problems by a Method of Lines. The solutions for the combustion problem show the expansion and subsequent collapse of the flame-sheet trajectory, the sharp initial temperature spike at the flame front and its later diffusive spreading, and the early peaked expansion velocity, followed by a double humped velocity profile.
Subject

*Science > Physics > Thermodynamics and Statistical Mechanics