Study of an Advection-Reaction-Diffusion equation in a compressible flow field
Fluid Dynamics
2011-04-07 v1
Abstract
We have studied the front propagation in a one dimensional case of combustion by solving numerically an advection-reaction-diffusion equation. The physical model is simplified so that no coupling phenomena are considered and the reacting fluid is a binary mixture of gases. The compressible flow field is given analytically. We analyse the differences between popular models used in fundamental studies of compressible combustion and biological problems. Then, we investigate the effects of compressibility on the front interface dynamics for different reaction types and we characterise the conditions for which the reaction stops before its completion.
Keywords
Cite
@article{arxiv.1104.1052,
title = {Study of an Advection-Reaction-Diffusion equation in a compressible flow field},
author = {Federico Bianco and Sergio Chibbaro and Roger Prud'homme},
journal= {arXiv preprint arXiv:1104.1052},
year = {2011}
}
Comments
6 pages, 13 figures. Presented at: 'Rencontre du non lin\'eaire', Paris (16-18 mars 2011)