Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-10T13:59:01.779Z Has data issue: false hasContentIssue false
  • English
  • Français

Recent Mathematical Results on Combustion in Hydraulically Resistant Porous Media

Published online by Cambridge University Press:  15 June 2008

P. Gordon
P. Gordon*
Affiliation:
Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, Newark, NJ 07102
*
peterg@njit.edu
Get access

Abstract

Gaseous detonation is a phenomenon with very complicated dynamics which has been studied extensively by physicists, mathematicians and engineers for many years. Despite many efforts the problem is far from a complete resolution. Recently the theory of subsonic detonation that occurs in highly resistant porous media was proposed in [4]. This theory provides a model which is realistic, rich and suitable for a mathematical study. In particular, the model is capable of describing the transition from a slowly propagating deflagration wave to the fast detonation wave. This phenomena is known as a deflagration to detonation transition and is one of the most challenging issues in combustion theory. In this paper we will present some recent mathematical results concerning initiation of reaction in porous media, existence and uniqueness of traveling fronts, quenching and propagation.

Keywords

subsonic detonationdeflagration to detonation transitiontraveling frontsquenching
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 2 , Issue 2: Reaction-diffusion waves , 2007 , pp. 56 - 76
Copyright
© EDP Sciences, 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)