A minimal model for end-gas autoignition

Abstract

A highly reduced zero-dimensional model for deflagrative combustion occurring in a closed vessel is formulated and analysed. It is shown that progressive compression of the unburned gas (end-gas) induced by thermal expansion of the burned gas may result in end-gas autoignition, provided the vessel is large enough.

Keywords:

• end-gas autoignition
• knocking combustion
• activation energy asymptotics

Acknowledgements

These studies were supported in part by the US–Israel Binational Science Foundation (Grant 2006-151), and the Israel Science Foundation (Grant 32/09).