Abstract
The problem of the head-on collision of two planar premixed flame fronts is considered using the idealized model of a single step reaction controlled by the deficient species and an Arrhenius reaction law. Density changes are neglected. It is shown that a similarity solution exists if the deficient species and temperature are equidiffusive (Lewis number unity). The similarity solution, derived using activation energy asymptotics, is valid in the intermediate region when the flames are close enough that their pre-heat zones overlap but their reaction zones may be considered to be well separated. A one-dimensional numerical simulation shows good agreement with the analytical solution.
Original language | English (US) |
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Pages (from-to) | 645-652 |
Number of pages | 8 |
Journal | Combustion Theory and Modelling |
Volume | 7 |
Issue number | 4 |
DOIs | |
State | Published - Dec 2003 |
Funding
This work was supported by the NSF under grant CTS-0121051. The authors are grateful to Luc Vervisch for providing a computer code that was modified to perform the numerical simulations reported in this paper.
ASJC Scopus subject areas
- General Chemistry
- General Chemical Engineering
- Modeling and Simulation
- Fuel Technology
- Energy Engineering and Power Technology
- General Physics and Astronomy