Numerical investigation of flame propagation in a mixture reacting at the initial temperature

1979 ◽  
Vol 15 (6) ◽  
pp. 705-710 ◽  
Author(s):  
A. P. Aldushin ◽  
Ya. B. Zel'dovich ◽  
S. I. Khudyaev
2021 ◽  
Vol 225 ◽  
pp. 468-484
Author(s):  
Xiaojun Zhang ◽  
Chengwei Yuan ◽  
Lei Zhou ◽  
Wanhui Zhao ◽  
Zongkuan Liu ◽  
...  

2018 ◽  
Vol 28 (4) ◽  
pp. 357-388 ◽  
Author(s):  
Yu Haruki ◽  
Abhishek L. Pillai ◽  
Tomoaki Kitano ◽  
Ryoichi Kurose

2018 ◽  
Vol 32 (2) ◽  
pp. 2465-2478 ◽  
Author(s):  
Gan Cui ◽  
Zili Li ◽  
Hongbo Li ◽  
Zhenxiao Bi ◽  
Shun Wang

2012 ◽  
Vol 159 (4) ◽  
pp. 1523-1538 ◽  
Author(s):  
Huahua Xiao ◽  
Dmitriy Makarov ◽  
Jinhua Sun ◽  
Vladimir Molkov

1991 ◽  
Vol 117 (1-2) ◽  
pp. 103-108 ◽  
Author(s):  
Joel D. Avrin

SynopsisWe consider the behaviour at x = ±∞ of solutions to reaction-diffusion equations modelling laminar flames in a premixed reactive gas. We show that if the initial data have limits at ±∞, then the solutions satisfy ODEs at ±∞ for all positive time. We then analyse the qualitative behaviour of solutions to the ODEs. Our applications include extensions of previous results on questions of flame propagation versus extinction, and a new decay result: if the initial temperature is above ignition temperature at one end of the domani and if the initial concentration vanishes at the other, then we show that the concentration decays^to zero uniformly as the time variable goes to infinity.


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