An elementary model for autoignition of laminar jets.
In this paper, we formulate and analyse an elementary model for autoignition of cylindrical laminar jets of fuel injected into an oxidizing ambient at rest. This study is motivated by renewed interest in analysis of hydrothermal flames for which such configuration is common. As a result of our analysis, we obtain a sharp characterization of the autoignition position in terms of the principal physical and geometrical parameters of the problem.
Department of Mathematics , The University of Akron , Akron, OH 44325, USA.
Peter V
PV
Gordon
Universities Space Research Association , Cleveland, OH 44135, USA.
Daniel J
DJ
Gotti
Case Western Reserve University , Cleveland, OH 44106, USA.
Uday G
UG
Hegde
NASA Glenn Research Center , Cleveland, OH 44135, USA.
Michael C
MC
Hicks
NASA Glenn Research Center , Cleveland, OH 44135, USA.
Michael J
MJ
Kulis
School of Mathematical Sciences, Tel Aviv University , Tel Aviv 69978, Israel.
Gregory I
GI
Sivashinsky
autoignition; blow-up; diffusion flames; heat equation; hydrothermal flames; thermal runaway