ON AUTOIGNITION OF CO-FLOW LAMINAR JETS

被引：9

作者：

Gordon, Peter V. ^{[1
]}

Hegde, Uday G. ^{[2
]}

Hicks, Michael C. ^{[3
]}

Kulis, Michael J. ^{[3
]}

机构：

[1] Univ Akron, Dept Math, Akron, OH 44325 USA

[2] Case Western Reserve Univ, Dept Mech & Aerosp Engn, Cleveland, OH 44106 USA

[3] NASA, Glenn Res Ctr, Cleveland, OH 44135 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2016年 / 76卷 / 05期

基金：

美国国家航空航天局;

关键词：

autoignition; hydrothermal flames; diffusion flames; heat equation; blow-up; thermal runaway; IGNITION; FLAMES;

D O I：

10.1137/16M1073017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the derivation and mathematical analysis of a model for autoignition of laminar co-flow jets. Such jets consist of two parts: an inner part with oxidizer that is surrounded by an outer part with fuel, or the reverse. To derive a model we use a combination of Burke Schumann theory of diffusion flames and Semenov-Frank-Kamenerskii theory of thermal explosion. The main advantage of our model is that it gives a well-defined condition for autoignition of a jet. We provide detailed analysis of the model that reveals dependency of the autoignition position on principal physical and geometric parameters involved. Moreover, we give explicit expressions for autoignition position in asymptotic regimes relevant to applications.

引用

页码：2081 / 2098

页数：18

共 21 条

[1] Hydrothermal flames: From phenomenological experimental demonstrations to quantitative understanding [J].