Homoclinic bifurcations in radiating diffusion flames

被引：5

作者：

Kavousanakis, Michail E. ^{[1
]}

Russo, Lucia ^{[2
]}

Marra, Francesco Saverio ^{[2
]}

Siettos, Constantinos ^{[3
]}

机构：

[1] Natl Tech Univ Athens, Sch Chem Engn, GR-15780 Athens, Greece

[2] CNR, Ist Ric Combust, I-80125 Naples, Italy

[3] Natl Tech Univ Athens, Sch Appl Math & Phys Sci, GR-15780 Athens, Greece

来源：

COMBUSTION THEORY AND MODELLING | 2013年 / 17卷 / 01期

关键词：

radiating diffusion flames; nonlinear oscillations; bifurcation analysis; homoclinic bifurcation; timestepping approach; THERMAL INSTABILITY; OSCILLATIONS; EXTINCTION; STABILITY; EVOLUTION; SPREAD;

D O I：

10.1080/13647830.2012.721899

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

We analyse the dynamics of a model describing a planar diffusion flame with radiative heat losses incorporating a single step kinetic using timestepping techniques for Lewis number equal to one. We construct the full bifurcation diagram with respect to the Damkohler number including the branches of oscillating solutions. Based on this analysis we found, for the first time, homoclinic bifurcations that mark the abrupt disappearance of the nonlinear oscillations near extinction as reported in experiments.

引用

页码：40 / 52

页数：13

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