POLYHEDRAL FLAMES

被引:13
作者
OLAGUNJU, DO [1 ]
MATKOWSKY, BJ [1 ]
机构
[1] NORTHWESTERN UNIV,INST TECHNOL,DEPT ENGN SCI & APPL MATH,EVANSTON,IL 60201
关键词
COMBUSTION; FLAMES; BIFURCATION; PATTERN FORMATION; NONLINEAR DYNAMICS;
D O I
10.1137/0151006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A diffusional-thermal model for a premixed burner flame is considered. Bifurcations from a stationary planar flame when a double eigenvalue is split into two closely spaced simple eigenvalues are examined. This analysis shows successive bifurcations from the stationary planar flame to a stationary nonplanar axisymmetric flame, then to a stationary nonplanar n-faced polyhedral flame, and finally to a time-periodic (i.e., rotating or standing wave) polyhedral flame.
引用
收藏
页码:73 / 89
页数:17
相关论文
共 15 条
[1]   MULTIPLE EIGENVALUES LEAD TO SECONDARY BIFURCATION [J].
BAUER, L ;
KELLER, HB ;
REISS, EL .
SIAM REVIEW, 1975, 17 (01) :101-122
[2]  
BAYLISS A, 1990, APPL MATH LETT, V3
[3]   POLYHEDRAL FLAMES - AN EXERCISE IN BIMODAL BIFURCATION-ANALYSIS [J].
BUCKMASTER, J .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1984, 44 (01) :40-55
[4]   STOICHIOMETRY AND FLAMEHOLDER EFFECTS ON A ONE-DIMENSIONAL FLAME [J].
CARRIER, GF ;
FENDELL, FE ;
BUSH, WB .
COMBUSTION SCIENCE AND TECHNOLOGY, 1978, 18 (1-2) :33-46
[5]  
Hassard B.D., 1981, CUP ARCH, V41
[6]   FLAME PROPAGATION IN VERTICAL CHANNELS - BIFURCATION TO BIMODAL CELLULAR FLAMES [J].
MARGOLIS, SB ;
SIVASHINSKY, GI .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1984, 44 (02) :344-368
[7]   ON SPINNING PROPAGATION OF CELLULAR FLAMES [J].
MARGOLIS, SB ;
SIVASHINSKY, GI .
COMBUSTION SCIENCE AND TECHNOLOGY, 1990, 69 (4-6) :99-131
[8]  
Markstein G.H., 2014, NONSTEADY FLAME PROP
[9]   PULSATIONS IN A BURNER-STABILIZED PREMIXED PLANE FLAME [J].
MATKOWSKY, BJ ;
OLAGUNJU, DO .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1981, 40 (03) :551-562
[10]   ASYMPTOTIC DERIVATION OF 2 MODELS IN FLAME THEORY ASSOCIATED WITH THE CONSTANT DENSITY APPROXIMATION [J].
MATKOWSKY, BJ ;
SIVASHINSKY, GI .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1979, 37 (03) :686-699