Linear stability analysis of reaction fronts in liquids

被引:37
作者
Garbey, M
Taik, A
Volpert, V
机构
关键词
D O I
10.1090/qam/1388014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The propagation of a reaction front for liquid-to-solid reaction is studied. The model includes the heat equation, an equation for the concentration of the liquid reactant, and the equations of liquid motion under the Boussinesq approximation. The linear stability of the reaction front is studied, and conditions for cellular and oscillatory instability are determined.
引用
收藏
页码:225 / 247
页数:23
相关论文
共 60 条
[1]  
ALDUSHIN AP, 1979, DOKL AKAD NAUK SSSR+, V244, P67
[2]  
[Anonymous], 1972, CONVECTIVE INSTABILI
[3]   STABILITY OF FRONTAL REGIMES FOR THE OCCURRENCE OF AN EXOTHERMIC REACTION WITH RADIALLY SYMMETRICAL SUPPLY OF THE REAGENTS [J].
BABADZHANYAN, AS ;
VOLPERT, VA ;
VOLPERT, VA ;
DAVTYAN, SP ;
MEGRABOVA, IN .
COMBUSTION EXPLOSION AND SHOCK WAVES, 1989, 25 (01) :23-31
[4]   FRONTAL REGIMES OF AN EXOTHERMAL REACTION WITH RADIALLY SYMMETRIC INJECTION OF REAGENTS [J].
BABADZHANYAN, AS ;
VOLPERT, VA ;
VOLPERT, VA ;
DAVTYAN, SP ;
MEGRABOVA, IN .
COMBUSTION EXPLOSION AND SHOCK WAVES, 1988, 24 (06) :711-719
[5]  
BARENBLATT GI, 1962, DIFFUSIVE THERMAL ST, V21
[6]   NONLINEAR DYNAMICS OF CELLULAR FLAMES [J].
BAYLISS, A ;
MATKOWSKY, BJ .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1992, 52 (02) :396-415
[7]   TRAVELING WAVES IN THE NITRIC-ACID IRON(II) REACTION [J].
BAZSA, G ;
EPSTEIN, IR .
JOURNAL OF PHYSICAL CHEMISTRY, 1985, 89 (14) :3050-3053
[8]  
Begishev V. P., 1984, DOKL AKAD NAUK, V29, P1075
[9]  
Bostandzhiyan S. A., 1979, Journal of Applied Mechanics and Technical Physics, V20, P99, DOI 10.1007/BF00908146
[10]  
BOSTANDZHIYAN SA, 1989, 6 INT SCH MOD HEAT M, P231