Thermal runaway for a reaction-diffusion equation

被引:2
|
作者
Okoya, SS [1 ]
Ajadi, SO [1 ]
Kolawole, AB [1 ]
机构
[1] Obafemi Awolowo Univ, Dept Math, Ife, Nigeria
关键词
D O I
10.1016/S0735-1933(03)00132-5
中图分类号
O414.1 [热力学];
学科分类号
摘要
A central problem in the classical theory of combustion is considered. A new analytical solution is obtained via the complex analysis and functional framework for the nonlinear elliptic equation describing the flow of heat in thermally explosive material with constant thermophysical properties. We employ physically realistic boundary conditions and the condition for thermal runaway is expressed as the critical value of the Frank - Kamenetskii parameter. (C) 2003 Elsevier Science Ltd.
引用
收藏
页码:845 / 850
页数:6
相关论文
共 50 条
  • [1] Fractional reaction-diffusion equation
    Seki, K
    Wojcik, M
    Tachiya, M
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2003, 119 (04): : 2165 - 2170
  • [2] ON REACTION-DIFFUSION EQUATION WITH ABSORPTION
    王立文
    陈庆益
    [J]. Acta Mathematica Scientia, 1993, (02) : 147 - 152
  • [3] ON REACTION-DIFFUSION EQUATION WITH ABSORPTION
    WANG, LW
    CHEN, QY
    [J]. ACTA MATHEMATICA SCIENTIA, 1993, 13 (02) : 147 - 152
  • [4] A reaction-diffusion equation with memory
    Grasselli, M
    Pata, V
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2006, 15 (04) : 1079 - 1088
  • [5] On a fractional reaction-diffusion equation
    de Andrade, Bruno
    Viana, Arlucio
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (03):
  • [6] REACTION-DIFFUSION EQUATION ON THIN DOMAINS
    HALE, JK
    RAUGEL, G
    [J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1992, 71 (01): : 33 - 95
  • [7] Pattern selection in a reaction-diffusion equation
    Wang Ping
    Hsieh Din-Yu
    Tang Shaoqiang
    [J]. Acta Mechanica Sinica, 2002, 18 (6) : 652 - 660
  • [8] A REACTION-DIFFUSION EQUATION ON STRATIFIED GROUPS
    Jabbarkhanov K.
    Restrepo J.E.
    Suragan D.
    [J]. Journal of Mathematical Sciences, 2022, 266 (4) : 593 - 602
  • [9] PHASELOCKING IN A REACTION-DIFFUSION EQUATION WITH TWIST
    ERMENTROUT, GB
    TROY, C
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1994, 25 (06) : 1504 - 1520
  • [10] Speed of fronts of the reaction-diffusion equation
    Benguria, RD
    Depassier, MC
    [J]. PHYSICAL REVIEW LETTERS, 1996, 77 (06) : 1171 - 1173