Abstract
The critical parameters for a problem in combustion theory for certain non-Class A geometries are computed using a transcendental equation derived from the non-linear parabolic equation. When possible, results are compared with existing ones in the literature.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
T. Boddington, C.G. Feng and P. Gray, Thermal explosion and time-on-ignition in systems with distributed temperatures, I. Reactant consumption ignored, Proc. Roy. Soc. Lond. A385 (1983) 289–311.
K.F. Fenaughty, A.A. Lacey and G.C. Wake, The disappearance of criticality for small activation energy with arbitrary Biot number, Combustion and Flame 45 (1982) 287–291.
D.A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics, Plenum Press, New York (1959).
J.R. Parks, Criticality criteria for various configurations of a self-heating chemical as functions of activation energy and temperature of assembly, J. Chem. Phys. 34 (1961) 46–50.
K.K. Tam, Initial data and criticality for a problem in combustion theory, J. Math. Anal. Appl. 77 (1980) 626–634.
K.K. Tam, On the influence of the initial data in a combustion problem, J. Austral. Math. Soc. B22 (1980) 193–209.
K.K. Tam and P.B. Chapman, Thermal ignition in a reactive slab with unsymmetric boundary temperatures, J. Austral. Math. Soc. B24 (1983) 279–288.
K.K. Tam, Criticality dependence on data and parameters for a problem in combustion theory, J. Austral. Math. Soc. B27 (1986) 416–441.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tam, K.K. Critical parameters for some non-Class A configurations in combustion theory, with non-uniform boundary temperatures. J Eng Math 21, 129–137 (1987). https://doi.org/10.1007/BF00127670
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00127670