Abstract
Local effect of intensification of substance heating depending on the distance between ‘hot spots’ is studied within the framework of a site thermal explosion in the case of a zeroth-order reaction. A combination of the values of the Arrhenius number Ar, Frank-Kamenetskii criterion Fk, distance between ‘hot spots’ a, and their width w at which two nearest points give a nonlinear effect of local intensification of the total heating of a substance is found. The method is based on the use of an approximate analytical solution of the corresponding Cauchy problem which is presented in the form of asymptotic expansion in terms of Poincare.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. G. Merzhanov, V. V. Barzykin, and V. G. Abramov,Khim. Fiz.,15, No. 6, 3–44 (1996).
A. G. Merzhanov, A. P. Aldushin, and S. G. Kasparyan, in:Proc. VI All-Union Conf. on Heat and Mass Transfer ‘Heat and Mass Transfer-VI,’ Vol. 3,Heat and Mass Transfer in Chemically Reacting Systems [in Russian], Minsk (1980), pp. 30–39.
R. S. Burkina and V. N. Vilyunov,Fiz. Goreniya Vzryva,16, No. 4, 75–79 (1980).
B. V. Orlov and G. Yu. Mazing,Thermodynamic and Ballistic Principles of the Design of Solid-Fuel Rocket Engines [in Russian], Moscow (1979).
A. V. Kotovich and G. A. Nesenenko,Inzh.-Fiz. Zh.,73, No. 1, 193–197 (2000).
Author information
Authors and Affiliations
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 73, No. 1, pp. 189–192, January–February, 2000.
Rights and permissions
About this article
Cite this article
Kotovich, A.V., Nesenenko, G.A. Allowance for mutual effect of ‘Hot spots’ in solution of problems of site thermal explosion. J Eng Phys Thermophys 73, 189–192 (2000). https://doi.org/10.1007/BF02681695
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02681695