ALLOWANCE FOR MUTUAL EFFECT OF
"HOT SPOTS" IN SOLUTION OF PROBLEMS
OF SITE THERMAL EXPLOSION

A. V. Kotovich and G. A. Nesenenko

UDC 541.124

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.

JEPTER7492020008
JEPTER749208