A CONJUGATE PROBLEM OF THERMAL
EXPLOSION OF A HOLLOW CYLINDER

R. Sh. Gainutdinov

UDC 536.46

A conjugated problem of heat conduction for two hollow 
cylinders that are in close contact, with one consisting of a reagent, 
has been solved analytically. The problem has been solved by the backward 
method under boundary conditions of the first kind. The critical conditions 
of thermal explosion were investigated as functions of the parameters 
of a reagent and of an inert body. An engineering method for determining 
the critical conditions of a thermal explosion is suggested.

Kazan State Technological University, 68 Karl Marx Str., 
Kazan, Republic of Tatarstan, 420015, Russia. Translated from 
Inzhenerno-Fizicheskii Zhurnal, Vol. 79, No. 4, pp. 110-113, 
July-August, 2006. Original article submitted October 13, 2004; 
revision submitted October 4, 2005.