INVESTIGATION OF THERMAL RESONANCE IN SOLUTION OF A TWO-DIMENSIONAL 
SINGULARLY PERTURBED BOUNDARY-VALUE PROBLEM OF NONSTATIONARY HEAT 
CONDUCTION WITH NONLINEAR BOUNDARY CONDITIONS OF THE STEFAN-BOLTZMANN TYPE

A. V. Kotovich and G. A. Nesenenko

UDC 536.2

Data of the analytical-numerical parametric investigation 
of a singularly perturbed temperature field in the boundary layer 
of the side of a rectangle on which nonlinear boundary conditions 
of the Stefan-Boltzmann type are specified have been given. It 
has been established that a nonuniform initial temperature distribution 
of the Gaussian type causes the appearance of "discontinuous traveling 
thermal waves" in the corresponding boundary layer. A set of parameters 
for which the "discontinuous traveling thermal waves," being superimposed, 
lead to a local nonlinear enhancement of the thermal field has been 
found. This effect can be considered as "thermal resonance."

N. E. Bauman Moscow State Technical University, 52nd Baumanskaya Str., 
Moscow, 105005, Russia; email: fn2@sm.bmstu.ru. Translated from Inzhenerno
-Fizicheskii Zhurnal, Vol. 77, No. 4, pp. 20-26, July-August, 2004. Original 
article submitted July 29, 2003.