ANALYTICAL METHODS OF INVESTIGATION
OF THE THERMAL STATE OF A REGION WITH
A MOVING BOUNDARY UNDER THE CONDITIONS
OF NONSTATIONARY HEAT TRANSFER TO THE
EXTERNAL MEDIUM

A. V. Attetkov and I. K. Volkov

UDC 536.2

An analytical method of solution of combined problems 
of nonstationary heat conduction for a region with a boundary moving 
according to a known law and with a time-variable coefficient of heat 
transfer is developed. The idea of splitting the kernel of the obtained 
generalization of a singular integral Fourier transform with respect 
to a space variable provides a basis for the method. Theoretical results 
are used in mathematical simulation of heat transfer processes in 
the region with a moving boundary under the conditions of nonstationary 
heat transfer to the external medium.

JEPTER7492020003
JEPTER749203