ONE APPROACH TO THE ANALYTICAL SOLUTION OF A TWO-DIMENSIONAL
NONSTATIONARY PROBLEM OF HEAT CONDUCTION IN REGIONS WITH 
MOVING BOUNDARIES ON THE MODEL OF A HALF-SPACE 
V. P. Kozlov, P. A. Mandrik, and
N. I. Yurchuk

UDC 517.958:517.968:536.24

With the use of the solution of the Dirichlet nonstationary 
problem with discontinuous unmixed boundary conditions on the surface 
of an isotropic half-space a two-dimensional model of the problem 
with a moving phase boundary is considered. The problem models, for 
example, the processes of freezing of moist ground or the processes 
of formation of ice in stagnant water if a temperature lower than 
the freezing temperature is prescribed on the boundary surface in 
a circular region of finite radius. The classical one-dimensional 
result follows as a particular case from solution of this problem 
for an infinite radius of the circle.

Belarusian State University, Minsk, Belarus; email: mandrik@fpm.bsu.unibel.by. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 75, No. 1, 
pp. 181-185, January-February, 2002. Original article submitted 
April 2, 2001; revision submitted June 11, 2001.

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