## 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. JEPTER7492020023 JEPTER749203