ANALYTICAL SOLUTION OF TWO-DIMENSIONAL
CONTACT PROBLEMS OF UNSTEADY HEAT
CONDUCTION IN THE PRESENCE OF MIXED
BOUNDARY CONDITIONS IN THE CONTACT PLANE 
P. A. Mandrik

UDC 517.968,536.24

A method for solution of systems of parabolic differential 
equations of heat conduction on the model of thermal contact between 
two bodies with different thermophysical characteristics in the presence 
of mixed boundary conditions in the plane of their contact has been 
suggested for the first time. The case of contact of two semibounded 
bodies has been considered. In this case, a heat source of low heat 
capacity acts in a circular region of finite radius on the contact 
surface, and beyond this region the initial temperature is maintained 
during the whole period of heat transfer.

Belarusian State University, Minsk, Belarus; email: mandrik@fpm.bsu.unibel.by. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 75, No. 1, 
pp. 186-190, January-February, 2002. Original article submitted 
May 18, 2001.

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