TEMPERATURE PROFILE IN THE STATIONARY AND 
NONSTATIONARY REGIMES OF HEATING AND MASS 
REMOVAL OF LOW-THERMAL-CONDUCTIVITY MATERIALS

G. A. Frolov and V. L. Baranov

UDC 536.2.083

Based on an analytical solution of the linear equation 
of heat conduction with mass removal and without it and on the regularity 
of reaching the stationary heating regime which is established, when 
the thicknesses of the heated and removed material layers are equal, 
the authors have proved the S-shaped temperature profile found experimentally 
near the destroyed surface. It has been noted that the use of the 
readings of a temperature sensor located in the S-shaped zone of the 
temperature profile as the boundary conditions can bring about substantial 
errors in determining thermophysical characteristics using inverse 
heat-conduction problems.

I. N. Frantsevich Institute of Problems of Materials Science, 
National Academy of Sciences of Ukraine, 3 Krzhizhanovskii Str., Kiev, 
03142, Ukraine; email: g_frolov@nbi.com.ua. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 78, No. 6, pp. 49-55, November-December, 2005. 
Original article submitted March 23, 2004; revision submitted March 
9, 2005.