ASYMPTOTIC ANALYSIS OF THE SOLUTION OF THE PROBLEM 
OF NONSTATIONARY HEAT CONDUCTION OF LAMINAR ANISOTROPIC
INHOMOGENEOUS PLATES FOR SMALL BIOT NUMBERS ON FACES

Yu. V. Nemirovskii and A. P. Yankovskii

UDC 536.21

The external asymptotic expansion of the solution of the 
problem of nonstationary heat conduction of laminar anisotropic inhomogeneous 
plates for small Biot numbers on faces has been constructed. The resulting 
two-dimensional resolving equations have been analyzed; the asymptotic 
properties of solutions of the heat-conduction problem have been investigated.

S. A. Khristianovich Institute of Theoretical and 
Applied Mechanics, Siberian Branch of the Russian Academy of 
Sciences, 4/1 Institutskaya Str., Novosibirsk, 630090, Russia. Translated 
from Inzhenerno-Fizicheskii Zhurnal, Vol. 81, No. 6, pp. 1034-1045, 
November-December, 2008. Original article submitted February 28, 
2007; revision submitted April 15, 2008.