ANALYTICAL SOLUTION OF HEAT-CONDUCTION
PROBLEMS WITH A VARIABLE INITIAL CONDITION
BASED ON DETERMINING A TEMPERATURE PERTURBATION FRONT

V. A. Kudinov, B. V. Averin, and E. V. Stefanyuk

UDC 536.2

With the aid of the integral heat-balance method an analytical 
solution of the problem of unsteady-state heat conduction has been 
obtained for an infinite plate with a variable initial condition. 
To increase the accuracy of solution by the integral method additional 
boundary conditions are introduced which are determined from the initial 
differential equation and basic boundary conditions, including those 
prescribed at the temperature perturbation front.

Samara State Technical University, 244 Molodogvardeiskaya 
Str., Samara, 443100, Russia. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 80, No. 3, pp. 27-35, May-June, 2007. Original 
article submitted September 3, 2005; revision submitted September 
8, 2006.