ANALYTICAL SOLUTIONS OF THE PROBLEMS OF HEAT TRANSFER 
DURING LIQUID FLOW IN PLANE-PARALLEL CHANNELS BY 
DETERMINING THE TEMPERATURE PERTURBATION FRONT

V. A. Kudinov, E. V. Stefanyuk, and M. S. Antimonov

UDC 536.2 (075)

Based on the integral method of heat balance, an analytical 
solution of the problem of heat transfer in stabilized liquid flow 
in a plane tube is obtained. To increase the accuracy of solution, 
the approximation of the temperature function is made by polynomials 
of higher degrees. To determine their coefficients, supplementary 
boundary conditions are introduced that are found from the basic differential 
equation and given boundary conditions including conditions at the 
temperature perturbation front. In the second approximation the obtained 
analytical solution in the range of the longitudinal coordinate 10-6  x   
already virtually coincides with the exact one.

Samara State Technical University, 244 Molodogvardeiskaya 
Str., Samara, 443100, Russia. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 80, No. 5, pp. 176-186, September-October, 2007. 
Original article submitted January 23, 2006; revision submitted August 
28, 2006.