ASYMPTOTIC SOLUTION OF THE PROBLEM ON THE TEMPERATURE FIELD 
IN A WELL WITH ACCOUNT FOR THE RADIAL-VELOCITY DISTRIBUTION

A. I. Filippov and P. N. Mikhailov

UDC 532.546

The problem on the temperature field of a liquid in a 
well has been asymptotically solved for the case of a constant temperature 
gradient in it. Expressions for calculating the temperature of a liquid 
in a well in the zero and first approximations have been obtained. 
It is shown that the asymptotic solution of the problem considered 
in the zero approximation makes it possible to obtain an algorithm 
involving averaging of the temperature of a liquid in a well in the 
case where the velocity profile of the liquid is constant. The space 
and time temperature distributions of a liquid in a well have been 
calculated, and the contribution of various physical processes to 
them has been analyzed.

Sterlitamak Branch of the Academy of Sciences of the Bashkortostan 
Republic, 37 Lenin Ave., Sterlitamak, 453103, Russia; email: physgpi@str.ru. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 78, No. 4, pp. 
87-96, July-August, 2005. Original article submitted May 28, 2004.