This article examines the temperature fields of the thick wall pipe while cooling it under the process of extrusion. We solved the Fourier-Kirchhoff equation by Fourier method in the form of an infinite row and with the help of Bessel's functions. The equations were transformed into dimensionless forms and a solution of during heat we got as the function of Biot's and Fourier's number, dimensionless inner radius and thermal capacitance ratio of contact phases. (C) 2007 Elsevier Ltd. All rights reserved.