The paper deals with some comparison of results obtained within the framework of homogenized model with microlocal parameters [Cz. Wozniak, Int. J. Eng. Sci. 25 (1987) 483-499; S.J. Matysiak, Cz. Wozniak, Acta Mech. 63 (1986) 223-238; S.J. Matysiak, Acta Mech., 78 (1989) 95-108] and within the framework of classical heat conduction equations for a periodically two-layered half-space. The body is assumed to be heated by a constant heat flux on a boundary circle. (c) 2004 Elsevier Ltd. All rights reserved.