On heat conduction in a periodically stratified medium with slant lamination

Abstract

Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014.

The paper deals with the two-dimensional stationary temperature distribution problem for a composite medium. The nonhomogenous medium is assumed to be a composite with micro-periodically stratified structure. The elementary unit of composite is a two-layered laminae. The ideal thermal condition on interfaces is assumed. The layering is inclined with an arbitrary angle to the boundary planes. In this paper the two cases of considered medium are shown: • Layer with periodically structure with given constant temperature on upper and lower boundary surface; • Half-space with periodically structure with given constant temperature in boundary surface. The considered problem are solved within the framework of the homogenized model with microlocal parameters given by Woźniak (1987), Matysiak and Woźniak (1986). The plane problems of periodically stratified medium with slant layering heated by given boundary temperature are solved analytically. The influence of thermal and geometrical properties on temperature distribution in analysed medium was investigated.