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A contribution to the macroscopic modelling of hyperbolic heat transfer in a micro-periodic rigid conductor

Siedlecka U.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2004

Vol. 3, nr 1

195--200

The aim of this contribution is to analyze the propagation of initial temperature disturbances on a macroscopic level. The main result of in this contribution is a formulation of an independent system of equations describing the above problem. The derived macroscopic heat transfer equations will be represented by the independent temperature disturbance equations and by the equation for the microscopic (averaged) temperature field. To make this note self-consistent we outline in the subsequent sections the basic preliminary concepts of the tolerance averaging technique. The detailed discussion of this technique can be found in [5].