Title
Effective thermal properties of multilayered systems with interface thermal resistance in a hyperbolic heat transfer model
Date Issued
01 May 2010
Access level
metadata only access
Resource Type
conference paper
Author(s)
Instituto Politécnico Nacional-Unidad Mérida
Abstract
One-dimensional thermal wave transport in multilayered systems with an interface thermal resistance is studied under the framework of the Cattaneo-Vernotte hyperbolic heat conduction model, considering modulated heat excitation under Dirichlet and Neumann boundary conditions. For a single semi-infinite layer, analytical formulas useful in the measurement of its thermal relaxation time as well as additional thermal properties are presented. For a composite-layered system, in the thermally thin regime, with the Dirichlet boundary condition, the well known effective thermal resistance formula is obtained, while for the Neumann problem, only the heat capacity identity is found. In contrast, in the thermally thick case, an analytical expression for both Dirichlet and Neumann conditions is obtained for the effective thermal diffusivity of the whole system in terms of the thermal properties of the individual layers and their interface thermal resistance. The limits of applicability of this equation, in the thermally thick regime, are shown to provide useful and simple results in the characterization of layered systems and that they can be reduced to the results obtained using the Fourier approach. The role of the thermal relaxation time, the interface thermal resistance, and the implications of these results in the possibility of enhancement in heat transport are discussed. © Springer Science+Business Media, LLC 2010.
Start page
900
End page
925
Volume
31
Issue
May 4
Language
English
OCDE Knowledge area
Física de partículas, Campos de la Física
Scopus EID
2-s2.0-77956893369
ISSN of the container
0195928X
Conference
International Journal of Thermophysics
Sources of information: Directorio de Producción Científica Scopus