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强化传热期刊
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ISSN 打印: 1065-5131
ISSN 在线: 1026-5511

强化传热期刊

DOI: 10.1615/JEnhHeatTransf.2015009783
pages 475-480

TWO-DIMENSIONAL HEAT CONDUCTION IN A TWO-CONDUCTOR LAMINATE WITH FUNCTIONALLY GRADED PROPERTIES

Alina Radzikowska
Department of Structural Mechanics, Technical University of Lodz, Al. Politechniki 6, 90-924 Lodz, Poland
Artur Wirowski
Department of Structural Mechanics, Technical University of Lodz, Al. Politechniki 6, 90-924 Lodz, Poland

ABSTRACT

The object of the contribution is the classical Fourier heat conduction in the laminate with functionally graded properties. The laminate is made of two conductors, nonperiodically distributed as laminas along one direction. A macrostructure of the laminate is assumed to be functionally graded along this direction. In order to analyze heat conduction, the tolerance averaging technique is used. The approach is based on the book edited by Cz. Wozniak, Michalak, and Jedrysiak [Thermomechanics of Microheterogeneous Solids and Structures. Tolerance Averaging Approach, Wydawnictwo Politechniki Lodzkiej, Lodz, 2008] and by Cz. Wozniak et al. [Mathematical Modelling and Analysis in Continuum Mechanics of Microstructured Media, Publishing House of Silesian University of Technology, Gliwice, 2010]. The aim of this paper is to apply the tolerance model equations of heat conduction for laminate with functionally graded properties to analyze two-dimensional stationary heat transfer. The equations of the tolerance model are solved by the finite difference method.


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