Andrianov, IV and Topol, H and Danishevskyy, VV (2017) Asymptotic analysis of heat transfer in composite materials with nonlinear thermal properties. International Journal of Heat and Mass Transfer, 111. 736 - 754. ISSN 0017-9310

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Abstract

Abstract We study heat transfer through a composite with periodic microstructure. The thermal conductivity of the constituents is assumed to be temperature-dependent, and it is modeled as a polynomial in terms of the temperature. The thermal resistance between the constituents is taken to be nonlinear. In order to determine the effective thermal properties of the material, we apply the asymptotic homogenization method. We discuss different approaches to determine these effective properties for the different volume fractions of the inclusions. For high volume fractions of the inclusion, we apply the lubrication theory. In the case of low volume fractions of the inclusions, we apply the three-phase model. Comparing some special cases of our results to existing ones in the literature shows a good accuracy.

Item Type: Article
Additional Information: Copyright © 2017 Elsevier B.V. or its licensors or contributors. ScienceDirect ® is a registered trademark of Elsevier B.V.
Uncontrolled Keywords: heat transfer, composites, nonlinearity, Asymptomatic homogenizaton method, Three-phase model, Lubrication theory
Subjects: ?? Asymptomatic homogenizaton method ??
?? Lubrication theory ??
Q Science > QA Mathematics
?? Three-phase model ??
?? composites ??
?? heat transfer ??
?? nonlinearity ??
Divisions: Faculty of Natural Sciences > School of Computing and Maths
Depositing User: Symplectic
Date Deposited: 15 May 2017 08:20
Last Modified: 16 May 2017 07:50
URI: http://eprints.keele.ac.uk/id/eprint/3433

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