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Asymptotic analysis of heat transfer in composite materials with nonlinear thermal properties

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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.

Citation

(2017). Asymptotic analysis of heat transfer in composite materials with nonlinear thermal properties. International Journal of Heat and Mass Transfer, 736 - 754. https://doi.org/10.1016/j.ijheatmasstransfer.2017.03.124

Acceptance Date Mar 27, 2017
Publication Date Aug 1, 2017
Journal International Journal of Heat and Mass Transfer
Print ISSN 0017-9310
Publisher Elsevier
Pages 736 - 754
DOI https://doi.org/10.1016/j.ijheatmasstransfer.2017.03.124
Keywords heat transfer, composites, nonlinearity, Asymptomatic homogenizaton method, Three-phase model, Lubrication theory
Publisher URL http://www.sciencedirect.com/science/article/pii/S0017931016333956

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