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Non-steady state heat conduction in composite walls

Deconinck, B., Pelloni, B. and Shiels, N. (2014) Non-steady state heat conduction in composite walls. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 470 (2165). 20130605. ISSN 1364-5021

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To link to this item DOI: 10.1098/rspa.2013.0605


The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in each domain. The location of the interfaces is known, but neither temperature nor heat flux are prescribed there. Instead, the physical assumptions of their continuity at the interfaces are the only conditions imposed. The problem of two semi-infinite domains and that of two finite-sized domains are examined in detail. We indicate also how to extend the solution method to the setting of one finite-sized domain surrounded on both sides by semi-infinite domains, and on that of three finite-sized domains.

Item Type:Article
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:35916
Publisher:Royal Society Publishing

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