Multilayer diffusion in a composite medium with imperfect contact

Citation data:

Applied Mathematical Modelling, ISSN: 0307-904X, Vol: 46, Page: 450-464

Publication Year:
2017
Usage 9
Abstract Views 9
DOI:
10.1016/j.apm.2017.01.049
Author(s):
Natalie E. Sheils
Publisher(s):
Elsevier BV
Tags:
Mathematics
article description
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. We find a solution using the Unified Transform Method, due to Fokas and collaborators, applied to interface problems and compute solutions numerically.

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