Multilayer diffusion in a composite medium with imperfect contact
Numerical Analysis
2016-12-23 v2 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.1610.02945,
title = {Multilayer diffusion in a composite medium with imperfect contact},
author = {Natalie E. Sheils},
journal= {arXiv preprint arXiv:1610.02945},
year = {2016}
}
Comments
21 pages, 10 figures