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Critical times in multilayer diffusion. Part 2: Approximate solutions

✍ Scribed by R.I. Hickson; S.I. Barry; G.N. Mercer

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
348 KB
Volume
52
Category
Article
ISSN
0017-9310

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✦ Synopsis

Traditional averaging methods for multilayer diffusion give inaccurate approximations of critical time behaviour, such as the heating time of a material. In particular, they fail to capture the importance of layer order. We use a perturbation expansion of an exact solution to find a simple approximate solution which accurately describes the critical time for transport across multiple layers. This approximate solution is then used to find a correction for the averaging method which captures the key critical time behaviour.

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