Multilayer diffusion in a composite medium with imperfect contact

Natalie E. Sheils

doi:10.1016/j.apm.2017.01.049

Multilayer diffusion in a composite medium with imperfect contact

Natalie E. Sheils

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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.

Original language	English (US)
Pages (from-to)	450-464
Number of pages	15
Journal	Applied Mathematical Modelling
Volume	46
DOIs	https://doi.org/10.1016/j.apm.2017.01.049
State	Published - Jun 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Inc.

Keywords

Fokas Method
Heat conduction
Imperfect thermal contact
Unified Transform Method

Publisher link

10.1016/j.apm.2017.01.049

Find It

Find It at U of M Libraries

Cite this

@article{427a43b612cf46bc8b65753fda6aa168,

title = "Multilayer diffusion in a composite medium with imperfect contact",

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.",

keywords = "Fokas Method, Heat conduction, Imperfect thermal contact, Unified Transform Method",

author = "Sheils, \{Natalie E.\}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2017",

month = jun,

doi = "10.1016/j.apm.2017.01.049",

language = "English (US)",

volume = "46",

pages = "450--464",

journal = "Applied Mathematical Modelling",

issn = "0307-904X",

publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - Multilayer diffusion in a composite medium with imperfect contact

AU - Sheils, Natalie E.

PY - 2017/6

Y1 - 2017/6

N2 - 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.

AB - 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.

KW - Fokas Method

KW - Heat conduction

KW - Imperfect thermal contact

KW - Unified Transform Method

UR - https://www.scopus.com/pages/publications/85019977880

UR - https://www.scopus.com/pages/publications/85019977880#tab=citedBy

U2 - 10.1016/j.apm.2017.01.049

DO - 10.1016/j.apm.2017.01.049

M3 - Article

AN - SCOPUS:85019977880

SN - 0307-904X

VL - 46

SP - 450

EP - 464

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

ER -

Multilayer diffusion in a composite medium with imperfect contact

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this