Solution To Inverse Heat Conduction Problem In Nanoscale Using Sequential Method

Sun K. Kim; Isaac M Daniel

doi:10.1080/716100491

Solution To Inverse Heat Conduction Problem In Nanoscale Using Sequential Method

Sun K. Kim^*, Isaac M Daniel

^*Corresponding author for this work

Civil and Environmental Engineering

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16 Scopus citations

Abstract

An inverse heat conduction problem for nanoscale structure is studied. The conduction phenomenon is modeled using the Boltzmann transport equation. Phonon-mediated heat conduction in one dimension is considered. One boundary is exposed to an unknown temperature and the other boundary, where temperature observation takes place, is subject to a known boundary condition. A sequential scheme with constant function specification is employed for inverse estimation of the unknown temperature. Sample results are presented and discussed.

Original language	English (US)
Pages (from-to)	439-456
Number of pages	18
Journal	Numerical Heat Transfer, Part B: Fundamentals
Volume	44
Issue number	5
DOIs	https://doi.org/10.1080/716100491
State	Published - Jan 1 2003

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Condensed Matter Physics
Mechanics of Materials
Computer Science Applications

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10.1080/716100491

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abstract = "An inverse heat conduction problem for nanoscale structure is studied. The conduction phenomenon is modeled using the Boltzmann transport equation. Phonon-mediated heat conduction in one dimension is considered. One boundary is exposed to an unknown temperature and the other boundary, where temperature observation takes place, is subject to a known boundary condition. A sequential scheme with constant function specification is employed for inverse estimation of the unknown temperature. Sample results are presented and discussed.",

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AB - An inverse heat conduction problem for nanoscale structure is studied. The conduction phenomenon is modeled using the Boltzmann transport equation. Phonon-mediated heat conduction in one dimension is considered. One boundary is exposed to an unknown temperature and the other boundary, where temperature observation takes place, is subject to a known boundary condition. A sequential scheme with constant function specification is employed for inverse estimation of the unknown temperature. Sample results are presented and discussed.

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Solution To Inverse Heat Conduction Problem In Nanoscale Using Sequential Method

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