Temperature determination for non-linearly radiating half-spaces

The Gurtin-Pipkin theory of heat conduction is adopted for the analysis of non-linear boundary value problems involving thermal transients in half-spaces. Asymptotic methods are employed to reduce the governing integro-differential equation to a set of differential-difference equations which may be...

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Bibliographic Details
Published in:International journal of non-linear mechanics 1990, Vol.25 (6), p.607-614
Main Authors: Moodie, T.Bryant, Öncü, T.S.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat transfer
Physics
Thermal radiation
Citations: Items that this one cites
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Summary:The Gurtin-Pipkin theory of heat conduction is adopted for the analysis of non-linear boundary value problems involving thermal transients in half-spaces. Asymptotic methods are employed to reduce the governing integro-differential equation to a set of differential-difference equations which may be solved exactly. Properties of the process are derived in a simple and direct fashion for a general non-linear boundary condition. The specific case of Stefan-Boltzmann radiation is discussed for both inhomogeneous and homogeneous media.
ISSN:0020-7462
1878-5638
DOI:10.1016/0020-7462(90)90001-P