A Two-Dimensional Analytical Solution for the Transient Short-Hot-Wire Method

Unlike the conventional transient hot-wire method for measuring thermal conductivity, the transient short-hot-wire method uses only one short thermal-conductivity cell. Until now, this method has depended on numerical solutions of the two-dimensional unsteady heat conduction equation to account for...

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Bibliographic Details
Published inInternational journal of thermophysics Vol. 29; no. 4; pp. 1278 - 1298
Main Authors Woodfield, P. L., Fukai, J., Fujii, M., Takata, Y., Shinzato, K.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.08.2008
Subjects
Classical Mechanics
Condensed Matter Physics
Industrial Chemistry/Chemical Engineering
Physical Chemistry
Physics
Physics and Astronomy
Analytical solution
Transient short hot wire
Thermal-conductivity measurement
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Summary:Unlike the conventional transient hot-wire method for measuring thermal conductivity, the transient short-hot-wire method uses only one short thermal-conductivity cell. Until now, this method has depended on numerical solutions of the two-dimensional unsteady heat conduction equation to account for end effects. In order to provide an alternative and to confirm the validity of the numerical solutions, a two-dimensional analytical solution for unsteady-state heat conduction is derived using Laplace and finite Fourier transforms. An isothermal boundary condition is assumed for the end of the cell, where the hot wire connects to the supporting leads. The radial temperature gradient in the wire is neglected. A high-resolution finite-volume numerical solution is found to be in excellent agreement with the present analytical solution.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0195-928X
1572-9567
DOI:10.1007/s10765-008-0469-y