A two-dimensional analytical solution for the transient short-hot-wire method

P. L. Woodfield, J. Fukai, M. Fujii, Y. Takata, K. Shinzato

研究成果: ジャーナルへの寄稿学術誌査読

22 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)1278-1298
ページ数21
ジャーナルInternational Journal of Thermophysics
29
4
DOI
出版ステータス出版済み - 8月 2008

!!!All Science Journal Classification (ASJC) codes

  • 凝縮系物理学

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