TY - JOUR
T1 - A two-dimensional analytical solution for the transient short-hot-wire method
AU - Woodfield, P. L.
AU - Fukai, J.
AU - Fujii, M.
AU - Takata, Y.
AU - Shinzato, K.
N1 - Funding Information:
Acknowledgments This research has been conducted as a part of the “Fundamental Research Project on Advanced Hydrogen Science” funded by the New Energy and Industrial Technology Development Organization (NEDO).
PY - 2008/8
Y1 - 2008/8
N2 - 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.
AB - 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.
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U2 - 10.1007/s10765-008-0469-y
DO - 10.1007/s10765-008-0469-y
M3 - Article
AN - SCOPUS:50949126857
VL - 29
SP - 1278
EP - 1298
JO - International Journal of Thermophysics
JF - International Journal of Thermophysics
SN - 0195-928X
IS - 4
ER -