TY - JOUR

T1 - An accelerated two-dimensional unsteady heat conduction calculation procedure for thermal-conductivity measurement by the transient short-hot-wire method

AU - Woodfield, P. L.

AU - Fukai, J.

AU - Fujii, M.

AU - Takata, Y.

PY - 2009/6/1

Y1 - 2009/6/1

N2 - A fast and accurate procedure is proposed for solution of the two-dimensional unsteady heat conduction equation used in the transient short-hot-wire method for measuring thermal conductivity. Finite Fourier transforms are applied analytically in the wire-axis direction to produce a set of one-dimensional ordinary differential equations. After discretization by the finite-volume method in the radial direction, each one-dimensional algebraic equation is solved directly using the tri-diagonal matrix algorithm prior to application of the inverse Fourier transform. The numerical procedure is shown to be very accurate through comparison with an analytical solution, and it is found to be an order of magnitude faster than the usual numerical solution.

AB - A fast and accurate procedure is proposed for solution of the two-dimensional unsteady heat conduction equation used in the transient short-hot-wire method for measuring thermal conductivity. Finite Fourier transforms are applied analytically in the wire-axis direction to produce a set of one-dimensional ordinary differential equations. After discretization by the finite-volume method in the radial direction, each one-dimensional algebraic equation is solved directly using the tri-diagonal matrix algorithm prior to application of the inverse Fourier transform. The numerical procedure is shown to be very accurate through comparison with an analytical solution, and it is found to be an order of magnitude faster than the usual numerical solution.

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U2 - 10.1007/s10765-009-0583-5

DO - 10.1007/s10765-009-0583-5

M3 - Article

AN - SCOPUS:67849106399

VL - 30

SP - 796

EP - 809

JO - International Journal of Thermophysics

JF - International Journal of Thermophysics

SN - 0195-928X

IS - 3

ER -