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

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

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)796-809
Number of pages14
JournalInternational Journal of Thermophysics
Volume30
Issue number3
DOIs
Publication statusPublished - Jun 2009

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'An accelerated two-dimensional unsteady heat conduction calculation procedure for thermal-conductivity measurement by the transient short-hot-wire method'. Together they form a unique fingerprint.

Cite this