Steady-periodic Green's functions and thermal-measurement applications in rectangular coordinates

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23 Scopus citations

Abstract

Methods of thermal property measurements based on steady-periodic heating are indirect techniques, in which the thermal properties are deduced from a systematic comparison between experimental data and heat-transfer theory. In this paper heat-transfer theory is presented for a variety of two-dimensional geometries applicable to steady-periodic thermal-property techniques. The method of Green's functions is used to systematically treat rectangles, slabs (two dimensional), and semi-infinite bodies. Several boundary conditions are treated, including convection and boundaries containing a thin, high-conductivity film. The family of solutions presented here provides an opportunity for verification of numerical results by the use of distinct, but similar, geometries. A second opportunity for verification arises from alternate forms of the Green's function, from which alternate series expressions may be constructed for the same unique temperature solution. Numerical examples are given to demonstrate both verification techniques for the steady-periodic response to a heated strip.

Original languageEnglish (US)
Pages (from-to)709-716
Number of pages8
JournalJournal of Heat Transfer
Volume128
Issue number7
DOIs
StatePublished - Jul 2006

Keywords

  • Heat conduction
  • Pulse heating
  • Thermal properties
  • Thermal wave
  • Thin film

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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