Extending the Duhamel theorem to dual phase applications

Peter Vadasz, D. A. Nield

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The Duhamel theorem is a useful classical result that allows finding the solution to a single phase thermal diffusion problem subject to time dependent heat sources and time dependent boundary conditions in terms of known solutions to the equivalent problem when the heat sources and boundary conditions are independent of time. The present paper presents the proof to the Duhamel theorem for dual phase thermal diffusion applications.

Original languageEnglish (US)
Pages (from-to)1475-1479
Number of pages5
JournalInternational Journal of Heat and Mass Transfer
Volume51
Issue number5-6
DOIs
StatePublished - Mar 2008

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Thermal diffusion
theorems
Boundary conditions
thermal diffusion
heat sources
boundary conditions
Hot Temperature

Keywords

  • Dual phase
  • Duhamel theorem
  • Heat conduction
  • LaLotheq
  • Local thermal non-equilibrium
  • Two-phase

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Energy(all)
  • Mechanical Engineering

Cite this

Extending the Duhamel theorem to dual phase applications. / Vadasz, Peter; Nield, D. A.

In: International Journal of Heat and Mass Transfer, Vol. 51, No. 5-6, 03.2008, p. 1475-1479.

Research output: Contribution to journalArticle

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