Non-steady-state heat conduction in composite walls

Bernard Deconinck, Beatrice Pelloni, Natalie E. Sheils

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in each domain. The location of the interfaces is known, but neither temperature nor heat flux is prescribed there. Instead, the physical assumptions of their continuity at the interfaces are the only conditions imposed. The problem of two semi-infinite domains and that of two finite-sized domains are examined in detail. We indicate also how to extend the solution method to the setting of one finite-sized domain surrounded on both sides by semi-infinite domains, and on that of three finite-sized domains.

Original languageEnglish (US)
Article number20130605
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2165
StatePublished - May 8 2014


  • Composite walls
  • Fokas method
  • Heat equation
  • Interface problem
  • Non-steady-state heat conduction

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