Coupled conduction-convection problem for an underground rectangular duct containing three insulated cables

Yang Liu, Nhan Phan-Thien, Ronald Kemp, Xiao Lin Luo

Research output: Journal article publicationJournal articleAcademic researchpeer-review

13 Citations (Scopus)


The coupled heat conduction-convection problem for three insulating cables resting in a rectangular duct filled with air, which is buried underground, is solved by an operator-splitting pseudo-time-stepping finite element method. The method automatically satisfies the continuity of the interfacial temperature and heat flux. The temperature distribution in the metal cores, in the insulating layers, and in the surrounding air and soil, together with the convective flow pattern, are obtained simultaneously. From the profile of the local Nusselt number, which is strongly dependent on the thermal conductivity ratios and weakly dependent on the Rayleigh number, it is concluded that most of the heat transfer takes place via the bottom of the enclosure through a conductive mode.
Original languageEnglish
Pages (from-to)411-431
Number of pages21
JournalNumerical Heat Transfer; Part A: Applications
Issue number4
Publication statusPublished - 1 Jan 1997
Externally publishedYes

ASJC Scopus subject areas

  • Numerical Analysis
  • Condensed Matter Physics

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