Complete conjugate conduction convection and radiation problem for a heated block in a vertical differentially heated square enclosure

Yang Liu, N. Phan-Thien

Research output: Journal article publicationJournal articleAcademic researchpeer-review

23 Citations (Scopus)


The complete conjugate heat conduction, convection and radiation problem for a heated block in a differentially heated square enclosure is solved by an operator-splitting pseudo-time-stepping finite element method. The main feature of the solution procedure is that the multi-phases are treated as a single computational domain with unknown interfacial boundary conditions. The temperature distribution in the heated block and in the enclosure fluid, together with the convective flow pattern are obtained simultaneously by the solution technique. The heated block has a resistant effect to the heat transfer between the differentially heated walls. When more heat is generated in the block, its emissivity has significant influence on the global flow. With increasing emissivity, the global convective flow decreases and the fraction of thermal radiation can be more than 30% of the total heat transfer.
Original languageEnglish
Pages (from-to)175-186
Number of pages12
JournalComputational Mechanics
Issue number3
Publication statusPublished - 1 Dec 1999

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Safety, Risk, Reliability and Quality
  • Applied Mathematics

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