Numerical evaluation of weakly turbulent flow patterns of natural convection in a square enclosure with differentially heated side walls

Jianlei Niu, Zuojin Zhu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

19 Citations (Scopus)


This article presents the results of numerical evaluation of weakly turbulent natural convection of air in a rectangular enclosure with differentially heated side walls and adiabatic horizontal walls. The turbulence in the natural convection was described by k-ε equations, which were solved by Strang splitting, while average thermal and fluid flow fields were described by statistically averaged equations, which were solved by the projection method PmIII. The combined application of projection method and the Strang splitting characterizes the numerical method in this study. Numerical results for Rayleigh number 1.58 × 109have revealed reasonable agreement with the existing experimental ones, with some discrepancy attributable to the adiabatic boundary conditions on the horizontal walls. The results are also in good agreement with some published numerical results, particularly at higher Rayleigh numbers. However, comparison with the latest experimental data reveals that the turbulent heat flux model is not quite capable of giving satisfactory temperature distribution.
Original languageEnglish
Pages (from-to)551-568
Number of pages18
JournalNumerical Heat Transfer; Part A: Applications
Issue number6
Publication statusPublished - 2 Apr 2004

ASJC Scopus subject areas

  • Numerical Analysis
  • Condensed Matter Physics

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