Numerical simulation of thermal fluid instability between two horizontal parallel plates

Hongxing Yang, Zuojin Zhu, John Gilleard

Research output: Journal article publicationJournal articleAcademic researchpeer-review

18 Citations (Scopus)


The buoyancy-induced thermal fluid instability between two parallel horizontal plates has been investigated numerically by solving the governing equations of base and perturbation fields using a fractional algorithm, in which the fourth-order Adams scheme and the Bi-CGSTAB scheme are embedded. An initial assumption of the perturbed temperature was made by a Gaussian random number generator. A primitive static fluid with Prandtl number 0.73 was induced to flow in the gap between the two horizontal parallel plates for three different cases: top heating, bottom heating and heating from both plates. The kinetic energy of induced flow in each vertical section and in the whole domain was calculated. The results can demonstrate whether the thermal fluid flow is stable or unstable. A linear decaying behavior is found after the initial stage. The total fluid kinetic energy in the domain converges for the top heating case, but diverges for the other two heating cases.
Original languageEnglish
Pages (from-to)1485-1493
Number of pages9
JournalInternational Journal of Heat and Mass Transfer
Issue number8
Publication statusPublished - 1 Jan 2001

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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