Three-dimensional numerical analysis of natural convection in a saturated porous matrix (Stability of convection patterns)

Yoshio Masuda, Shigeo Kimura, Kazuo Hayashi

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1 Citation (Scopus)

Abstract

Three-dimensional natural convection heat transfer in a saturated porous cube heated from below is analyzed by a finite-element method. The Rayleigh numbers between 50 and 140 are considered. When the Darcy-modified Rayleigh number is high, the convection pattern can take various modes in the cube for a given value of the Rayleigh number. It is found that the convection modes of (1, 0, 1) and (1, 1, 1) are the only stable ones below Ra = 100. Moreover, the (1, 0, 2) mode also becomes stable when Ra is greater than 100. The other modes, however, are unstable at 50≤Ra≤100 in spite of the fact that the corresponding Rayleigh numbers exceed critical values according to the linear stability theory. The Nusselt numbers for respective stable modes are also calculated.

Original languageEnglish
Pages (from-to)960-964
Number of pages5
JournalNippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Volume60
Issue number571
DOIs
Publication statusPublished - 1994

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering

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