Natural convection heat transfer in an anisotropic porous matrix heated from below

Yoshio Masuda, Shigeo Kimura, Kazuo Hayashi

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1 Citation (Scopus)


Natural convection heat transfer in a saturated porous matrix whose permeability is anisotropic is analyzed by a finite-element method. A specific problem involves the convection in a square box heated from below. The Rayleigh number is defined at vertical permeability, according to Kvernvold and Tyvand. The calculated critical Rayleigh numbers agree well with the linear stability theory. Variations of the Nusselt numbers with the Rayleigh numbers for various values of the x-to-y permeability ratio and cell number are calculated. It is found that the ratio and cell numbers have a great effect on the properties of natural convection heat transfer and the number of convection cells realized in a square space. Unsteady temperature distribution and Nusselt number changes in the transient state are also calculated.

Original languageEnglish
Pages (from-to)4203-4208
Number of pages6
JournalNippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Issue number544
Publication statusPublished - 1991 Dec

ASJC Scopus subject areas

  • Mechanical Engineering


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