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Stability of a fluid-saturated porous medium heated from below by forced convection

✍ Scribed by J.P. Kubitschek; P.D. Weidman

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
410 KB
Volume
46
Category
Article
ISSN
0017-9310

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✦ Synopsis

A linear stability analysis determining the onset of convection in a bounded rectangular cavity containing a fluidsaturated porous medium is performed for insulated sidewalls, isothermal top wall, and bottom wall heated by forced convection. The nature of the bottom wall heating necessarily involves the Biot number, Bi. Numerical calculations of the critical Rayleigh number, R c made over the range of Biot numbers 10 Γ€4 6 Bi 6 10 4 for cavity aspect ratios 0 6 Γ°a; bÞ 6 5 cover all effective bottom heating conditions from the constant heat flux global limit, R c ΒΌ 27:096 found as Bi ! 0 to the isothermal global limit, R c ΒΌ 4p 2 found as Bi ! 1. Marginal stability boundaries, preferred cellular modes and disturbance temperature contours are displayed graphically.

πŸ“œ SIMILAR VOLUMES

Finite element analysis of steady-state
Finite element analysis of steady-state natural convection problems in fluid-saturated porous media heated from below
✍ Zhao, Chongbin; MΓΌhlhaus, H. B.; Hobbs, B. E. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 698 KB

In this paper, a progressive asymptotic approach procedure is presented for solving the steady-state Horton-Rogers-Lapwood problem in a fluid-saturated porous medium. The Horton-Rogers-Lapwood problem possesses a bifurcation and, therefore, makes the direct use of conventional finite element methods