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The effect of a nonuniform basic temperature gradient on the convective instability of a fluid-saturated porous layer with general velocity and thermal conditions

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Summary

The effects of a nonuniform basic temperature gradient and bounding permeable walls on Rayleigh-Bénard convection in a sparsely packed porous medium are investigated using the single term Galerkin method. The nature of the boundaries dictates general boundary conditions on velocity and temperature. The classical results of free-free, rigid-free and rigid-rigid boundaries with isothermal or adiabatic boundaries are recovered as limiting cases of the present study. The multi-layer porous media problem has practical implications in situations where fluids are used as a working medium and porous media are used as dampers.

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Author notes

  1. R. P. Thangaraj (Principal)

    Present address: Jannakiammal College of Arts and Science, Kovaipudur, 641042, Coimbatore, India

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    1. R. P. Thangaraj
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    Thangaraj, R.P. The effect of a nonuniform basic temperature gradient on the convective instability of a fluid-saturated porous layer with general velocity and thermal conditions. Acta Mechanica 141, 85–97 (2000). https://doi.org/10.1007/BF01176809

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    • DOI: https://doi.org/10.1007/BF01176809

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