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ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508
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COMPRESSIBILITY EFFECTS ON THE RAYLEIGH−TAYLOR INSTABILITY GROWTH BETWEEN TWO IMMISCIBLE FLUIDS THROUGH DARCY POROUS MEDIA
RÉSUMÉ
The influence of compressibility on the Rayleigh−Taylor instability problem of two fluids through porous media in the presence of surface tension is studied. A general dispersion relation has been obtained and analyzed for special cases and numerically has been discussed. The results have been compared with the previous work (incompressible and compressible case) of Livescu. For incompressible flow, the porosity of the lower layer plays a fundamental role in generating the happening stability, whereas for compressible flow, this role is attributed to the porosity of the upper layer. The growth rate for a compressible flow through porous media (the surface tension is constant) is bounded by the growth rates of the incompressible flows (classical case, from above) and the compressible case at the ratio of specific heat tending to infinity (γ → ∞, from below). Generally, the porosity beside the compressibility effect will bring about more stability on the growth rate of unstable configuration.
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Hoshoudy G. A., Awasthi Mukesh Kumar, Compressibility effects on the Kelvin–Helmholtz and Rayleigh–Taylor instabilities between two immiscible fluids flowing through a porous medium, The European Physical Journal Plus, 135, 2, 2020. Crossref