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On parametric instability of viscous two-layer fluid in a vessel with a permeable bottom

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Abstract

A linear problem of parametric oscillations of a low-viscous two-layer fluid in a closed vessel partially filled with a porous medium is studied. An asymptotic solution is constructed on the basis of combined application of boundary functions and averaging methods. Approximate formulas for boundaries of instability domains in the case of subharmonic and harmonic resonances are derived.

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References

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia

    A. V. Kravtsov

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  1. A. V. Kravtsov
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Correspondence to A. V. Kravtsov.

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Original Russian Text © A.V. Kravtsov, 2007, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2007, Vol. 47, No. 11, pp. 1958–1968.

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Kravtsov, A.V. On parametric instability of viscous two-layer fluid in a vessel with a permeable bottom. Comput. Math. and Math. Phys. 47, 1875–1884 (2007). https://doi.org/10.1134/S0965542507110127

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  • DOI: https://doi.org/10.1134/S0965542507110127

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