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On the surface and internal gravitational waves in a three-layer immiscible liquid

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Abstract

A capillary–gravitational periodic wave motion in a laminated three-layer liquid is theoretically studied in terms of a linear mathematical model. Two upper layers are of a finite thickness, whereas the bottom layer is indefinitely deep. A dispersion relation is derived. Two analytical expressions for the internal-to-internal and internal-to-surface wave amplitude ratios are found. It is shown that the internal-to-surface wave amplitude ratio may be large if the densities of the respective liquids are close to each other.

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Authors and Affiliations

  1. Demidov State University, Sovetskaya ul. 14, Yaroslavl, 150000, Russia

    S. O. Shiryaeva, A. I. Grigor’ev & L. S. Yakovleva

Authors
  1. S. O. Shiryaeva
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  2. A. I. Grigor’ev
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  3. L. S. Yakovleva
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Correspondence to A. I. Grigor’ev.

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Original Russian Text © S.O. Shiryaeva, A.I. Grigor’ev, L.S. Yakovleva, 2015, published in Zhurnal Tekhnicheskoi Fiziki, 2015, Vol. 60, No. 12, pp. 40–44.

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Shiryaeva, S.O., Grigor’ev, A.I. & Yakovleva, L.S. On the surface and internal gravitational waves in a three-layer immiscible liquid. Tech. Phys. 60, 1772–1777 (2015). https://doi.org/10.1134/S1063784215120208

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  • DOI: https://doi.org/10.1134/S1063784215120208

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