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Raman, S. V. (2011)
Publisher: Co-Action Publishing
Journal: Tellus A
Languages: English
Types: Article
The problem of solitary wave at the interface of two immiscible ideal fluids in a channel of arbitrary cross section and infinite length is investigated, and expressions for wave profile and speed are obtained. It is shown that when the two fluids are of nearly equal density, then the wave is of elevation (or depression) when the lower (or upper) layer is shallower of the two. The particular case of a rectangular channel is discussed in detail, and the results correspond to those of Long [1956] and Benjamin [1966].DOI: 10.1111/j.2153-3490.1968.tb00408.x
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    • Benjamin, T. B. 1962. The solitary wave on a stream with a n arbitrary distribution of vorticity. Jour. of Fluid Mech., 12, 97-116.
    • Benjamin, T. B., 1966, Internal waves of finite amplitude and permanent form. Jour. of Fluid Mech., 25, 241-270.
    • Long, R. R. 1956. Solitary waves in one- and twofluid systems. Tellwr 8, 460-471.
    • Long, R. R. & Morton, J. B. 1966. Solitary waves in compressible, stratified fluids. Tellus 18, 77-85.
    • Milne-Thomson, L. M. 1964. An exact integral equation for the solitary wave. Rev. Roum. Sci. Techn. Mec. Appl., Tome 9, 11861194.
    • Peters, A. S. & Soker, J. J. 1960. Solitary waves in liquids having non-constant density. Com. Pure Appl. Math., 13, 115-164.
    • Peters, A. S. 1966. Rotational and irrotational solitary waves in a channel with arbitrary cross section. Corn. Pure Appl. M a t h . 19, 445-471.
    • Ter-Krikorov, A. M. 1961. The solitary wave on the surface of a fluid with vorticity. Zh. Vychisl. Mat. i Mat. Fiz., 1, 1077-1088.
    • Shen, M. C. 1965. Solitary waves in running gases. New York Univ. Inst. Math. Sci., Rep. IMM-NYU 341.
    • Shen, M. C. 1966. Solitary waves in a n atmosphere with arbitrary wind and density profiles. The Physics 01 Fluids 9, 1944-1950.
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