Abstract:
Propagation of internal waves over a circular cylinder under the conditions of a continuous stratification characterized by the presence of a high-gradient density layer (the pycnocline) of finite thickness is studied. The dependences of the coefficent of wave propagation on the wavelength of the first-mode incident wave for various thicknesses of the pycnocline are obtained. In the diffraction of internal waves, substantial nonlinear effects are shown to occur, which result in the appearance of waves of double oscillation frequency compared to the frequency of the incident waves. The generation coefficient for these waves is found.
Citation:
N. V. Gavrilov, E. V. Yermanyuk, “Diffraction of internal waves by a circular cylinder near the pycnocline”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999), 79–85; J. Appl. Mech. Tech. Phys., 40:2 (1999), 258–262
\Bibitem{GavYer99}
\by N.~V.~Gavrilov, E.~V.~Yermanyuk
\paper Diffraction of internal waves by a circular cylinder near the pycnocline
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 2
\pages 79--85
\mathnet{http://mi.mathnet.ru/pmtf3057}
\elib{https://elibrary.ru/item.asp?id=35309310}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 2
\pages 258--262
\crossref{https://doi.org/10.1007/BF02468522}
Linking options:
https://www.mathnet.ru/eng/pmtf3057
https://www.mathnet.ru/eng/pmtf/v40/i2/p79
This publication is cited in the following 2 articles:
N. V. Gavrilov, V. Yu. Lyapidevskii, “Finite-amplitude solitary waves in a two-layer fluid”, J. Appl. Mech. Tech. Phys., 51:4 (2010), 471–481
E. V. Yermanyuk, N. V. Gavrilov, “Experimental study of the dynamic effect of an internal solitary wave on a submerged circular cylinder”, J. Appl. Mech. Tech. Phys., 46:6 (2005), 800–806