Seiches in a channel with a sharp variation in the bottom relief

Акуленко, Л. Д.; Калиниченко, В. А.; Нестеров, С. В.

doi:10.1134/s001546281203012x

Cited by 10 publications

(4 citation statements)

References 3 publications

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“…The frequencies ω (1) n corresponding to the barotropic seiches depend of the density stratification only slightly, whereas the baroclinic seiche frequencies ω (2) n considerably depend on the relative density difference between the layers. In the case of a homogeneous fluid ρ 1 = ρ 2 (ε = 0 and γ = 1) the baroclinic seiches are absent, while for the barotropic seiches in the ε → 0 limit F 1 = 2B 1 /S, where S = S 1 + S 2 .…”

Section: Theorymentioning

confidence: 97%

“…In the case in which the values of B j and S j ( j = 1, 2) are constant along the reservoir midline the solution of problem (1.6)-(1.8) can be found in the analytical form, in the same fashion as in [3] for a two-dimensional rectangular reservoir. There exist two infinite successions of the frequencies of the natural oscillations of the fluid ω (1) n and ω (2) n for the barotropic and baroclinic seiches, respectively (5), and support (6).…”

Section: Theorymentioning

confidence: 99%

See 1 more Smart Citation

Seiche oscillations in a reservoir filled with a double-layer fluid

2014

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Surface and internal seiches in a rectangular sloping reservoir filled with a double-layer fluid are theoretically and experimentally investigated. The one-dimensional calculations are performed within the framework of the linear shallow-water theory, under the assumption of a long and narrow basin. An analytical solution of the problem is derived for a basin with constant cross-sectional areas in either layer and constant cross-section widths at the free surface and layer-layer interface levels. The one-dimensional model is shown to well describe the oscillation eigenfrequencies and the position of the nodes of the surface and internal seiches.Seiches are standing waves in a closed or half-closed basin. In the nature the seiches are generated by wind setup, variation in the atmospheric pressure, seismic activity, landslides, and other disturbances. The salient feature of these disturbances is that they act for a relatively short time and in the beginning generate traveling waves, usually in the form of moving hydraulic jumps. As a result, the wave pattern in a closed basin for a long time represents the result of superimposed seiches and traveling waves. This distinctive feature of the disturbances is also typical of benchmark experiments.At present, much research, both full-scale and benchmark and theoretical, has been done under the assumption that the fluid density is constant. These seiches are called barotropic (surface), since for them maximum elevations of fluid particles occur on the free surface. A comparison of the theoretical results with the data of a laboratory experiment for barotropic seiches in a channel with sharp variation in the bottom relief is presented in [1]. In density-stratified basins, along with the barotropic seiches, there can exist also baroclinic (internal) seiches in which maximum fluid deviations from the undisturbed state take place within the fluid. The internal seiches have a considerable effect on the transfer and the mixing in the water medium of lakes and seas, which results in the redistribution of chemical and biological substances. An overview of the studies concerned with the internal seiches can be found in [2,3]. The purpose of this study is to experimentally verify a method for calculating barotropic and baroclinic seiche oscillations in the one-dimensional formulation with reference to the example of waves in a rectangular basin with sloping bottom.

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Section: Theorymentioning

confidence: 97%

Section: Theorymentioning

confidence: 99%

Seiche oscillations in a reservoir filled with a double-layer fluid

2014

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“…The formation of the nodes on the end walls is one of the distinctive features of the problem of forced waves in an oscillating container, as compared with the problem of free waves in a fixed container. In the case of seiche oscillations in a fixed container it is the antinodes of standing waves that are formed on the container walls [15].…”

Section: Experimental Datamentioning

confidence: 99%

Water waves in a longitudinally oscillating container

Bukreev

Chebotnikov

2015

Fluid Dyn

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The results of an experimental investigation of surface gravity waves in a rectangular container partially filled with water and oscillating in the horizontal direction in accordance with the harmonic law are presented. The data obtained are, in particular, used to verify the theoretical solution by L.N. Sretenskii predicting the existence of an infinite denumerable set of resonance wave generation regimes. These regimes occur at the container oscillation frequencies coinciding with the odd eigen frequencies of the fluid oscillations. In the experiments in the resonance regimes the waves break up with the formation of cumulative jets. From the experiments it follows that at the container oscillation frequencies coinciding with the even eigen frequencies of the fluid oscillations the wave amplitudes and the energy received by them are minimum.

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“…A detailed description of such experiments for Lake Baikal is presented in [12]. The main properties of standing waves in a narrow channel of rectangular cross section and constant width in the presence of a local sharp rise of the bottom have been determined theoretically and confirmed by laboratory experiments [13]. The purpose of this paper is to employ the methods of calculation [9,10] of free oscillations for a closed rectangular channel with sharply varying cross-sectional width.…”

Section: Introductionmentioning

confidence: 99%

Seiche oscillations in a rectangular channel with an abrupt expansion of the cross section

Bukreev

Sturova

Chebotnikov

2013

J Appl Mech Tech Phy

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The natural frequencies and modes of seiche oscillations in a closed water reservoir consisting of a long narrow channel connected to a wide basin were investigated theoretically and experimentally. Calculations were made using linear shallow-water theory in two-dimensional and one-dimensional formulations. The spectral properties of free-surface oscillations at points lying on the nodal lines of the first four modes of seiche oscillations were studied experimentally. The one-dimensional model adequately predicts lower-mode frequencies, but the data on the positions of the nodal points of seiche oscillations obtained using this model are somewhat different from those obtained experimentally and using the two-dimensional model.

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Seiches in a channel with a sharp variation in the bottom relief

Cited by 10 publications

References 3 publications

Seiche oscillations in a reservoir filled with a double-layer fluid

Seiche oscillations in a reservoir filled with a double-layer fluid

Water waves in a longitudinally oscillating container

Seiche oscillations in a rectangular channel with an abrupt expansion of the cross section

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