The features of fluid oscillations in a rectangular vessel with local bottom irregularities
Authors: Kalinichenko V.A., Korovina L.I., Nesterov S.V., Aung Naing Soe
Published in issue: #12(36)/2014
DOI: 10.18698/2308-6033-2014-12-1345
Category: Mathematic modeling | Chapter: Modeling aerohydrodynamics
The article describes the results of laboratory experiments devoted to the estimation of bottom topography influence on the stationary surface waves’ frequencies and forms in a rectangular vessel which oscillates in vertical direction. The effect of one or two elevations at a horizontal bottom and at a linear shoal is considered properly. The resonance deviation with respect to the obstruction position changing is investigated in the experiment at a linear inclined bottom. The mathematical model of seiches based on the accelerated convergence was used to explain the results of experiment in case of abrupt elevation.
References
[1] Sretensky L.N. Teoriya volnovykh dvizheniy zhidkosti [Theory of wave motions of fluid]. Moscow-Leningrad, ONTI NKTP USSR, 1936, 303 p.
[2] Defant A. Physical Oceanography. Vol. 2. Oxford, Pergamon Press, 1961, 598 p.
[3] Arsenyeva N.M., Davydov L.K., Dubrovina L.N., Konkina N.G. Seishi na ozerakh SSSR [Seiches on the lakes of the USSR]. Leningrad, LSU Publ., 1963, 183 p.
[4] Rabinovich A.B. Seiches and harbor oscillations. Handbook of Coastal and Ocean Engineering. Y.C. Kim, ed. Singapoure. World Scientific Publ., 2009, vol. 9, pp. 193-236.
[5] Praudman J. Dinamicheskaya okeanografiya [Dynamic Oceanography]. Moscow, Inostrannaya literature Publ., 1957, 418 p. [in Russian].
[6] Miles J.W. Harbor seiching. Ann. Rev. FluidMech, 1974, vol. 6, pp. 17-33.
[7] Prigo R.B., Manley T.O., Connell B.S.H. Linear, one-dimensional models of the surface and internal standing waves for a long and narrow lake. Am. J. Phys, 1996, vol. 64, no. 3, pp. 288-300.
[8] Smirnov S.V., Kucher K.M., Granin N.G., Sturova I.V. Izvestiya RAN. Fizika atmosfery i okeana - Izvestiya RAS. Atmospheric and Oceanic Physics, 2014, vol. 50b, no. 1, pp. 105-116.
[9] Akulenko L.D., Kalinichenko V.A., Nesterov S.V. Izvestiya RAN. Mekhanika zhidkosti i gaza - Fluid Dynamics, 2012, no. 3, pp. 103-111.
[10] Ibrahim R.A. Liquid sloshing dynamics: theory and applications. Cambridge Univ. Press, 2005, 948 p.
[11] Kolesnikov K.S. Dinamika raket [Dynamics of Missiles]. Moscow, Mashinostroenie Publ., 2003, 520 p.
[12] Mikishev G.N., Rabinovich B.I. Dinamika tonkostennykh konstruktsiy s otsekami, soderzhaschimi zhidkost [Dynamics of thing-walled structures with sections containing liquid]. Moscow, Mashinostroenie Publ., 1971, 563 p.
[13] Kalinichenko V.A., Nesterov S.V., Sekerzh-Zenkovich S.Ya., Chaikovsky A.A. Izvestiya RAN. Mekhanika zhidkosti i gaza - Fluid Dynamics, 1995, no. 1, pp. 122-129.
[14] Akulenko L.D., Nesterov S.V. High-precision methods in eigenvalue problems and their applications. Boca Raton, CRC Press, 2005, 255 p.