Особенности колебаний жидкости в прямоугольном сосуде…
13
The features of fluid oscillations in a rectangular vessel
with local bottom irregularities
© V.А. Kalinichenko , L.I.
1
Кorovina , S.V. Nesterov ,
2
1
А.N. Soe
3
1
Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526, Russia
2
Plekhanov Russian University of Economics, Moscow, 117997, Russia
3
Bauman Moscow State Technical University, Moscow, 105005, Russia
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 eleva-
tions 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 experi-
ment at a linear inclined bottom. The mathematical model of seiches based on the accel-
erated convergence was used to explain the results of experiment in case of abrupt eleva-
tion.
Key words:
stationary surface waves, bottom topography, accelerated convergence, res-
onance dependence, frequency deviation, seiches
.
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 oze-
rakh 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]. Mos-
cow, Inostrannaya literature Publ., 1957, 418 p. [in Russian].
[6] Miles J. W. Harbor seiching.
Ann. Rev. Fluid Mech
., 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
—
I
zvestiya 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, Mashi-
nostroenie 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.