Physical Oceanography, Vol.
THERMOHYDRODYNAMICS OF THE OCEAN
WAVE CURRENTS GENERATED BY A MOVING LOAD IN A LIQUID
COVERED WITH ICE
A. E. Bukatov and D. D. Zav’yalov
We study horizontal wave currents generated in a liquid of finite depth by a load of constant in-
tensity moving over the floating ice cover and analyze the dependences of the space structure of
the field of wave velocities on the characteristics of the ice cover and the velocity of motion of
the load. It is shown that the velocity of wave currents caused by flexural waves can increase
with the velocity of motion of the load, whereas the wave currents caused by the gravity waves
decay monotonically. The ice compression increases the velocity of horizontal wave currents.
The extensive practical development of polar regions of the World Ocean and the shelf zones of the margi-
nal and inland seas and basins covered with ice stimulated the investigation of the wave processes running under
the action of various specific factors caused by the presence of ice cover. The analysis of the response of float-
ing ice to moving loads is one of the directions of investigations in this field. A survey of the results of inves-
tigation of flexural deformations of the ice cover caused by moving loads can be found in [1–3]. In the present
work, we study horizontal wave currents formed in the liquid under the ice cover in this case.
1. Consider a flow of an inviscid homogeneous incompressible liquid of finite depth H covered with
floating ice and assume that the ice cover is continuous and an area of constant pressure
P = Pf x y
( , ), x
moves with a velocity
-axis over its surface.
The ice drifts in the direction making an angle
-axis. In a coordinate system moving together with the indicated area of applied pressure, the components
of the vector of flow velocity can be represented in the form
α and U
where U is the modulus of this vector.
We analyze the space distribution of the amplitudes of the velocities of horizontal wave currents caused by
flexural surface waves generated in the liquid. Under the assumption that the motion of liquid is potential, we
reduce the problem of low-amplitude disturbances to the solution of the Laplace equation
ϕ = 0, –
with the following boundary conditions:
Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Sevastopol. Translated from Morskoi Gidrofizicheskii Zhurnal,
3–11, November–December, 2002. Original article submitted June 5, 2001; revision submitted June 19, 2001.
0928-5105/02/1206–0299 $27.00 © 2002 Plenum Publishing Corporation 299