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1 International Journal of Applied Mechanics and Engineering

1 2007

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Waves generated by bottom disturbance in an ice-covered ocean

Maiti P., Mandal B. N.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 2

477-486

The problem is concerned with a two-dimensional unsteady motion in an ice-covered ocean due to the transient bottom disturbance, the ice-cover being formed by a thin sheet of ice modelled as an elastic plate. Assuming linear theory, the problem is solved as an initial value problem in the velocity potential describing the motion in the fluid. Using the Laplace and Fourier transforms in time and space respectively, the depression of the ice-cover below its mean horizontal position, is obtained in terms of an integral. This integral is evaluated asymptotically for large time and distance by the method of stationary phase. Leading waves due to a transient disturbance are also obtained. The asymptotic form of the depression of the ice-cover is depicted graphically in a number of figures for different forms of the bottom disturbance and compared with the case when the upper surface is free, so as to visualize the effect of the presence of ice.