Three-dimensional problem of disturbing an ice cover by a dipole moving in fluid

Abstract

The three-dimensional problem of disturbing an ice cover by a dipole which begins to move uniformly and rectilinearly along a horizontal in the fluid initially at rest is considered. It is shown that a steady-state ice perturbation is established in the co-moving coordinate system when the dipole moves during a long time. Analytic expressions for the deviation of the fluid-ice interface from the equilibrium position are obtained. Examples of the numerical investigation of ice-cover perturbations are given for subcritical dipole velocities.