Hydrodynamic loads during acceleration of a cylinder under a free surface

The accelerated motion of a circular cylinder from the state of rest under the free surface of an infinitely deep ideal fluid was studied. The original mathematical formulation of the problem was reduced to an integrodifferential system of equations for the function specifying the free surface shape and for the normal and tangential velocity components on the free surface. An analytic continuation of the velocity field into the flow region was constructed, and the unsteady loads acting on the cylinder in the initial phase of motion were determined.