Working Paper Article Version 1 This version is not peer-reviewed

# Hydrodynamic Forces Exerted on an Oscillating Cylinder at Its Translational Motion in Water Covered by a Compressed Ice

Version 1 : Received: 20 January 2021 / Approved: 21 January 2021 / Online: 21 January 2021 (15:21:49 CET)

A peer-reviewed article of this Preprint also exists.

Stepanyants, Y.; Sturova, I. Hydrodynamic Forces Exerting on an Oscillating Cylinder under Translational Motion in Water Covered by Compressed Ice. Water 2021, 13, 822. Stepanyants, Y.; Sturova, I. Hydrodynamic Forces Exerting on an Oscillating Cylinder under Translational Motion in Water Covered by Compressed Ice. Water 2021, 13, 822.

## Abstract

We calculate the hydrodynamic forces exerted on an oscillating circular cylinder when it moves translationally perpendicular to its axis in the infinitely deep water covered by compressed ice. The cylinder can oscillate both horizontally and vertically. In the linear approximation, we find a solution for the steady wave motion generated by the cylinder within the hydrodynamic set of equations for the incompressible ideal fluid. We show that depending on the rate of ice compression, the normal and anomalous dispersion can occur in the system. In the latter case, the group velocity can be opposite to the phase velocity in a certain range of wavenumbers. We investigate the dependences of the hydrodynamic loads (added mass, damping coefficients, wave resistance, and lift force) exerting on the cylinder on the translational velocity and frequency of oscillation. It is shown that there is a possibility of the appearance of negative values for the damping coefficients at the relatively big cylinder velocity; then the wave resistance decreases with increasing of cylinder velocity. The theoretical results are underpinned by the numerical calculations for the real parameters of ice and cylinder motion.

## Keywords

Ideal fluid; deep water; ice cover; moving cylinder; hydrodynamic load; added mass; wave resistance; damping coefficient

## Subject

Environmental and Earth Sciences, Atmospheric Science and Meteorology