Waves on a compressed floating ice plate caused by motion of a dipole in water

Stepanyants, Yury; Sturova, I. V.

doi:10.1017/jfm.2020.764

Cited by 20 publications

(24 citation statements)

References 24 publications

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“…In this paper, which continues our previous study [18] and further develops the results of Ref. [14], we examine in detail the effect of compressed floating ice cover on the hydrodynamic loads exerted on the translationally moving and oscillating circular cylinder submerged in water.…”

Section: Introductionmentioning

confidence: 56%

“…It is assumed that the lower boundary of the ice plate is always in contact with the water. By denoting as w(x, t) the vertical displacements of the ice cover from the undisturbed flat position, the kinematic and dynamic conditions at the upper boundary of the fluid (at y = 0) can be written as [18]:…”

Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

“…The dispersion relation of FGW relating the frequency ω of harmonic waves of infinitesimal amplitude with the wavenumber k is (see, e.g., [2,18,22]):…”

Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

“…There is one more critical value of the parameter Q such that for Q < Q 0 < Q * the group velocity of FGW is positive for all wavenumbers k ≥ 0. Such a case when c g > 0 is called normal dispersion in contrast to the case of anomalous dispersion for Q 0 < Q < Q * , which is characterised by the presence of a wavenumber interval within which the group velocity is negative (details can be found in [18]). Both critical values Q * and Q 0 , as well as the corresponding wavenumbers k * and k 0 , can be determined from the solution of two simultaneous equations c g (k) = 0 and dc g /dk = 0.…”

Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

“…However, this problem becomes rather complex from the theoretical point of view since it leads to a wide variety of possible cases due to a rather complex dispersion relation for this type of waves (see, e.g., [15][16][17][18]). The recently published work by the current authors [18] contains a study of FGWs generated by a dipole moving horizontally at some depth under the ice and oscillating along the direction of motion. Neglecting the effects of viscosity in water and in an ice plate, the basic equations of wave motion for a fluid of finite depth are derived.…”

Section: Introductionmentioning

confidence: 99%

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Hydrodynamic Forces Exerting on an Oscillating Cylinder under Translational Motion in Water Covered by Compressed Ice

Stepanyants

Sturova

2021

Water

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This paper presents the calculation of the hydrodynamic forces exerted on an oscillating circular cylinder when it moves perpendicular to its axis in infinitely deep water covered by compressed ice. The cylinder can oscillate both horizontally and vertically in the course of its translational motion. In the linear approximation, a solution is found for the steady wave motion generated by the cylinder within the hydrodynamic set of equations for the incompressible ideal fluid. It is shown that, depending on the rate of ice compression, both 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. The dependences of the hydrodynamic loads exerted on the cylinder (the added mass, damping coefficients, wave resistance and lift force) on the translational velocity and frequency of oscillation were studied. It was 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 the increase in cylinder velocity. The theoretical results were underpinned by the numerical calculations for the real parameters of ice and cylinder motion.

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Section: Introductionmentioning

confidence: 56%

Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

“…The dispersion relation of FGW relating the frequency ω of harmonic waves of infinitesimal amplitude with the wavenumber k is (see, e.g., [2,18,22]):…”

Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Hydrodynamic Forces Exerting on an Oscillating Cylinder under Translational Motion in Water Covered by Compressed Ice

Stepanyants

Sturova

2021

Water

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A Review of Ice Deformation and Breaking Under Flexural-Gravity Waves Induced by Moving Loads

Ni,

Xiong,

Han

et al. 2024

J. Marine. Sci. Appl.

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Ice-breaking methods have become increasingly significant with the ongoing development of the polar regions. Among many ice-breaking methods, ice-breaking that utilizes a moving load is unique compared with the common collision or impact methods. A moving load can generate flexural-gravity waves (FGWs), under the influence of which the ice sheet undergoes deformation and may even experience structural damage. Moving loads can be divided into above-ice loads and underwater loads. For the above-ice loads, we discuss the characteristics of the FGWs generated by a moving load acting on a complete ice sheet, an ice sheet with a crack, and an ice sheet with a lead of open water. For underwater loads, we discuss the influence on the ice-breaking characteristics of FGWs of the mode of motion, the geometrical features, and the trajectory of motion of the load. In addition to discussing the status of current research and the technical challenges of ice-breaking by moving loads, this paper also looks ahead to future research prospects and presents some preliminary ideas for consideration.

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