Unsteady motion of a source in a fluid under a floating plate

Pogorelova, Alexandra V.

doi:10.1134/s0021894411050051

Cited by 12 publications

(9 citation statements)

References 3 publications

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“…For the conditions of the calculations, accurate evaluation of the inverse Fourier transforms was achieved by limiting the integration intervals to (0, 200) with variable steps of integration from 0.1 to 1. The dipole potential, ϕ D (x, y, y 0 , 0, z 0 ), on the ice-water interface is determined by the double series (12) and (13).…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The three-dimensional shape of a body in the channel, which corresponds to the potential (13), is difficult to analyse. It is expected that the shape of the corresponding body is close to a sphere for a dipole of small strength placed in the middle of the channel cross section, and is a deformed sphere for a dipole placed near a wall.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…where ϕ D is given by (13) and w( x, y) is the solution of the problem (23), (2). The Neumann boundary problem ( 14) -( 16), ( 24) has a solution only if the integral of the right-hand side in (24) over the ice cover is zero.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…The potential ϕ D in the right-hand side of ( 27) is given by (13) written in the dimensionless variables. Note that…”

Section: The Ice Deflection By a Weak Dipolementioning

confidence: 99%

“…The obtained theoretical results were compared with the experimental results for a submarine moving under a continuous ice plate. Motion of a single source under the ice was investigated in [13].…”

Section: Introductionmentioning

confidence: 99%

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Ice response to an underwater body moving in a frozen channel

Shishmarev

Хабахпашева

Korobkin

2019

Applied Ocean Research

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Strains in the ice cover of a frozen channel, which are caused by a body moving under the ice at a constant speed along the channel, are studied. The channel is of rectangular cross section, the fluid in the channel is inviscid and incompressible. The ice cover is modeled by a thin viscoelastic plate clamped to the channel walls. The underwater body is modeled by a three-dimensional dipole. The intensity of the dipole is related to the speed and size of the underwater body. The problem is considered within the linear theory of hydroelasticity. For small deflections of the ice cover the velocity potential of the dipole in the channel is obtained by the method of images without account for ice deflection in the leading order. The problem of a dipole moving in the channel with rigid walls provides the hydrodynamic pressure on the upper boundary of the channel, which corresponds to the ice cover. This pressure distribution does not depend on the deflection of the ice cover in the leading approximation. The deflections of ice and the strains in the ice cover are independent of time in the coordinate system moving together with the dipole. The problem is solved numerically using the Fourier transform along the channel, the method of normal modes across the channel, and the truncation method for resulting infinite systems of linear equations. It was revealed that the strains in the ice strongly depend on the speed of the dipole with respect to the critical speeds of the hydroelastic waves propagating along the frozen channel. The width of the channel matters even it is much larger than the characteristic length of the ice cover.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Formulation Of the Problemmentioning

confidence: 99%

“…The potential ϕ D in the right-hand side of ( 27) is given by (13) written in the dimensionless variables. Note that…”

Section: The Ice Deflection By a Weak Dipolementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Ice response to an underwater body moving in a frozen channel

Shishmarev

Хабахпашева

Korobkin

2019

Applied Ocean Research

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Translating and pulsating Green function with an ice cover

Hao

Pan

2022

J Eng Math

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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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Unsteady motion of a source in a fluid under a floating plate

Cited by 12 publications

References 3 publications

Ice response to an underwater body moving in a frozen channel

Ice response to an underwater body moving in a frozen channel

Translating and pulsating Green function with an ice cover

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

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