Hydrodynamic Forces on a Submerged Horizontal Circular Cylinder in Uniform Finite Depth Ice Covered Water

AbstractHydrodynamic forces on a submerged cylinder in uniform finite depth ice-covered water is formulated by using the method of multipoles, the ice-cover being modelled as an elastic plate of very small thickness. The forces (vertical and horizontal) are obtained analytically as well as numerically and depicted graphically for various values of flexural rigidity of the ice-cover to show the effect of its presence. When the flexural rigidity and surface density of the ice-cover are taken to be zero, then the curves for the forces almost coincide with the curves for the case of uniform finite depth water with free surface.

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Hydrodynamic Forces on a Submerged Circular Cylinder in Two-layer Fluid with an Ice-cover

Journal of University of Shanghai for Science and Technology ◽

10.51201/jusst/21/08392 ◽

2021 ◽

Vol 23 (08) ◽

pp. 282-294

Author(s):

Manomita Sahu ◽

◽

Dilip Das ◽

Keyword(s):

Free Surface ◽

Circular Cylinder ◽

Flexural Rigidity ◽

Lower Layer ◽

Wave Theory ◽

Finite Depth ◽

Ice Cover ◽

Hydrodynamic Forces ◽

Wave Number ◽

Infinite Layer

We consider problems based on linear water wave theory concerning the interaction of wave with horizontal circular cylinder submerged in two-layer ocean consisting of a upper layer of finite depth bounded above by an ice-cover and below by an infinite layer of fluid of greater density, the ice-cover being modelled as an elastic plate of very small thickness. Using the method of multipoles, we formulate the problems of hydrodynamic forces on a submerged cylinder in either the upper or the lower layer. The vertical and horizontal forces on the circular cylinder are obtained and depicted graphically against the wave number for various values of flexural rigidity of ice-cover to show the effect of the presence of ice-cover on these quantities. Also when the flexural rigidity and surface density of the ice-cover are taken to be zero, the ice-cover tends to a free-surface. Then all the forces are the same as in the case of two-layer fluid with free surface.

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EFFECTS OF SURFACE TENSION ON TRAPPED MODES IN A TWO-LAYER FLUID

The ANZIAM Journal ◽

10.1017/s1446181115000188 ◽

2015 ◽

Vol 57 (2) ◽

pp. 189-203 ◽

Cited By ~ 1

Author(s):

S. SAHA ◽

S. N. BORA

Keyword(s):

Surface Tension ◽

Free Surface ◽

Circular Cylinder ◽

Boundary Value Problems ◽

Finite Depth ◽

Trapped Modes ◽

Trapped Waves ◽

Linearized Theory ◽

Horizontal Circular Cylinder ◽

Effect Of Surface

We consider a two-layer fluid of finite depth with a free surface and, in particular, the surface tension at the free surface and the interface. The usual assumptions of a linearized theory are considered. The objective of this work is to analyse the effect of surface tension on trapped modes, when a horizontal circular cylinder is submerged in either of the layers of a two-layer fluid. By setting up boundary value problems for both of the layers, we find the frequencies for which trapped waves exist. Then, we numerically analyse the effect of variation of surface tension parameters on the trapped modes, and conclude that realistic changes in surface tension do not have a significant effect on the frequencies of these.

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Water wave scattering by a sphere submerged in uniform finite depth water with an ice-cover

Marine Structures ◽

10.1016/j.marstruc.2012.11.001 ◽

2013 ◽

Vol 30 ◽

pp. 63-73 ◽

Cited By ~ 6

Author(s):

Dilip Das ◽

Nityananda Thakur

Keyword(s):

Water Wave ◽

Wave Scattering ◽

Finite Depth ◽

Ice Cover ◽

Water Wave Scattering ◽

Depth Water

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Hydrodynamic Forces on a Submerged Horizontal Circular Cylinder in Water with an Ice Cover

Iranian Journal of Science and Technology Transactions A Science ◽

10.1007/s40995-016-0044-5 ◽

2016 ◽

Vol 41 (3) ◽

pp. 837-842 ◽

Cited By ~ 2

Author(s):

Nityananda Thakur ◽

Dilip Das

Keyword(s):

Circular Cylinder ◽

Ice Cover ◽

Hydrodynamic Forces ◽

Horizontal Circular Cylinder

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Water Wave Scattering by an Infinite Step in the Presence of an Ice-Cover

International Journal of Applied Mechanics and Engineering ◽

10.2478/ijame-2019-0055 ◽

2019 ◽

Vol 24 (4) ◽

pp. 157-168

Author(s):

S. Ray ◽

S. De ◽

B.N. Mandal

Keyword(s):

Integral Equation ◽

Free Surface ◽

Water Wave ◽

Wave Scattering ◽

Fluid Velocity ◽

Galerkin Approximation ◽

Classical Problem ◽

Finite Depth ◽

Ice Cover ◽

Water Wave Scattering

Abstract The classical problem of water wave scattering by an infinite step in deep water with a free surface is extended here with an ice-cover modelled as a thin uniform elastic plate. The step exists between regions of finite and infinite depths and waves are incident either from the infinite or from the finite depth water region. Each problem is reduced to an integral equation involving the horizontal component of velocity across the cut above the step. The integral equation is solved numerically using the Galerkin approximation in terms of simple polynomial multiplied by an appropriate weight function whose form is dictated by the behaviour of the fluid velocity near the edge of the step. The reflection and transmission coefficients are obtained approximately and their numerical estimates are seen to satisfy the energy identity. These are also depicted graphically against thenon-dimensional frequency parameter for various ice-cover parameters in a number of figures. In the absence of ice-cover, the results for the free surface are recovered.

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