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

M. Sahu 1  and D. Das 1
  • 1 Diamond Harbour Women’s University, Department of Mathematics, Diamond Harbour, Road, Sarisha, Pin-743368, India

Abstract

Hydrodynamic 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.

If the inline PDF is not rendering correctly, you can download the PDF file here.

  • [1] Havelock T.H. (1955): Waves due to floating sphere making periodic heaving oscillations. – Proc. R. Soc. Lond.A231, pp.1-7.

  • [2] Ursel F. (1950): Surface wave on deep water in the presence of submerged circular cylinder. – I and II, Proc. Camb. Phil. Soc., vol.46, pp.141-155.

  • [3] Jackson J.D. (1978): Classical Electrodynamics. – Wiley Eastern.

  • [4] Morse P.H. and Feshbach H. (1953): Method of Theoretical Physics. – London: McGraw-Hill.

  • [5] Garrett C.J.R. (1971): Wave forces on a circular dock. – J. Fluid Mech., vol.46, No.01, pp.129-139.

  • [6] Evans D.V. and Linton C.M. (1989): Active devices for the radiation of wave intensity. – Appl. Ocean Res., vol.11, pp.26-32.

  • [7] Linton C.M. and McIver P. (2001): Handbook of Mathematical Techniques for Wave/Structure Interactions. – Chapman & Hall/CRC.

  • [8] Eatock Taylor R. and Hu C.S. (1991): Multipole expansions for wave diffraction and radiation in deep water. – Ocean Engng., vol.18, pp.191-224.

  • [9] Sturova I.V. (2011): Hydrodynamic loads acting on an oscillating cylinder submerged in a stratified fluid with ice cover. – J. Appl. Mech. Tech. Phys., vol.52, pp.415-426.

  • [10] Thakur N. and Das D. (2017): Hydrodynamic forces on a submerged horizontal circular cylinder in water with an ice-cover. – Iranian J. Sci. Tech. Trans. A: Sci., vol.41, pp.837-842.

  • [11] Li Z.F., Wu G.X and Ji C.Y. (2018): Wave diffraction by a circular crack in an ice sheet floating on water of finite depth. – Phys. Fluid. 30.

  • [12] Fox C. and Squire V.A. (1994): On the oblique reflection and transmission of ocean waves at shore fast sea ice. – Phil. Trans. R. Soc. A347, pp.185-218.

  • [13] Throne R.C. (1953): Multipole expansions in the theory of surface waves. – Proc. Comb. Phil. Soc., vol.49, pp.707-716.

OPEN ACCESS

Journal + Issues

Search