Wave motion in an ice covered ocean due to small oscillations of a submerged thin vertical plate

Paramita Maiti , Puspendu Rakshit , Sudeshna Banerjea

Journal of Marine Science and Application ›› 2015, Vol. 14 ›› Issue (4) : 355 -365.

PDF
Journal of Marine Science and Application ›› 2015, Vol. 14 ›› Issue (4) : 355 -365. DOI: 10.1007/s11804-015-1326-6
Article

Wave motion in an ice covered ocean due to small oscillations of a submerged thin vertical plate

Author information +
History +
PDF

Abstract

In this paper we study the problem of generation of surface waves produced by small oscillation of a thin vertical plate submerged in deep ice covered ocean. Two particular problems are considered here viz, the problem of wave generation due to a) rolling of the plate and b) presence of a line source in front of a fixed vertical plate. The amplitude of radiated waves at large distances from the plate, for both problems, is obtained by a suitable application of Green’s integral theorem. These are then studied graphically for various values of the ice cover parameter.

Keywords

ice covered ocean / small oscillations / a thin plate / wave motion / wave amplitude / line source / Green’s integral theorem

Cite this article

Download citation ▾
Paramita Maiti, Puspendu Rakshit, Sudeshna Banerjea. Wave motion in an ice covered ocean due to small oscillations of a submerged thin vertical plate. Journal of Marine Science and Application, 2015, 14(4): 355-365 DOI:10.1007/s11804-015-1326-6

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Banerjea S, Dolai DP, Mandal BN. On waves due to rolling of a ship in water of finite depth. Archive of Applied Mechanics, 1996, 67(1): 35-43

[2]

Banerjea S, Dolai DP, Mandal BN. On waves due to rolling of a plate submerged in finite depth water. Applied Mechanics and Engineering, 1997, 2(2): 285-297

[3]

Banerjea S, Dutta B. On waves generated due to a line source in front of a vertical wall with a gap. Int. J. of Appl. Math. and Engng. Sci., 2008, 2: 99-106

[4]

Banerjea S, Kar CC. On waves due to a line source in front of a vertical wall with a gap. Arcives of Mechanics, 1998, 50(5): 917-926

[5]

Banerjea S, Rakshit P, Maiti P. On the waves generated due to a line source present in an ocean with an ice cover and a small bottom undulation. Fluid Dynamic Research, 2011, 43(2): 384-410

[6]

Chakrabarti A, Ahluwalia DS, Manam SR. Surface water waves involving a vertical barrier in the presence of an ice-cover. International Journal of Engineering Science, 2003, 41(10): 1145-1162

[7]

Chowdhury R. Water wave scattering by obstacles and surface discontinuities, 2004, Calcutta, India: Ph.D. thesis, Calcutta University

[8]

Chung H, Fox C. Calculation of wave-ice interaction using the Wiener-Hopf technique. New Zealand Journal of Mathematics, 2002, 31(1): 1-18

[9]

Das D, Mandal BN. Wave scattering by a horizontal circular cylinder in a two-layer fluid with an ice-cover. International Journal of Engineering Science, 2007, 45(10): 842-872

[10]

Evans DV. Diffraction of surface waves by a submerged vertical plate. J. Fluid Mech., 1970, 40: 433-451

[11]

Evans DV. A note on the waves produced by small oscillations of a partially vertical plate. IMA Journal of Applied Mathematics, 1976, 17(2): 135-140

[12]

Fox C, Squire VA. Reflection and transmission characteristics at the edge of shore fast sea ice. Journal of Geophysical Research Atmospheres, 1990, 95(C7): 629-639

[13]

Fox C, Squire VA. Strain in shore fast ice due to incoming ocean waves and swell. Journal of Geophysical Research Atmospheres, 1991, 96(C3): 4531-4547

[14]

Fox C, Squire VA. On the oblique reflection and transmission of ocean waves at shore fast sea-ice. Philosophical Transactions: Physical Sciences and Engineering, 1994, 347(1682): 185-218

[15]

Journal of Geophysical Research (Oceans), 2008, 113(C9):

[16]

Landau LD, Lipschitz EM. Fluid Mechanics, 1989, Oxford, UK: Pergamon Press

[17]

Linton CM, Chung H. Reflection and transmission at the ocean/ sea-ice boundary. Wave Motion, 2003, 38(1): 43-52

[18]

Maiti P, Mandal BN. Wave scattering by a thin vertical barrier submerged beneath an ice-cover in deep water. Applied Ocean Research, 2010, 32(4): 367-373

[19]

Maiti P, Rakshit P, Banerjea S. Scattering of water waves by thin vertical plate submerged below ice-cover surface. Applied Mathematics and Mechanics, 2011, 32(5): 635-644

[20]

Mandal BN. On waves due to small oscillations of a vertical plate submerged in deep water. Journal of the Australian Mathematical Society, Series B: Applied Mathematics, 1991, 32(3): 296-303

[21]

Mandal BN, Chakrabarti A. Water wave scattering by barriers, 2000, Southampton, UK: WIT Press

[22]

Meylan M, Squire VA. The response of ice floes to ocean waves. Journal of Geophysical Research, 1994, 99(C1): 891-900

[23]

Newmann JN. Wave effects on deformable bodies. Applied Ocean Research, 1994, 16(1): 45-101

[24]

Parsons NF, Martin PA. Scattering of water waves by submerged plates using hypersingular integral equations. Applied Ocean Research, 1992, 14(5): 313-321

[25]

Rakshit P, Banerjea S. Effect of bottom undulation on the waves generated due to rolling of a plate. Journal Marine Science Application, 2011, 10(1): 7-16

[26]

Squire VA. Review of ocean waves and sea-ice revisited. Cold Regions Science and Technology, 2007, 49(2): 110-133

[27]

Torri T, Ohkubo H, Hayashi N, Matsuoka K, Kanai H. Development of a very large floating structure. Nippon Steel Technical Report, 2000, 82: 23-34

[28]

Ursell F. On the waves due to rolling of a ship. Quarterly Journal of Mechanics and Applied Mathematics, 1948, 1(1): 246-252

[29]

Wadhams P. Wave decay in the mrginal ice zone measured from submarine. Deep-sea Research, 1978, 25: 23-40

[30]

Wang CM, Tay ZY, Takagi K, Utsunomiya T. Review of methods for mitigating hydroelastic response of VLFS under wave action. Applied Mechanics Reviews, 2010, 63(3): 1-18

[31]

Watanabe E, Utsunomiya T, Wang CM. Hydroelastic analysis of pantoon-type VLFS: a literature survey. Engineering Structure, 2004, 26(2): 245-256

AI Summary AI Mindmap
PDF

153

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/