Effect of a Floating Elastic Plate/Membrane on the Motion Due to a Ring Source in Water With Porous Bed

R. Gayen () and Najnin Islam ()
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R. Gayen: Indian Institute of Technology
Najnin Islam: Indian Institute of Technology

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 2, 239-256

Abstract: Abstract The velocity potentials due to the presence of a horizontal circular ring of wave sources of timedependent strength in water of finite constant depth with a floating elastic plate or a floating membrane are determined. The uniform bottom is composed of non-dissipative porous medium. The problems are formulated as the initial value problems and the Laplace transform method is used to solve these. For time-harmonic source strength, the steady-state analysis of the potentials reveals the existence of outgoing progressive waves. Graphs for the surface profiles are presented for different values of the tension parameter for the membrane, flexural rigidity of ice and the porous-effect parameter.

Keywords: Ring source potential; floating elastic plate; floating membrane; porous bottom (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0266-7

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