Wave Interaction with a Floating Circular Porous Elastic Plate

  • H. BeheraEmail author
  • Siluvai Antony Selvan
  • Vinay Kumar Gupta
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 308)


Wave interaction with a circular elastic porous plate, floating in a two-layer fluid is investigated under the linearized theory of water waves. The eigenfunction expansion method—along with the Darcy’s law for wave past porous structure under the assumption that the flexible structure is having fine pores and is of homogeneous structural rigidity—is exploited to obtain an analytic solution of the problem. The plate deflection and flow distribution around the plate are further computed to study the effects of various wave and structural parameters. The study reveals that the porosity of the plate renders major part of the wave energy to dissipate.


Circular structures Eigenfunction expansion method Two-layer fluid Plate deflection Flow distribution 



HB is thankful to SERB, Government of India (Award No. CRG/2018/004521) for the financial support. VKG gratefully acknowledges the financial support from the SERB, India through “MATRICS” project MTR/2017/000693.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • H. Behera
    • 1
    Email author
  • Siluvai Antony Selvan
    • 1
  • Vinay Kumar Gupta
    • 2
  1. 1.Department of MathematicsSRM Institute of Science and TechnologyKattankulathurIndia
  2. 2.Discipline of MathematicsIndian Institute of Technology IndoreIndoreIndia

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