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Archive of Applied Mechanics
Published in: Archive of Applied Mechanics 9/2022

09-07-2022 | Original

Linear water wave propagation in the presence of an inclined flexible plate with variable porosity

Authors: Mansi Singh, R. Gayen, Souvik Kundu

Published in: Archive of Applied Mechanics | Issue 9/2022

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Abstract

Thin porous flexible structures serve as an effective model for construction of breakwaters. Thus, many researchers have studied wave interaction with porous elastic plates with different configurations and orientations. However, in all the works, the porosity has been treated to be constant. In the present paper, we investigate the scattering of water waves by an inclined flexible plate with variable porosity, using the concepts of linear water wave theory. The plate is submerged in deep water, and its porosity varies along the length of the plate. Different plate end conditions like free-free, clamped-free and clamped-moored are considered. Two different expressions for the normal velocity of the fluid on the plate are derived. Then, both are compared to obtain a hypersingular integral equation of the second kind in the unknown potential difference across the plate. The resulting integral equation is solved numerically, and the solution is used to find different physical quantities. The accuracy of the numerical results is verified through the energy identity and by comparing the results with those in the existing literature. Various hydrodynamic quantities are depicted graphically for varying parametric values.
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Metadata
Title
Linear water wave propagation in the presence of an inclined flexible plate with variable porosity
Authors
Mansi Singh
R. Gayen
Souvik Kundu
Publication date
09-07-2022
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 9/2022
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-022-02201-6

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