Article

Oblique wave analysis under current conditions on a floating flexible membrane

Physics of Fluids

Mohapatra, S.C. ; Guedes Soares, C. — 2025 — AIP Publishing

Key information

Authors:

Mohapatra, S.C. (Sarat Chandra Mohapatra); Guedes Soares, C. (Carlos Guedes Soares)

Published in

July 2025

Abstract

A theoretical oblique wave and current loading model on a floating flexible membrane is developed under the linearized water wave theory in different water depths. Green's functions in integral and series forms and dispersion relations are derived from the fundamental source potentials in various water depths. Further, the wave velocities in the presence of oblique waves and currents in different water depths, as well as existing theoretical literature results, are compared and discussed. Furthermore, a physical model is presented by utilizing the series expansion and dispersion formulas derived by using the Green's function technique. The computational correctness of the current solution is verified by inspecting the convergence study and validating against experimental test results recently published. The membrane deformation result obtained in this study is compared to existing nonlinear numerical Galerkin finite element method results, demonstrating good agreement and supporting the validity of the present findings. Various results were analyzed regarding the combined effect of oblique waves and currents on the different wave quantities, membrane deformation, and vertical loads on the floating membrane. It is found that as the value of the oblique angle rises with a certain value of current speed (CS), the membrane deformation becomes lower and the vertical load increases. This analysis provides the basis for designing wave energy converters and breakwaters by clarifying how oblique angles and CSs affect them.

Publication details

Authors in the community:

Publication version

AO - Author's Original

Publisher

AIP Publishing

Link to the publisher's version

https://pubs.aip.org/aip/pof/article/37/7/077181/3356204/Oblique-wave-analysis-under-current-conditions-on

Title of the publication container

Physics of Fluids

First page or article number

077181

Volume

37

Issue

7

DOI

10.1063/5.0278003

Fields of Science and Technology (FOS)

other-engineering-and-technologies - Other engineering and technologies

Keywords

  • Structural plate vibrations
  • Wave power
  • Oceanography
  • MATLAB
  • Partial differential equations
  • Coordinate system
  • Series expansion
  • Complex analysis
  • Green-functions technique
  • Hydrodynamical interactions
  • Oblique angle
  • Current condition
  • Floating membrane Theoretical model
  • Wave celerity
  • Deformation

Publication language (ISO code)

eng - English

Rights type:

Open access

Financing entity

Fundação para a Ciência e a Tecnologia

Identifier for the funding entity: https://doi.org/10.13039/501100001871

Type of identifier of the funding entity: Crossref Funder

Number for the project, award or grant: UIDB/UIDP/00134/2020.