The effect of slatted screens on waves

S. Crowley*, Richard Porter

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

22 Citations (Scopus)

Abstract

A linearised model is proposed for the transmission of waves through thin vertical porous barriers, where both the inertial and dominant quadratic drag effects are included. A boundary-value problem is developed in which linear boundary conditions holding along the length of the screen are derived from a pair of canonical wave problems, one including an exact geometric description of a slatted screen to determine an inertia coefficient and the other using a quadratic drag law to determine an equivalent linear drag coefficient. The model is then applied to a range of wave scattering and sloshing problems involving thin vertical slatted screens in various settings. In each case results are verified by comparison to the solution of a direct non-linear calculation where the effects of drag have been isolated. We show that the solution to our canonical problem provides a good approximation to the solution of each of the model problems.

Original languageEnglish
Pages (from-to)33-57
Number of pages25
JournalJournal of Engineering Mathematics
Volume76
Issue number1
DOIs
Publication statusPublished - Oct 2012

Keywords

  • Inertial effects
  • Quadratic drag law
  • Slatted screens
  • Water waves

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