Wave forces on a submerged horizontal plate - Part I: Theory and modelling

Masoud Hayatdavoodi, R. Cengiz Ertekin

Research output: Contribution to journalArticlepeer-review

62 Citations (Scopus)


This paper is concerned with the propagation of nonlinear gravity waves over a thin horizontal plate submerged in water of shallow depth. An unsteady solution of the problem is obtained by use of the theory of directed fluid-sheets for the two-dimensional motion of an incompressible and inviscid fluid. Particular attention is paid to the calculation of the nonlinear wave-induced vertical and horizontal forces and overturning moment by solving the Level I Green-Naghdi equations. The theoretical formulation of the problem is given in this paper (Part I), while the results due to solitary and cnoidal waves, and comparisons with the available experimental data are given in a companion paper under the same title (Part II).

Original languageEnglish
Pages (from-to)566-579
Number of pages14
JournalJournal of Fluids and Structures
Early online date25 Feb 2015
Publication statusPublished - Apr 2015


  • Green-Naghdi equations
  • Shallow-water waves
  • Submerged horizontal plate
  • Wave forces

ASJC Scopus subject areas

  • Mechanical Engineering


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