A review of pressure loss characteristics during water waves passaging through perforated plates

Abstract

When water waves pass through a perforated thin plate (wall), the wave energy will be partially dissipated and the phase of wave motion is also shifted. In the potential flow analysis, an appropriate boundary condition needs to be imposed on the perforated plate to consider the energy dissipation and phase shift. This paper reviews the pressure loss conditions on perforated plates used in the potential flow analysis, i.e., the relationships between the pressure difference on both sides of the plate and the normal fluid velocity across the plate. These conditions include two kinds of linear boundary conditions based on Darcy law and porous medium theory, respectively, and two kinds of quadratic boundary conditions based on the viewpoints of Mei et al. (1974) and Molin (1992), respectively. Several methods for estimating the control parameters (such as porous effect parameter, linearized resistance coefficient, discharge coefficient, and blockage coefficient) in the pressure loss conditions are also reviewed. The internal relations between two linear conditions, between two nonlinear conditions, and between linear and nonlinear conditions are expounded. Then, water wave interaction with a perforated caisson breakwater is considered to show the application of different pressure loss conditions on perforated plates. Finally, the possible research orientation of the pressure loss conditions and their control parameters are prospected.