Reflection of capillary-gravity waves
type: Item
instance of: scholarly article
title: Reflection of capillary-gravity waves
zbMATH Open document ID: 0611.76015
DOI: 10.1016/0165-2125(87)90012-6
author: L. M. Hocking
published in: Wave Motion
publication date: 1987-01-01T00:00:00Z
review text: The reflection of a capillary-gravity wave by a partially immersed obstacle depends on the conditions applied at the contact line between the free surface of the fluid and the boundary of the obstacle. The contact angle varies with the speed of the contact line relative to the boundary and a simple model of this variation is used to determine the reflection and transmission coefficients for a vertical plane barrier of finite depth. The incident plane wave has its crests parallel to the plate and the fluid is of infinite depth. The varying contact angle requires that energy be dissipated at the edge, and the proportion of the incident energy that is reflected, transmitted and dissipated is also calculated.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 76B45
zbMATH DE Number: 3988910
zbMATH Keywords: reflection
zbMATH Keywords: capillary-gravity wave
zbMATH Keywords: partially immersed obstacle
zbMATH Keywords: free surface
zbMATH Keywords: contact angle
zbMATH Keywords: transmission coefficients
zbMATH Keywords: vertical plane barrier of finite depth
zbMATH Keywords: plane wave
MaRDI profile type: Publication
full work available at URL: 0165-2125(87)90012-6
OpenAlex ID: W2042525714
cites work: Some effects of surface tension on steep water waves
cites work: Nonlinear gravity–capillary standing waves in water of arbitrary uniform depth
cites work: Gravity-capillary waves with edge constraints
cites work: The damping of capillary–gravity waves at a rigid boundary
cites work: Waves produced by a vertically oscillating plate
description: scientific article; zbMATH DE number 3988910