Particle trajectories in linear periodic capillary and capillary-gravity water waves

David Henry

doi:10.1098/rsta.2007.2005

Particle trajectories in linear periodic capillary and capillary-gravity water waves

David Henry

Trinity College Dublin

Research output: Contribution to journal › Article › peer-review

Abstract

Surface tension plays a significant role as a restoration force in the setting of smallamplitude waves, leading to pure capillary and gravity-capillary waves. We show that within the framework of linear theory, the particle paths in a periodic gravity-capillary or pure capillary wave propagating at the surface of water over a flat bed are not closed.

Original language	English
Pages (from-to)	2241-2251
Number of pages	11
Journal	Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
Volume	365
Issue number	1858
DOIs	https://doi.org/10.1098/rsta.2007.2005
Publication status	Published - 15 Sep 2007
Externally published	Yes

Keywords

Linear water waves
Particle trajectory
Surface tension

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10.1098/rsta.2007.2005

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title = "Particle trajectories in linear periodic capillary and capillary-gravity water waves",

abstract = "Surface tension plays a significant role as a restoration force in the setting of smallamplitude waves, leading to pure capillary and gravity-capillary waves. We show that within the framework of linear theory, the particle paths in a periodic gravity-capillary or pure capillary wave propagating at the surface of water over a flat bed are not closed.",

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N2 - Surface tension plays a significant role as a restoration force in the setting of smallamplitude waves, leading to pure capillary and gravity-capillary waves. We show that within the framework of linear theory, the particle paths in a periodic gravity-capillary or pure capillary wave propagating at the surface of water over a flat bed are not closed.

AB - Surface tension plays a significant role as a restoration force in the setting of smallamplitude waves, leading to pure capillary and gravity-capillary waves. We show that within the framework of linear theory, the particle paths in a periodic gravity-capillary or pure capillary wave propagating at the surface of water over a flat bed are not closed.

KW - Linear water waves

KW - Particle trajectory

KW - Surface tension

UR - https://www.scopus.com/pages/publications/34548285474

U2 - 10.1098/rsta.2007.2005

DO - 10.1098/rsta.2007.2005

M3 - Article

AN - SCOPUS:34548285474

SN - 1364-503X

VL - 365

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JO - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

JF - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

IS - 1858

ER -

Particle trajectories in linear periodic capillary and capillary-gravity water waves

Abstract

Keywords

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