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2006•The ANZIAM JournalOpen access

A note on solitary waves with variable surface tension in water of infinite depth

E. Özuğurlu, Jean‐Marc Vanden‐Broeck

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Abstract

Abstract Two-dimensional gravity-capillary solitary waves propagating at the surface of a fluid of infinite depth are considered. The effects of gravity and of variable surface tension are included in the free-surface boundary condition. The numerical results extend the constant surface tension results of Vanden-Broeck and Dias to situations where the surface tension varies along the free surface.

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Abstract Two-dimensional gravity-capillary solitary waves propagating at the surface of a fluid of infinite depth are considered. The effects of gravity and of variable surface tension are included in the free-surface boundary condition. The numerical results extend the constant surface tension results of Vanden-Broeck and Dias to situations where the surface tension varies along the free surface.

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Abstract Two-dimensional gravity-capillary solitary waves propagating at the surface of a fluid of infinite depth are considered. The effects of gravity and of variable surface tension are included in the free-surface boundary condition. The numerical results extend the constant surface tension results of Vanden-Broeck and Dias to situations where the surface tension varies along the free surface.

Key concepts: Surface tension, Free surface, Capillary wave, Capillary surface, Surface (topology), Capillary length, Constant (computer programming), Variable (mathematics)

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