The effect of viscosity on the transient free-surface waves in a two-dimensional tank

G. X. Wu; R. Eatock Taylor; D. M. Greaves

doi:10.1023/A:1017558826258

The effect of viscosity on the transient free-surface waves in a two-dimensional tank

G. X. Wu^*, R. Eatock Taylor, D. M. Greaves

^*Corresponding author for this work

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

Abstract

The paper attempts to develop some understanding of the interaction between viscous flow and a free surface by analysing the unsteady flow in an idealised two-dimensional rectangular tank. The mathematical model used is based on the linearized Navier-Stokes equations which are solved by use of the Laplace transform. Various results are provided to show the effect of viscosity on the free surface waves.

Original language	English
Pages (from-to)	77-90
Number of pages	14
Journal	Journal of Engineering Mathematics
Volume	40
Issue number	1
DOIs	https://doi.org/10.1023/A:1017558826258
Publication status	Published - May 2001
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
General Engineering

Keywords

Free surface
Sloshing waves
Viscosity

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10.1023/A:1017558826258

Cite this

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abstract = "The paper attempts to develop some understanding of the interaction between viscous flow and a free surface by analysing the unsteady flow in an idealised two-dimensional rectangular tank. The mathematical model used is based on the linearized Navier-Stokes equations which are solved by use of the Laplace transform. Various results are provided to show the effect of viscosity on the free surface waves.",

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AB - The paper attempts to develop some understanding of the interaction between viscous flow and a free surface by analysing the unsteady flow in an idealised two-dimensional rectangular tank. The mathematical model used is based on the linearized Navier-Stokes equations which are solved by use of the Laplace transform. Various results are provided to show the effect of viscosity on the free surface waves.

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KW - Viscosity

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The effect of viscosity on the transient free-surface waves in a two-dimensional tank

Abstract

ASJC Scopus subject areas

Keywords

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