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Title:
Scott Russell's wave generator
Authors:
Monaghan, J. J.; Kos, A.
Affiliation:
Department of Mathematics, Monash University, Clayton Victoria 3168, Australia
Publication:
Physics of Fluids, Volume 12, Issue 3, pp. 622-630 (2000). (PhFl Homepage)
Publication Date:
03/2000
Origin:
AIP
Abstract Copyright:
(c) 2000: American Institute of Physics.
DOI:
10.1063/1.870269
Bibliographic Code:
2000PhFl...12..622M

Abstract

In this paper we study the dynamics of a system consisting of a heavy box sinking vertically into water. The classic configuration is due to Scott Russell who used the sinking box in 1844 to illustrate the formation of a solitary wave in a long rectangular tank. We use a combination of computer simulation and experiment to clarify details of the wave formation and the dynamics of the sinking box. We find that as the box sinks the water is heaved up to form both the solitary wave and a reverse plunging wave which forms a vortex. This vortex follows the wave down the tank. The computer simulation uses the particle method smoothed particle hydrodynamics (SPH) which allows us to follow the formation of the waves and the dynamics of the box. The simulation results are in satisfactory agreement with the experiments. We derive scaling relations for the velocity of the box and for the amplitude of the solitary wave. These scaling relations are in reasonable agreement with the experiments and the simulations.
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