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Experimental and theoretical investigation of nonlinear sloshing waves in a rectangular channel

Published online by Cambridge University Press:  21 April 2006

E. Kit ,
L. Shemer  and
T. Miloh
E. Kit
Affiliation:
Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel
L. Shemer
Affiliation:
Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel
T. Miloh
Affiliation:
Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel
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Abstract

Experimental and theoretical studies of sloshing waves in a rectangular channel in the vicinity of the second cutoff frequency are presented. The experiments were performed in a wave tank which is 1.2 m wide, 18 m long and 0.9 m deep. Sloshing waves were generated by a computer-controlled segmented wavemaker consisting of four independent modules. A sharp transition between two wave patterns, which exhibited hysteresis-type behaviour, was observed. At lower forcing frequencies a steady wave regime was obtained, while at higher frequencies modulation on a long timescale appeared. At stronger forcing, solitons were generated periodically at the wavemaker and then propagated away with a seemingly constant velocity. Experimental results are compared with numerical solutions of the appropriate nonlinear Schrödinger equation, a derivation of which is also presented. The importance of dissipation on the physical processes of wave evolution is discussed, and a simple dissipative model is suggested and incorporated in the governing equations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 181 , August 1987 , pp. 265 - 291
Copyright
© 1987 Cambridge University Press

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