Study of the role of dissipation in evolution of nonlinear sloshing waves in a rectangular channel

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Abstract
The influence of dissipation at the modular four segment wavemaker and at the solid walls, on the evolution of sloshing waves in the vicinity of the second cut-off frequency in a rectangular tank, was studied both experimentally and theoretically. Experiments were performed at two different geometries of the wavemaker with correspondingly different dissipation rates. The conclusions regarding the importance of the dissipation rate at the wavemaker could thus be drawn. A model which allows to incorporate dissipation in the governing equation and in the wavemaker boundary condition, is presented. The actual values of the dissipation coefficients at the wavemaker were chosen by realizing the importance of the vortex shedding at the edges of the solid surfaces of the modular wavemaker. Stationary and modulated regimes were obtained both experimentally and numerically by varying the value of the detuning parameter.

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