Abstract
The linearized porous wavemaker theory developed by Chwang [3] has been applied to analyze the small-amplitude surface waves produced by a piston-type porous wavemaker near the end of a semi-infinitely long channel of constant depth. Analytical solutions in closed forms are obtained for the free-surface wave profile, the hydrodynamic pressure distribution, and the net force on the wavemaker. The influence of a dimensionless wave-effect parameter C and a dimensionless porous-effect parameter G on the analytical results is discussed. It is found that when the distance between the wavemaker and the channel end-plate is a multiple of the half-wavelength of propagating surface waves, resonance will occur. The “wave-trapping” phenomenon due to resonance is also discussed.
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