NON-LINEAR STANDING WAVES IN A RECTANGULAR TANK DUE TO FORCED OSCILLATION.
Technical rept. for Oct 59-Oct 60,
MASSACHUSETTS INST OF TECH CAMBRIDGE HYDRODYNAMICS LAB
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The study is concerned with standing waves generated by a two-dimensional wave maker in a rectangular tank. The theoretical investigation was first based on the well -known linear theory of surface waves. The linearized version of the problem is basically two-dimensional and the solution of forced two-dimensional standing waves of small amplitude was obtained. Then, a system of equations, based on the exact free surface conditions, was derived for solutions of forced two-dimensional standing waves of finite amplitude. The frequency-amplitude curves for two constant amplitudes of wave maker were found to consist of two non-intersecting branches of oscillation the range of significant non-linear effects was also determined for the particular mode. Two profiles of standing waves were computed for the frequencies on each branch of the oscillation. The stability of non-linear forced two-dimensional standing waves was studied by investigating the possibility of excitation of the fundamental mode of cross waves. Author
- Fluid Mechanics