Accession Number:

AD0630775

Title:

Non-linear Standing Waves in a Rectangular Tank Due to Forced Oscillation

Descriptive Note:

[Technical Report, Technical Report]

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE

Personal Author(s):

• Lin, J. D.
• Howard, L. N.

Report Date:

1960-10-01

Pagination or Media Count:

123

Abstract:

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.

Descriptors:

Subject Categories:

• Fluid Mechanics

Distribution Statement:

[A, Approved For Public Release]