FARADAY WAVES: THE CROSS WAVE RESONANT INSTABILITY.
CHICAGO UNIV ILL DEPT OF THE GEOPHYSICAL SCIENCES
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The paper explains the mechanism through which the transverse waves that are often observed in wave tanks are created. It is shown that regular trains of progressive waves created by any type of wavemaker are unstable to disturbances along their crests, and that the disturbance most often observed has a frequency exactly half that of the progressive waves themselves. A curve of neutral stability is determined analytically and verified experimentally. The stabilizing effects of molecular viscosity are accounted for in an approximate way. The possible relevance of this non-linear subharmonic resonant interaction to the problem of edge wave generation is discussed briefly. Author
- Physical and Dynamic Oceanography
- Fluid Mechanics