Dispersion (water waves) | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-10-02

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Dispersion_(water_waves)


00:01:16 1 Frequency dispersion for surface gravity waves
00:01:46 1.1 Wave propagation and dispersion
00:04:29 1.2 Phase velocity
00:05:32 1.3 Group velocity
00:07:56 1.4 Multi-component wave patterns
00:10:48 1.5 Dispersion relation
00:11:37 2 History
00:21:32 3 Surface tension effects
00:22:44 4 Interfacial waves
00:22:57 5 Nonlinear effects
00:23:50 5.1 Shallow water
00:24:33 5.2 Deep water
00:24:40 6 Waves on a mean current: Doppler shift
00:25:44 7 See also
00:26:23 7.1 Other articles on dispersion
00:28:36 7.2 Dispersive water-wave models
00:28:46 8 Notes
00:30:21 9 References
00:32:16 10 External links
00:33:38 |k|. The dot product k•V is equal to: k•V
00:33:48 |V|. And α the angle between the wave propagation direction and the mean flow direction. For waves and current in the same direction, k•V=kV.
00:34:03 See also
00:34:13 === Other articles on dispersion
00:34:31 Dispersive water-wave models



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SUMMARY
=======
In fluid dynamics, dispersion of water waves generally refers to frequency dispersion, which means that waves of different wavelengths travel at different phase speeds. Water waves, in this context, are waves propagating on the water surface, with gravity and surface tension as the restoring forces. As a result, water with a free surface is generally considered to be a dispersive medium.
For a certain water depth, surface gravity waves – i.e. waves occurring at the air–water interface and gravity as the only force restoring it to flatness – propagate faster with increasing wavelength. On the other hand, for a given (fixed) wavelength, gravity waves in deeper water have a larger phase speed than in shallower water. In contrast with the behavior of gravity waves, capillary waves (i.e. only forced by surface tension) propagate faster for shorter wavelengths.
Besides frequency dispersion, water waves also exhibit amplitude dispersion. This is a nonlinear effect, by which waves of larger amplitude have a different phase speed from small-amplitude waves.