File:Phase and group velocity as a function of depth.svg

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English: The phase velocity cp (blue line) and group velocity cg (red line) as a function of water depth h, for surface gravity waves of constant period according to Airy wave theory.
Quantities have been made dimensionless using the gravitational acceleration g and period T. The deep-water wavelength is L0 = g/(2π)T2 and the deep-water phase speed is c0 = L0/T.
The grey line corresponds with the shallow-water limit cp =cg = √(gh). The phase velocity cp is related to the wavelength L through cp = L/T. Consequently, for fixed period T, L/L0 varies identical to cp/c0 with depth changes.
Date
Source Own work
Author Kraaiennest /
Reference
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Wiegel, R.L. (2013) Oceanographical Engineering, Dover Publications, pp. 14–17, Figure 2.4 ISBN: 0-486-16019-X.
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current12:53, 10 September 2014Thumbnail for version as of 12:53, 10 September 2014512 × 338 (112 KB)wikimediacommons>Kraaiennestcorrect typo in axis label

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